MathDB
Divisibility of n^2(n^2-1)

Source:

February 15, 2009
modular arithmeticnumber theoryleast common multiple

Problem Statement

If n n 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