The sum of your 4 prime factors is 17 what are you?

Answer 1

The prime factors must be less than 17 since four of them sum to 17. The possibilities are 2, 3, 5, 7, 11, and 13. Because there are four prime factors, since four odd numbers would add up to an even number, one of the prime factors must be even. The only even prime factor is 2, so it must be one of the prime factors.

Now, we need the remaining three prime factors that must sum to 17 - 2 = 15. If the prime factors are different, the only three that add to 15 are 3, 5, and 7. So, the four prime factors would be 2, 3, 5, and 7, which means the number is 2 x 3 x 5 x 7 = 210.

If the prime factors do not need to be different, we have more possibilities:

2, 5, 5, and 5: 250

2, 2, 2, and 11: 88