title: Table of prime factors
text: # Table of prime factors
  
  The tables contain the prime factorization of the natural numbers from 1 to 1000.
  
  When n is a prime number, the prime factorization is just n itself, written in bold below.
  
  The number 1 is called a unit. It has no prime factors and is neither prime nor composite.
  
  ## Properties
  
  Many properties of a natural number n can be seen or directly computed from the prime factorization of n.
  
  * The multiplicity of a prime factor p of n is the largest exponent m for which $p^m$ divides n. The tables show the multiplicity for each prime factor. If no exponent is written then the multiplicity is 1 (since p = $p^1).$ The multiplicity of a prime which does not divide n may be called 0 or may be considered undefined.
  * Ω(n), the big Omega function, is the number of prime factors of n counted with multiplicity (so it is the sum of all prime factor multiplicities).
  * A prime number has Ω(n) = 1. The first: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37 (sequence A000040 in the OEIS). There are many special types of prime numbers.
  * A composite number has Ω(n) > 1. The first: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21 (sequence A002808 in the OEIS). All numbers above 1 are either prime or composite. 1 is neither.
  * A semiprime has Ω(n) = 2 (so it is composite). The first: 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, 33, 34 (sequence A001358 in the OEIS).
  * A k-almost prime (for a natural number k) has Ω(n) = k (so it is composite if k > 1).
  * An even number has the prime factor 2. The first: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24 (sequence A005843 in the OEIS).
  * An odd number does not have the prime factor 2. The first: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23 (sequence A005408 in the OEIS). All integers are either even or odd.
  * A square has even multiplicity for all prime factors (it is of the form $a^2$ for some a). The first: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 (sequence A000290 in the OEIS).
  * A cube has all multiplicities divisible by 3 (it is of the form $a^3$ for some a). The first: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728 (sequence A000578 in the OEIS).
  * A perfect power has a common divisor m > 1 for all multiplicities (it is of the form $a^m$ for some a > 1 and m > 1). The first: 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 81, 100 (sequence A001597 in the OEIS). 1 is sometimes included.
  * A powerful number (also called squareful) has multiplicity above 1 for all prime factors. The first: 1, 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 72 (sequence A001694 in the OEIS).
  * A prime power has only one prime factor. The first: 2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19 (sequence A000961 in the OEIS). 1 is sometimes included.
  * An Achilles number is powerful but not a perfect power. The first: 72, 108, 200, 288, 392, 432, 500, 648, 675, 800, 864, 968 (sequence A052486 in the OEIS).
  * A square-free integer has no prime factor with multiplicity above 1. The first: 1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 17 (sequence A005117 in the OEIS)). A number where some but not all prime factors have multiplicity above 1 is neither square-free nor squareful.
  * The Liouville function λ(n) is 1 if Ω(n) is even, and is -1 if Ω(n) is odd.
  * The Möbius function μ(n) is 0 if n is not square-free. Otherwise μ(n) is 1 if Ω(n) is even, and is −1 if Ω(n) is odd.
  * A sphenic number has Ω(n) = 3 and is square-free (so it is the product of 3 distinct primes). The first: 30, 42, 66, 70, 78, 102, 105, 110, 114, 130, 138, 154 (sequence A007304 in the OEIS).
  * $a_0(n)$ is the sum of primes dividing n, counted with multiplicity. It is an additive function.
  * A Ruth-Aaron pair is two consecutive numbers (x, x+1) with $a_0(x)$ = $a_0(x+1).$ The first (by x value): 5, 8, 15, 77, 125, 714, 948, 1330, 1520, 1862, 2491, 3248 (sequence A039752 in the OEIS), another definition is the same prime only count once, if so, the first (by x value): 5, 24, 49, 77, 104, 153, 369, 492, 714, 1682, 2107, 2299 (sequence A006145 in the OEIS)
  * A primorial x# is the product of all primes from 2 to x. The first: 2, 6, 30, 210, 2310, 30030, 510510, 9699690, 223092870, 6469693230, 200560490130, 7420738134810 (sequence A002110 in the OEIS). 1# = 1 is sometimes included.
  * A factorial x! is the product of all numbers from 1 to x. The first: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600 (sequence A000142 in the OEIS). 0! = 1 is sometimes included.
  * A k-smooth number (for a natural number k) has largest prime factor ≤ k (so it is also j-smooth for any j > k).
  * m is smoother than n if the largest prime factor of m is below the largest of n.
  * A regular number has no prime factor above 5 (so it is 5-smooth). The first: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16 (sequence A051037 in the OEIS).
  * A k-powersmooth number has all $p^m$ ≤ k where p is a prime factor with multiplicity m.
  * A frugal number has more digits than the number of digits in its prime factorization (when written like below tables with multiplicities above 1 as exponents). The first in decimal: 125, 128, 243, 256, 343, 512, 625, 729, 1024, 1029, 1215, 1250 (sequence A046759 in the OEIS).
  * An equidigital number has the same number of digits as its prime factorization. The first in decimal: 1, 2, 3, 5, 7, 10, 11, 13, 14, 15, 16, 17 (sequence A046758 in the OEIS).
  * An extravagant number has fewer digits than its prime factorization. The first in decimal: 4, 6, 8, 9, 12, 18, 20, 22, 24, 26, 28, 30 (sequence A046760 in the OEIS).
  * An economical number has been defined as a frugal number, but also as a number that is either frugal or equidigital.
  * gcd(m, n) (greatest common divisor of m and n) is the product of all prime factors which are both in m and n (with the smallest multiplicity for m and n).
  * m and n are coprime (also called relatively prime) if gcd(m, n) = 1 (meaning they have no common prime factor).
  * lcm(m, n) (least common multiple of m and n) is the product of all prime factors of m or n (with the largest multiplicity for m or n).
  * gcd(m, n) × lcm(m, n) = m × n. Finding the prime factors is often harder than computing gcd and lcm using other algorithms which do not require known prime factorization.
  * m is a divisor of n (also called m divides n, or n is divisible by m) if all prime factors of m have at least the same multiplicity in n.
  
