Divisibility of n^2(n^2-1)
Source:
February 15, 2009
modular arithmeticnumber theoryleast common multiple
Problem Statement
If is any whole number, n^2(n^2 \minus{} 1) is always divisible by
(A)\ 12 \qquad(B)\ 24 \qquad(C)\ \text{any multiple of }12 \qquad(D)\ 12 \minus{} n \qquad(E)\ 12\text{ and }24