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!