If n is an integer and n^3 is divisible by 24, what is the largest number that must be a factor of n?

(A) 1

(B) 2

(C) 6

(D) 8

(E) 12

Since they wanted the largest number that must be a factor of n, they haven’t mentioned that n should be the minimum or least number. n could be 6 or 12. and answer is 6. but 12 also follows the conditions.

**12^3=1728 and that is divisible by 24** **So,12 could the largest factor?!**

My question is why is it 6, since they haven’t mentioned n should be min or max !

Thank you!