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 177: 1


Yes, $52$ is divisible by $13$, because $13\times4=52$, and $4$ is an integer.

Work Step by Step

The statement that $52$ is divisible by $13$ is written symbolically as $13|52$. By definition, for two integers $a$ and $b$ where $a\ne0$, $a|b$ if and only if $b=ka$ for some integer $k$. Here, $a=13$, $b=52$, and $k=4$.
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