  The divisors of n are all products of some or all prime factors of n (including the empty product 1 of no prime factors). The number of divisors can be computed by increasing all multiplicities by 1 and then multiplying them. Divisors and properties related to divisors are shown in table of divisors.
  
  ## 1 to 100
  
  1 − 20 :
  
  | 1 | |
  | - | - |
  | 2 | 2 |
  | 3 | 3 |
  | 4 | $2^2$ |
  | 5 | 5 |
  | 6 | 2·3 |
  | 7 | 7 |
  | 8 | $2^3$ |
  | 9 | $3^2$ |
  | 10 | 2·5 |
  | 11 | 11 |
  | 12 | $2^2·3$ |
  | 13 | 13 |
  | 14 | 2·7 |
  | 15 | 3·5 |
  | 16 | $2^4$ |
  | 17 | 17 |
  | 18 | $2·3^2$ |
  | 19 | 19 |
  | 20 | $2^2·5$ |
  
  21 − 40 :
  
  | 21 | 3·7 |
  | - | - |
  | 22 | 2·11 |
  | 23 | 23 |
  | 24 | $2^3·3$ |
  | 25 | $5^2$ |
  | 26 | 2·13 |
  | 27 | $3^3$ |
  | 28 | $2^2·7$ |
  | 29 | 29 |
  | 30 | 2·3·5 |
  | 31 | 31 |
  | 32 | $2^5$ |
  | 33 | 3·11 |
  | 34 | 2·17 |
  | 35 | 5·7 |
  | 36 | $2^2·3^2$ |
  | 37 | 37 |
  | 38 | 2·19 |
  | 39 | 3·13 |
  | 40 | $2^3·5$ |
  
  41 − 60 :
  
  | 41 | 41 |
  | - | - |
  | 42 | 2·3·7 |
  | 43 | 43 |
  | 44 | $2^2·11$ |
  | 45 | $3^2·5$ |
  | 46 | 2·23 |
  | 47 | 47 |
  | 48 | $2^4·3$ |
  | 49 | $7^2$ |
  | 50 | $2·5^2$ |
  | 51 | 3·17 |
  | 52 | $2^2·13$ |
  | 53 | 53 |
  | 54 | $2·3^3$ |
  | 55 | 5·11 |
  | 56 | $2^3·7$ |
  | 57 | 3·19 |
  | 58 | 2·29 |
  | 59 | 59 |
  | 60 | $2^2·3·5$ |
  
  61 − 80 :
  
  | 61 | 61 |
  | - | - |
  | 62 | 2·31 |
  | 63 | $3^2·7$ |
  | 64 | $2^6$ |
  | 65 | 5·13 |
  | 66 | 2·3·11 |
  | 67 | 67 |
  | 68 | $2^2·17$ |
  | 69 | 3·23 |
  | 70 | 2·5·7 |
  | 71 | 71 |
  | 72 | $2^3·3^2$ |
  | 73 | 73 |
  | 74 | 2·37 |
  | 75 | $3·5^2$ |
  | 76 | $2^2·19$ |
  | 77 | 7·11 |
  | 78 | 2·3·13 |
  | 79 | 79 |
  | 80 | $2^4·5$ |
  
  81 − 100 :
  
  | 81 | $3^4$ |
  | - | - |
  | 82 | 2·41 |
  | 83 | 83 |
  | 84 | $2^2·3·7$ |
  | 85 | 5·17 |
  | 86 | 2·43 |
  | 87 | 3·29 |
  | 88 | $2^3·11$ |
  | 89 | 89 |
  | 90 | $2·3^2·5$ |
  | 91 | 7·13 |
  | 92 | $2^2·23$ |
  | 93 | 3·31 |
  | 94 | 2·47 |
  | 95 | 5·19 |
  | 96 | $2^5·3$ |
  | 97 | 97 |
  | 98 | $2·7^2$ |
  | 99 | $3^2·11$ |
  | 100 | $2^2·5^2$ |
  
  ## 101 to 200
  
  101 − 120 :
  
  | 101 | 101 |
  | - | - |
  | 102 | 2·3·17 |
  | 103 | 103 |
  | 104 | $2^3·13$ |
  | 105 | 3·5·7 |
  | 106 | 2·53 |
  | 107 | 107 |
  | 108 | $2^2·3^3$ |
  | 109 | 109 |
  | 110 | 2·5·11 |
  | 111 | 3·37 |
  | 112 | $2^4·7$ |
  | 113 | 113 |
  | 114 | 2·3·19 |
  | 115 | 5·23 |
  | 116 | $2^2·29$ |
  | 117 | $3^2·13$ |
  | 118 | 2·59 |
  | 119 | 7·17 |
  | 120 | $2^3·3·5$ |
  
  121 − 140 :
  
  | 121 | $11^2$ |
  | - | - |
  | 122 | 2·61 |
  | 123 | 3·41 |
  | 124 | $2^2·31$ |
  | 125 | $5^3$ |
  | 126 | $2·3^2·7$ |
  | 127 | 127 |
  | 128 | $2^7$ |
  | 129 | 3·43 |
  | 130 | 2·5·13 |
  | 131 | 131 |
  | 132 | $2^2·3·11$ |
  | 133 | 7·19 |
  | 134 | 2·67 |
  | 135 | $3^3·5$ |
  | 136 | $2^3·17$ |
  | 137 | 137 |
  | 138 | 2·3·23 |
  | 139 | 139 |
  | 140 | $2^2·5·7$ |
  
