For any positive integer n, n>1, thelengthof n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 50 is 4, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000.
Choose the correct choice from the following answers: A) 10 B) 9 C) 8 D) 7 E) 6
you are missing something in your post:   For any positive integer n , n &gt; 1, thelengthof n is the number of positive primes (not distinct) whose product is n. For example, the length of 50 is 3 since 50 = (2)(5)(5)   the lenght of 1000 = (2)(5)(2)(5)(2)(5) = 6   but we need n &lt; 1000   using 2 as the base = (2)(2)(2)(2)(2)(2)(2)(2)(2) = 98 the length of 512.   the answer is 8
<result>C</result>
For any positive integer n, n>1, thelengthof n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 50 is 4, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000.