Question: For each nonzero natural number n, let D(n) be the multiset of prime divisors of n. Let m,n > 1. How is D(mn) related to

For each nonzero natural number n, let D(n) be the multiset of prime divisors of n.

Let m,n > 1. How is D(mn) related to D(m) and D(n)? Explain in a few sentences.

Let m,n > 1. Assume that m is a multiple of n How is D(m|n) related to D(m) and D(n)? Explain in a few sentences.

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