  141 − 160 :
  
  | 141 | 3·47 |
  | - | - |
  | 142 | 2·71 |
  | 143 | 11·13 |
  | 144 | $2^4·3^2$ |
  | 145 | 5·29 |
  | 146 | 2·73 |
  | 147 | $3·7^2$ |
  | 148 | $2^2·37$ |
  | 149 | 149 |
  | 150 | $2·3·5^2$ |
  | 151 | 151 |
  | 152 | $2^3·19$ |
  | 153 | $3^2·17$ |
  | 154 | 2·7·11 |
  | 155 | 5·31 |
  | 156 | $2^2·3·13$ |
  | 157 | 157 |
  | 158 | 2·79 |
  | 159 | 3·53 |
  | 160 | $2^5·5$ |
  
  161 − 180 :
  
  | 161 | 7·23 |
  | - | - |
  | 162 | $2·3^4$ |
  | 163 | 163 |
  | 164 | $2^2·41$ |
  | 165 | 3·5·11 |
  | 166 | 2·83 |
  | 167 | 167 |
  | 168 | $2^3·3·7$ |
  | 169 | $13^2$ |
  | 170 | 2·5·17 |
  | 171 | $3^2·19$ |
  | 172 | $2^2·43$ |
  | 173 | 173 |
  | 174 | 2·3·29 |
  | 175 | $5^2·7$ |
  | 176 | $2^4·11$ |
  | 177 | 3·59 |
  | 178 | 2·89 |
  | 179 | 179 |
  | 180 | $2^2·3^2·5$ |
  
  181 − 200 :
  
  | 181 | 181 |
  | - | - |
  | 182 | 2·7·13 |
  | 183 | 3·61 |
  | 184 | $2^3·23$ |
  | 185 | 5·37 |
  | 186 | 2·3·31 |
  | 187 | 11·17 |
  | 188 | $2^2·47$ |
  | 189 | $3^3·7$ |
  | 190 | 2·5·19 |
  | 191 | 191 |
  | 192 | $2^6·3$ |
  | 193 | 193 |
  | 194 | 2·97 |
  | 195 | 3·5·13 |
  | 196 | $2^2·7^2$ |
  | 197 | 197 |
  | 198 | $2·3^2·11$ |
  | 199 | 199 |
  | 200 | $2^3·5^2$ |
  
  ## 201 to 300
  
  201 − 220 :
  
  | 201 | 3·67 |
  | - | - |
  | 202 | 2·101 |
  | 203 | 7·29 |
  | 204 | $2^2·3·17$ |
  | 205 | 5·41 |
  | 206 | 2·103 |
  | 207 | $3^2·23$ |
  | 208 | $2^4·13$ |
  | 209 | 11·19 |
  | 210 | 2·3·5·7 |
  | 211 | 211 |
  | 212 | $2^2·53$ |
  | 213 | 3·71 |
  | 214 | 2·107 |
  | 215 | 5·43 |
  | 216 | $2^3·3^3$ |
  | 217 | 7·31 |
  | 218 | 2·109 |
  | 219 | 3·73 |
  | 220 | $2^2·5·11$ |
  
  221 − 240 :
  
  | 221 | 13·17 |
  | - | - |
  | 222 | 2·3·37 |
  | 223 | 223 |
  | 224 | $2^5·7$ |
  | 225 | $3^2·5^2$ |
  | 226 | 2·113 |
  | 227 | 227 |
  | 228 | $2^2·3·19$ |
  | 229 | 229 |
  | 230 | 2·5·23 |
  | 231 | 3·7·11 |
  | 232 | $2^3·29$ |
  | 233 | 233 |
  | 234 | $2·3^2·13$ |
  | 235 | 5·47 |
  | 236 | $2^2·59$ |
  | 237 | 3·79 |
  | 238 | 2·7·17 |
  | 239 | 239 |
  | 240 | $2^4·3·5$ |
  
  241 − 260 :
  
  | 241 | 241 |
  | - | - |
  | 242 | $2·11^2$ |
  | 243 | $3^5$ |
  | 244 | $2^2·61$ |
  | 245 | $5·7^2$ |
  | 246 | 2·3·41 |
  | 247 | 13·19 |
  | 248 | $2^3·31$ |
  | 249 | 3·83 |
  | 250 | $2·5^3$ |
  | 251 | 251 |
  | 252 | $2^2·3^2·7$ |
  | 253 | 11·23 |
  | 254 | 2·127 |
  | 255 | 3·5·17 |
  | 256 | $2^8$ |
  | 257 | 257 |
  | 258 | 2·3·43 |
  | 259 | 7·37 |
  | 260 | $2^2·5·13$ |
  
  261 − 280 :
  
  | 261 | $3^2·29$ |
  | - | - |
  | 262 | 2·131 |
  | 263 | 263 |
  | 264 | $2^3·3·11$ |
  | 265 | 5·53 |
  | 266 | 2·7·19 |
  | 267 | 3·89 |
  | 268 | $2^2·67$ |
  | 269 | 269 |
  | 270 | $2·3^3·5$ |
  | 271 | 271 |
  | 272 | $2^4·17$ |
  | 273 | 3·7·13 |
  | 274 | 2·137 |
  | 275 | $5^2·11$ |
  | 276 | $2^2·3·23$ |
  | 277 | 277 |
  | 278 | 2·139 |
  | 279 | $3^2·31$ |
  | 280 | $2^3·5·7$ |
  
