Can someone answer this with explanation?

This question is from ManhattanGMAT, they provided an answer and explanation which I don't understand. X is divisible by 144. If X^1/3 is an integer, then which of the following is X^1/3 definitely divisible by? (choose all that apply) a) 4 b) 8 c) 9 d) 12 Note : X^1/3 is the cubic root of X. Thanks...