n^3, n^4, divisibility

Nov 2012
1
0
Murcia
hello. I would like to ask for help.. :D
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
Mar 2011
3,546
1,566
Tejas
hint: what happens if some fourth power of a prime divides d?