  281 − 300 :
  
  | 281 | 281 |
  | - | - |
  | 282 | 2·3·47 |
  | 283 | 283 |
  | 284 | $2^2·71$ |
  | 285 | 3·5·19 |
  | 286 | 2·11·13 |
  | 287 | 7·41 |
  | 288 | $2^5·3^2$ |
  | 289 | $17^2$ |
  | 290 | 2·5·29 |
  | 291 | 3·97 |
  | 292 | $2^2·73$ |
  | 293 | 293 |
  | 294 | $2·3·7^2$ |
  | 295 | 5·59 |
  | 296 | $2^3·37$ |
  | 297 | $3^3·11$ |
  | 298 | 2·149 |
  | 299 | 13·23 |
  | 300 | $2^2·3·5^2$ |
  
  ## 301 to 400
  
  301 − 320 :
  
  | 301 | 7·43 |
  | - | - |
  | 302 | 2·151 |
  | 303 | 3·101 |
  | 304 | $2^4·19$ |
  | 305 | 5·61 |
  | 306 | $2·3^2·17$ |
  | 307 | 307 |
  | 308 | $2^2·7·11$ |
  | 309 | 3·103 |
  | 310 | 2·5·31 |
  | 311 | 311 |
  | 312 | $2^3·3·13$ |
  | 313 | 313 |
  | 314 | 2·157 |
  | 315 | $3^2·5·7$ |
  | 316 | $2^2·79$ |
  | 317 | 317 |
  | 318 | 2·3·53 |
  | 319 | 11·29 |
  | 320 | $2^6·5$ |
  
  321 − 340 :
  
  | 321 | 3·107 |
  | - | - |
  | 322 | 2·7·23 |
  | 323 | 17·19 |
  | 324 | $2^2·3^4$ |
  | 325 | $5^2·13$ |
  | 326 | 2·163 |
  | 327 | 3·109 |
  | 328 | $2^3·41$ |
  | 329 | 7·47 |
  | 330 | 2·3·5·11 |
  | 331 | 331 |
  | 332 | $2^2·83$ |
  | 333 | $3^2·37$ |
  | 334 | 2·167 |
  | 335 | 5·67 |
  | 336 | $2^4·3·7$ |
  | 337 | 337 |
  | 338 | $2·13^2$ |
  | 339 | 3·113 |
  | 340 | $2^2·5·17$ |
  
  341 − 360 :
  
  | 341 | 11·31 |
  | - | - |
  | 342 | $2·3^2·19$ |
  | 343 | $7^3$ |
  | 344 | $2^3·43$ |
  | 345 | 3·5·23 |
  | 346 | 2·173 |
  | 347 | 347 |
  | 348 | $2^2·3·29$ |
  | 349 | 349 |
  | 350 | $2·5^2·7$ |
  | 351 | $3^3·13$ |
  | 352 | $2^5·11$ |
  | 353 | 353 |
  | 354 | 2·3·59 |
  | 355 | 5·71 |
  | 356 | $2^2·89$ |
  | 357 | 3·7·17 |
  | 358 | 2·179 |
  | 359 | 359 |
  | 360 | $2^3·3^2·5$ |
  
  361 − 380 :
  
  | 361 | $19^2$ |
  | - | - |
  | 362 | 2·181 |
  | 363 | $3·11^2$ |
  | 364 | $2^2·7·13$ |
  | 365 | 5·73 |
  | 366 | 2·3·61 |
  | 367 | 367 |
  | 368 | $2^4·23$ |
  | 369 | $3^2·41$ |
  | 370 | 2·5·37 |
  | 371 | 7·53 |
  | 372 | $2^2·3·31$ |
  | 373 | 373 |
  | 374 | 2·11·17 |
  | 375 | $3·5^3$ |
  | 376 | $2^3·47$ |
  | 377 | 13·29 |
  | 378 | $2·3^3·7$ |
  | 379 | 379 |
  | 380 | $2^2·5·19$ |
  
  381 − 400 :
  
  | 381 | 3·127 |
  | - | - |
  | 382 | 2·191 |
  | 383 | 383 |
  | 384 | $2^7·3$ |
  | 385 | 5·7·11 |
  | 386 | 2·193 |
  | 387 | $3^2·43$ |
  | 388 | $2^2·97$ |
  | 389 | 389 |
  | 390 | 2·3·5·13 |
  | 391 | 17·23 |
  | 392 | $2^3·7^2$ |
  | 393 | 3·131 |
  | 394 | 2·197 |
  | 395 | 5·79 |
  | 396 | $2^2·3^2·11$ |
  | 397 | 397 |
  | 398 | 2·199 |
  | 399 | 3·7·19 |
  | 400 | $2^4·5^2$ |
  
  ## 401 to 500
  
  401 − 420 :
  
  | 401 | 401 |
  | - | - |
  | 402 | 2·3·67 |
  | 403 | 13·31 |
  | 404 | $2^2·101$ |
  | 405 | $3^4·5$ |
  | 406 | 2·7·29 |
  | 407 | 11·37 |
  | 408 | $2^3·3·17$ |
  | 409 | 409 |
  | 410 | 2·5·41 |
  | 411 | 3·137 |
  | 412 | $2^2·103$ |
  | 413 | 7·59 |
  | 414 | $2·3^2·23$ |
  | 415 | 5·83 |
  | 416 | $2^5·13$ |
  | 417 | 3·139 |
  | 418 | 2·11·19 |
  | 419 | 419 |
  | 420 | $2^2·3·5·7$ |
  
