MathDB

34

Part of 1956 AMC 12/AHSME

Problems(1)

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

Source:

2/15/2009
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
modular arithmeticnumber theoryleast common multiple