Question

Let $a \in \mathbf{Z}$. Prove that if $6 \mid a$ and $10 \mid a$, then $15 \mid a$.

   Let $a \in \mathbf{Z}$. Prove that if $6 \mid a$ and $10 \mid a$, then $15 \mid a$.

Mathematical Proofs: A Transition to Advanced Mathematics

Mathematical Proofs: A Transition to Advanced Mathematics

Gary Chartrand,… 3rd Edition

Chapter 4, Problem 92

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Step 1

Step 1: Since $6 \mid a$ and $10 \mid a$, we can write $a = 6m = 10n$ for some integers $m$ and $n$. Show more…

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Let $a \in \mathbf{Z}$. Prove that if $6 \mid a$ and $10 \mid a$, then $15 \mid a$.

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