Concrete Examples before Abstract Ideas

• Compare

  • I will now prove that if m|a and n|a and gcd(m,n) = 1, then mn|a.

• To

  • Suppose 3|a and 5|a. Does 15|a?
  • Suppose 6|a and 9|a. Does 54|a?
  • Under what circumstances does m|a and n|a imply that mn|a?

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