SOLUTION: Let Dn denote the set of natural numbers that divide n exactly. For example, D60 = {1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60}. Write down the sets D84 and D60 ∪ D84. Find t

Algebra ->  Proofs -> SOLUTION: Let Dn denote the set of natural numbers that divide n exactly. For example, D60 = {1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60}. Write down the sets D84 and D60 ∪ D84. Find t      Log On


   

Question 1016954: Let Dn denote the set of natural numbers that divide n exactly. For example,
D60 = {1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60}.
Write down the sets D84 and D60 ∪ D84. Find the number m such that Dm = D60 ∪ D84. Is it true that for any natural numbers r and s there is a natural number m such that Dm = Dr ∪ Ds?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!

(should be {...} but this site doesn't recognize \{...\} for brackets)

I don't know if you typed your question correctly or incorrectly, but there is no positive integer m such that . The reason is because and m is necessarily the largest number in , but m cannot equal 84.