  421 − 440 :
  
  | 421 | 421 |
  | - | - |
  | 422 | 2·211 |
  | 423 | $3^2·47$ |
  | 424 | $2^3·53$ |
  | 425 | $5^2·17$ |
  | 426 | 2·3·71 |
  | 427 | 7·61 |
  | 428 | $2^2·107$ |
  | 429 | 3·11·13 |
  | 430 | 2·5·43 |
  | 431 | 431 |
  | 432 | $2^4·3^3$ |
  | 433 | 433 |
  | 434 | 2·7·31 |
  | 435 | 3·5·29 |
  | 436 | $2^2·109$ |
  | 437 | 19·23 |
  | 438 | 2·3·73 |
  | 439 | 439 |
  | 440 | $2^3·5·11$ |
  
  441 − 460 :
  
  | 441 | $3^2·7^2$ |
  | - | - |
  | 442 | 2·13·17 |
  | 443 | 443 |
  | 444 | $2^2·3·37$ |
  | 445 | 5·89 |
  | 446 | 2·223 |
  | 447 | 3·149 |
  | 448 | $2^6·7$ |
  | 449 | 449 |
  | 450 | $2·3^2·5^2$ |
  | 451 | 11·41 |
  | 452 | $2^2·113$ |
  | 453 | 3·151 |
  | 454 | 2·227 |
  | 455 | 5·7·13 |
  | 456 | $2^3·3·19$ |
  | 457 | 457 |
  | 458 | 2·229 |
  | 459 | $3^3·17$ |
  | 460 | $2^2·5·23$ |
  
  461 − 480 :
  
  | 461 | 461 |
  | - | - |
  | 462 | 2·3·7·11 |
  | 463 | 463 |
  | 464 | $2^4·29$ |
  | 465 | 3·5·31 |
  | 466 | 2·233 |
  | 467 | 467 |
  | 468 | $2^2·3^2·13$ |
  | 469 | 7·67 |
  | 470 | 2·5·47 |
  | 471 | 3·157 |
  | 472 | $2^3·59$ |
  | 473 | 11·43 |
  | 474 | 2·3·79 |
  | 475 | $5^2·19$ |
  | 476 | $2^2·7·17$ |
  | 477 | $3^2·53$ |
  | 478 | 2·239 |
  | 479 | 479 |
  | 480 | $2^5·3·5$ |
  
  481 − 500 :
  
  | 481 | 13·37 |
  | - | - |
  | 482 | 2·241 |
  | 483 | 3·7·23 |
  | 484 | $2^2·11^2$ |
  | 485 | 5·97 |
  | 486 | $2·3^5$ |
  | 487 | 487 |
  | 488 | $2^3·61$ |
  | 489 | 3·163 |
  | 490 | $2·5·7^2$ |
  | 491 | 491 |
  | 492 | $2^2·3·41$ |
  | 493 | 17·29 |
  | 494 | 2·13·19 |
  | 495 | $3^2·5·11$ |
  | 496 | $2^4·31$ |
  | 497 | 7·71 |
  | 498 | 2·3·83 |
  | 499 | 499 |
  | 500 | $2^2·5^3$ |
  
  ## 501 to 600
  
  501 − 520 :
  
  | 501 | 3·167 |
  | - | - |
  | 502 | 2·251 |
  | 503 | 503 |
  | 504 | $2^3·3^2·7$ |
  | 505 | 5·101 |
  | 506 | 2·11·23 |
  | 507 | $3·13^2$ |
  | 508 | $2^2·127$ |
  | 509 | 509 |
  | 510 | 2·3·5·17 |
  | 511 | 7·73 |
  | 512 | $2^9$ |
  | 513 | $3^3·19$ |
  | 514 | 2·257 |
  | 515 | 5·103 |
  | 516 | $2^2·3·43$ |
  | 517 | 11·47 |
  | 518 | 2·7·37 |
  | 519 | 3·173 |
  | 520 | $2^3·5·13$ |
  
  521 − 540 :
  
  | 521 | 521 |
  | - | - |
  | 522 | $2·3^2·29$ |
  | 523 | 523 |
  | 524 | $2^2·131$ |
  | 525 | $3·5^2·7$ |
  | 526 | 2·263 |
  | 527 | 17·31 |
  | 528 | $2^4·3·11$ |
  | 529 | $23^2$ |
  | 530 | 2·5·53 |
  | 531 | $3^2·59$ |
  | 532 | $2^2·7·19$ |
  | 533 | 13·41 |
  | 534 | 2·3·89 |
  | 535 | 5·107 |
  | 536 | $2^3·67$ |
  | 537 | 3·179 |
  | 538 | 2·269 |
  | 539 | $7^2·11$ |
  | 540 | $2^2·3^3·5$ |
  
  541 − 560 :
  
  | 541 | 541 |
  | - | - |
  | 542 | 2·271 |
  | 543 | 3·181 |
  | 544 | $2^5·17$ |
  | 545 | 5·109 |
  | 546 | 2·3·7·13 |
  | 547 | 547 |
  | 548 | $2^2·137$ |
  | 549 | $3^2·61$ |
  | 550 | $2·5^2·11$ |
  | 551 | 19·29 |
  | 552 | $2^3·3·23$ |
  | 553 | 7·79 |
  | 554 | 2·277 |
  | 555 | 3·5·37 |
  | 556 | $2^2·139$ |
  | 557 | 557 |
  | 558 | $2·3^2·31$ |
  | 559 | 13·43 |
  | 560 | $2^4·5·7$ |
  
  561 − 580 :
  
  | 561 | 3·11·17 |
  | - | - |
  | 562 | 2·281 |
  | 563 | 563 |
  | 564 | $2^2·3·47$ |
  | 565 | 5·113 |
  | 566 | 2·283 |
  | 567 | $3^4·7$ |
  | 568 | $2^3·71$ |
  | 569 | 569 |
  | 570 | 2·3·5·19 |
  | 571 | 571 |
  | 572 | $2^2·11·13$ |
  | 573 | 3·191 |
  | 574 | 2·7·41 |
  | 575 | $5^2·23$ |
  | 576 | $2^6·3^2$ |
  | 577 | 577 |
  | 578 | $2·17^2$ |
  | 579 | 3·193 |
  | 580 | $2^2·5·29$ |
  
