**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

the correct option is C

But I am not convinced

if we take n=12 the 12x12x12 is divisible by 24 [the first part of the question]

12 is the largest factor 12 [ n=12 in this example ]

that means E can also be the answer right?