Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.3 - Page 178: 26

Answer

True.

Work Step by Step

True. Since $ab|c$, let $c=kab$ (where $k$ is an integer), we have $c=(kb)a$ and $c=(ka)b$. We can see that $kb$ and $ka$ are also integers, thus $a|c$ and $b|c$.
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