  581 − 600 :
  
  | 581 | 7·83 |
  | - | - |
  | 582 | 2·3·97 |
  | 583 | 11·53 |
  | 584 | $2^3·73$ |
  | 585 | $3^2·5·13$ |
  | 586 | 2·293 |
  | 587 | 587 |
  | 588 | $2^2·3·7^2$ |
  | 589 | 19·31 |
  | 590 | 2·5·59 |
  | 591 | 3·197 |
  | 592 | $2^4·37$ |
  | 593 | 593 |
  | 594 | $2·3^3·11$ |
  | 595 | 5·7·17 |
  | 596 | $2^2·149$ |
  | 597 | 3·199 |
  | 598 | 2·13·23 |
  | 599 | 599 |
  | 600 | $2^3·3·5^2$ |
  
  ## 601 to 700
  
  601 − 620 :
  
  | 601 | 601 |
  | - | - |
  | 602 | 2·7·43 |
  | 603 | $3^2·67$ |
  | 604 | $2^2·151$ |
  | 605 | $5·11^2$ |
  | 606 | 2·3·101 |
  | 607 | 607 |
  | 608 | $2^5·19$ |
  | 609 | 3·7·29 |
  | 610 | 2·5·61 |
  | 611 | 13·47 |
  | 612 | $2^2·3^2·17$ |
  | 613 | 613 |
  | 614 | 2·307 |
  | 615 | 3·5·41 |
  | 616 | $2^3·7·11$ |
  | 617 | 617 |
  | 618 | 2·3·103 |
  | 619 | 619 |
  | 620 | $2^2·5·31$ |
  
  621 − 640 :
  
  | 621 | $3^3·23$ |
  | - | - |
  | 622 | 2·311 |
  | 623 | 7·89 |
  | 624 | $2^4·3·13$ |
  | 625 | $5^4$ |
  | 626 | 2·313 |
  | 627 | 3·11·19 |
  | 628 | $2^2·157$ |
  | 629 | 17·37 |
  | 630 | $2·3^2·5·7$ |
  | 631 | 631 |
  | 632 | $2^3·79$ |
  | 633 | 3·211 |
  | 634 | 2·317 |
  | 635 | 5·127 |
  | 636 | $2^2·3·53$ |
  | 637 | $7^2·13$ |
  | 638 | 2·11·29 |
  | 639 | $3^2·71$ |
  | 640 | $2^7·5$ |
  
  641 − 660 :
  
  | 641 | 641 |
  | - | - |
  | 642 | 2·3·107 |
  | 643 | 643 |
  | 644 | $2^2·7·23$ |
  | 645 | 3·5·43 |
  | 646 | 2·17·19 |
  | 647 | 647 |
  | 648 | $2^3·3^4$ |
  | 649 | 11·59 |
  | 650 | $2·5^2·13$ |
  | 651 | 3·7·31 |
  | 652 | $2^2·163$ |
  | 653 | 653 |
  | 654 | 2·3·109 |
  | 655 | 5·131 |
  | 656 | $2^4·41$ |
  | 657 | $3^2·73$ |
  | 658 | 2·7·47 |
  | 659 | 659 |
  | 660 | $2^2·3·5·11$ |
  
  661 − 680 :
  
  | 661 | 661 |
  | - | - |
  | 662 | 2·331 |
  | 663 | 3·13·17 |
  | 664 | $2^3·83$ |
  | 665 | 5·7·19 |
  | 666 | $2·3^2·37$ |
  | 667 | 23·29 |
  | 668 | $2^2·167$ |
  | 669 | 3·223 |
  | 670 | 2·5·67 |
  | 671 | 11·61 |
  | 672 | $2^5·3·7$ |
  | 673 | 673 |
  | 674 | 2·337 |
  | 675 | $3^3·5^2$ |
  | 676 | $2^2·13^2$ |
  | 677 | 677 |
  | 678 | 2·3·113 |
  | 679 | 7·97 |
  | 680 | $2^3·5·17$ |
  
  681 − 700 :
  
  | 681 | 3·227 |
  | - | - |
  | 682 | 2·11·31 |
  | 683 | 683 |
  | 684 | $2^2·3^2·19$ |
  | 685 | 5·137 |
  | 686 | $2·7^3$ |
  | 687 | 3·229 |
  | 688 | $2^4·43$ |
  | 689 | 13·53 |
  | 690 | 2·3·5·23 |
  | 691 | 691 |
  | 692 | $2^2·173$ |
  | 693 | $3^2·7·11$ |
  | 694 | 2·347 |
  | 695 | 5·139 |
  | 696 | $2^3·3·29$ |
  | 697 | 17·41 |
  | 698 | 2·349 |
  | 699 | 3·233 |
  | 700 | $2^2·5^2·7$ |
  
  ## 701 to 800
  
  701 − 720 :
  
  | 701 | 701 |
  | - | - |
  | 702 | $2·3^3·13$ |
  | 703 | 19·37 |
  | 704 | $2^6·11$ |
  | 705 | 3·5·47 |
  | 706 | 2·353 |
  | 707 | 7·101 |
  | 708 | $2^2·3·59$ |
  | 709 | 709 |
  | 710 | 2·5·71 |
  | 711 | $3^2·79$ |
  | 712 | $2^3·89$ |
  | 713 | 23·31 |
  | 714 | 2·3·7·17 |
  | 715 | 5·11·13 |
  | 716 | $2^2·179$ |
  | 717 | 3·239 |
  | 718 | 2·359 |
  | 719 | 719 |
  | 720 | $2^4·3^2·5$ |
  
