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

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For each nonzero natural number n, let D(n) be the multiset of prime divisors of n. • Let m,n > 1. How is D(mxn) 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(min) related to D(m) and D(n)? Explain in a few sentences. For each nonzero natural number n, let D(n) be the multiset of prime divisors of n. • Let m,n > 1. How is D(mxn) 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(min) related to D(m) and D(n)? Explain in a few sentences.

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1 First of all note that here multiset and set are one and the same Case 1 If mn1 then then Dn ... View the full answer