Prove that $n(n^2 – 1)(n + 2)$ is divisible by $4$ for any integer $n$
I can not understand how to prove it. Please help me.
[Math] Prove that $n(n^2 – 1)(n + 2)$ is divisible by $4$ for any integer $n$
divisibilityelementary-number-theory
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Best Answer
HINT :
$(n-1)n(n+1)(n+2)$
is "consective numbers".