  721 − 740 :
  
  | 721 | 7·103 |
  | - | - |
  | 722 | $2·19^2$ |
  | 723 | 3·241 |
  | 724 | $2^2·181$ |
  | 725 | $5^2·29$ |
  | 726 | $2·3·11^2$ |
  | 727 | 727 |
  | 728 | $2^3·7·13$ |
  | 729 | $3^6$ |
  | 730 | 2·5·73 |
  | 731 | 17·43 |
  | 732 | $2^2·3·61$ |
  | 733 | 733 |
  | 734 | 2·367 |
  | 735 | $3·5·7^2$ |
  | 736 | $2^5·23$ |
  | 737 | 11·67 |
  | 738 | $2·3^2·41$ |
  | 739 | 739 |
  | 740 | $2^2·5·37$ |
  
  741 − 760 :
  
  | 741 | 3·13·19 |
  | - | - |
  | 742 | 2·7·53 |
  | 743 | 743 |
  | 744 | $2^3·3·31$ |
  | 745 | 5·149 |
  | 746 | 2·373 |
  | 747 | $3^2·83$ |
  | 748 | $2^2·11·17$ |
  | 749 | 7·107 |
  | 750 | $2·3·5^3$ |
  | 751 | 751 |
  | 752 | $2^4·47$ |
  | 753 | 3·251 |
  | 754 | 2·13·29 |
  | 755 | 5·151 |
  | 756 | $2^2·3^3·7$ |
  | 757 | 757 |
  | 758 | 2·379 |
  | 759 | 3·11·23 |
  | 760 | $2^3·5·19$ |
  
  761 − 780 :
  
  | 761 | 761 |
  | - | - |
  | 762 | 2·3·127 |
  | 763 | 7·109 |
  | 764 | $2^2·191$ |
  | 765 | $3^2·5·17$ |
  | 766 | 2·383 |
  | 767 | 13·59 |
  | 768 | $2^8·3$ |
  | 769 | 769 |
  | 770 | 2·5·7·11 |
  | 771 | 3·257 |
  | 772 | $2^2·193$ |
  | 773 | 773 |
  | 774 | $2·3^2·43$ |
  | 775 | $5^2·31$ |
  | 776 | $2^3·97$ |
  | 777 | 3·7·37 |
  | 778 | 2·389 |
  | 779 | 19·41 |
  | 780 | $2^2·3·5·13$ |
  
  781 − 800 :
  
  | 781 | 11·71 |
  | - | - |
  | 782 | 2·17·23 |
  | 783 | $3^3·29$ |
  | 784 | $2^4·7^2$ |
  | 785 | 5·157 |
  | 786 | 2·3·131 |
  | 787 | 787 |
  | 788 | $2^2·197$ |
  | 789 | 3·263 |
  | 790 | 2·5·79 |
  | 791 | 7·113 |
  | 792 | $2^3·3^2·11$ |
  | 793 | 13·61 |
  | 794 | 2·397 |
  | 795 | 3·5·53 |
  | 796 | $2^2·199$ |
  | 797 | 797 |
  | 798 | 2·3·7·19 |
  | 799 | 17·47 |
  | 800 | $2^5·5^2$ |
  
  ## 801 to 900
  
  801 - 820 :
  
  | 801 | $3^2·89$ |
  | - | - |
  | 802 | 2·401 |
  | 803 | 11·73 |
  | 804 | $2^2·3·67$ |
  | 805 | 5·7·23 |
  | 806 | 2·13·31 |
  | 807 | 3·269 |
  | 808 | $2^3·101$ |
  | 809 | 809 |
  | 810 | $2·3^4·5$ |
  | 811 | 811 |
  | 812 | $2^2·7·29$ |
  | 813 | 3·271 |
  | 814 | 2·11·37 |
  | 815 | 5·163 |
  | 816 | $2^4·3·17$ |
  | 817 | 19·43 |
  | 818 | 2·409 |
  | 819 | $3^2·7·13$ |
  | 820 | $2^2·5·41$ |
  
  821 - 840 :
  
  | 821 | 821 |
  | - | - |
  | 822 | 2·3·137 |
  | 823 | 823 |
  | 824 | $2^3·103$ |
  | 825 | $3·5^2·11$ |
  | 826 | 2·7·59 |
  | 827 | 827 |
  | 828 | $2^2·3^2·23$ |
  | 829 | 829 |
  | 830 | 2·5·83 |
  | 831 | 3·277 |
  | 832 | $2^6·13$ |
  | 833 | $7^2·17$ |
  | 834 | 2·3·139 |
  | 835 | 5·167 |
  | 836 | $2^2·11·19$ |
  | 837 | $3^3·31$ |
  | 838 | 2·419 |
  | 839 | 839 |
  | 840 | $2^3·3·5·7$ |
  
  841 - 860 :
  
  | 841 | $29^2$ |
  | - | - |
  | 842 | 2·421 |
  | 843 | 3·281 |
  | 844 | $2^2·211$ |
  | 845 | $5·13^2$ |
  | 846 | $2·3^2·47$ |
  | 847 | $7·11^2$ |
  | 848 | $2^4·53$ |
  | 849 | 3·283 |
  | 850 | $2·5^2·17$ |
  | 851 | 23·37 |
  | 852 | $2^2·3·71$ |
  | 853 | 853 |
  | 854 | 2·7·61 |
  | 855 | $3^2·5·19$ |
  | 856 | $2^3·107$ |
  | 857 | 857 |
  | 858 | 2·3·11·13 |
  | 859 | 859 |
  | 860 | $2^2·5·43$ |
  
