Suppose n ∈ ℤ. Let p1 , p2, …, pk be k different primes. Prove that...

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Question

Suppose n ∈ ℤ. Let p1 , p2, …, pk be k different primes. Prove that n^2 is divisible by p1 p2 … pk if and only if n is divisible by p1, p2, … pk

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