What is the largest prime factor of 999?
To find the largest prime factor of 999, I need to factor it into prime factors first. I know that 999 is divisible by 3, because the sum of its digits is 27, which is a multiple of 3. To find the other factor, I can divide 999 by 3, which gives me 333. But 333 is not a prime factor, because it is also divisible by 3. To find the other factor, I can divide 333 by 3, which gives me 111. But 111 is not a prime factor, because it is also divisible by 3. To find the other factor, I can divide 111 by 3, which gives me 37. Now I have 999 = 3 * 3 * 3 * 37. I can check that 37 is a prime number, because it has no factors other than 1 and itself. So the prime factorization of 999 is 3^3 * 37. Therefore, the largest prime factor of 999 is 37. 