  861 - 880 :
  
  | 861 | 3·7·41 |
  | - | - |
  | 862 | 2·431 |
  | 863 | 863 |
  | 864 | $2^5·3^3$ |
  | 865 | 5·173 |
  | 866 | 2·433 |
  | 867 | $3·17^2$ |
  | 868 | $2^2·7·31$ |
  | 869 | 11·79 |
  | 870 | 2·3·5·29 |
  | 871 | 13·67 |
  | 872 | $2^3·109$ |
  | 873 | $3^2·97$ |
  | 874 | 2·19·23 |
  | 875 | $5^3·7$ |
  | 876 | $2^2·3·73$ |
  | 877 | 877 |
  | 878 | 2·439 |
  | 879 | 3·293 |
  | 880 | $2^4·5·11$ |
  
  881 - 900 :
  
  | 881 | 881 |
  | - | - |
  | 882 | $2·3^2·7^2$ |
  | 883 | 883 |
  | 884 | $2^2·13·17$ |
  | 885 | 3·5·59 |
  | 886 | 2·443 |
  | 887 | 887 |
  | 888 | $2^3·3·37$ |
  | 889 | 7·127 |
  | 890 | 2·5·89 |
  | 891 | $3^4·11$ |
  | 892 | $2^2·223$ |
  | 893 | 19·47 |
  | 894 | 2·3·149 |
  | 895 | 5·179 |
  | 896 | $2^7·7$ |
  | 897 | 3·13·23 |
  | 898 | 2·449 |
  | 899 | 29·31 |
  | 900 | $2^2·3^2·5^2$ |
  
  ## 901 to 1000
  
  901 - 920 :
  
  | 901 | 17·53 |
  | - | - |
  | 902 | 2·11·41 |
  | 903 | 3·7·43 |
  | 904 | $2^3·113$ |
  | 905 | 5·181 |
  | 906 | 2·3·151 |
  | 907 | 907 |
  | 908 | $2^2·227$ |
  | 909 | $3^2·101$ |
  | 910 | 2·5·7·13 |
  | 911 | 911 |
  | 912 | $2^4·3·19$ |
  | 913 | 11·83 |
  | 914 | 2·457 |
  | 915 | 3·5·61 |
  | 916 | $2^2·229$ |
  | 917 | 7·131 |
  | 918 | $2·3^3·17$ |
  | 919 | 919 |
  | 920 | $2^3·5·23$ |
  
  921 - 940 :
  
  | 921 | 3·307 |
  | - | - |
  | 922 | 2·461 |
  | 923 | 13·71 |
  | 924 | $2^2·3·7·11$ |
  | 925 | $5^2·37$ |
  | 926 | 2·463 |
  | 927 | $3^2·103$ |
  | 928 | $2^5·29$ |
  | 929 | 929 |
  | 930 | 2·3·5·31 |
  | 931 | $7^2·19$ |
  | 932 | $2^2·233$ |
  | 933 | 3·311 |
  | 934 | 2·467 |
  | 935 | 5·11·17 |
  | 936 | $2^3·3^2·13$ |
  | 937 | 937 |
  | 938 | 2·7·67 |
  | 939 | 3·313 |
  | 940 | $2^2·5·47$ |
  
  941 - 960 :
  
  | 941 | 941 |
  | - | - |
  | 942 | 2·3·157 |
  | 943 | 23·41 |
  | 944 | $2^4·59$ |
  | 945 | $3^3·5·7$ |
  | 946 | 2·11·43 |
  | 947 | 947 |
  | 948 | $2^2·3·79$ |
  | 949 | 13·73 |
  | 950 | $2·5^2·19$ |
  | 951 | 3·317 |
  | 952 | $2^3·7·17$ |
  | 953 | 953 |
  | 954 | $2·3^2·53$ |
  | 955 | 5·191 |
  | 956 | $2^2·239$ |
  | 957 | 3·11·29 |
  | 958 | 2·479 |
  | 959 | 7·137 |
  | 960 | $2^6·3·5$ |
  
  961 - 980 :
  
  | 961 | $31^2$ |
  | - | - |
  | 962 | 2·13·37 |
  | 963 | $3^2·107$ |
  | 964 | $2^2·241$ |
  | 965 | 5·193 |
  | 966 | 2·3·7·23 |
  | 967 | 967 |
  | 968 | $2^3·11^2$ |
  | 969 | 3·17·19 |
  | 970 | 2·5·97 |
  | 971 | 971 |
  | 972 | $2^2·3^5$ |
  | 973 | 7·139 |
  | 974 | 2·487 |
  | 975 | $3·5^2·13$ |
  | 976 | $2^4·61$ |
  | 977 | 977 |
  | 978 | 2·3·163 |
  | 979 | 11·89 |
  | 980 | $2^2·5·7^2$ |
  
  981 - 1000 :
  
  | 981 | $3^2·109$ |
  | - | - |
  | 982 | 2·491 |
  | 983 | 983 |
  | 984 | $2^3·3·41$ |
  | 985 | 5·197 |
  | 986 | 2·17·29 |
  | 987 | 3·7·47 |
  | 988 | $2^2·13·19$ |
  | 989 | 23·43 |
  | 990 | $2·3^2·5·11$ |
  | 991 | 991 |
  | 992 | $2^5·31$ |
  | 993 | 3·331 |
  | 994 | 2·7·71 |
  | 995 | 5·199 |
  | 996 | $2^2·3·83$ |
  | 997 | 997 |
  | 998 | 2·499 |
  | 999 | $3^3·37$ |
  | 1000 | $2^3·5^3$ |
  