# n^3, n^4, divisibility

#### capdevillafan1

hello. I would like to ask for help..
How do I handle this exercise?

Specify the all positive integers $$\displaystyle d$$, for which it is true to say: For any positive integer $$\displaystyle n$$, if $$\displaystyle n^{4}$$ is divisible by $$\displaystyle d$$, then the number $$\displaystyle n^{3}$$ is divisible by $$\displaystyle d$$.

#### Deveno

MHF Hall of Honor
hint: what happens if some fourth power of a prime divides d?