Divides, Multiple Of, Is Divisible By

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Definition (Divides, Multiple Of, Is Divisible By)

Let $a$ and $b$ be two integers. We say that $b$ divides $a$ and write $b|a$ if and only if there exists $c\in\mathbb{Z}$ such that $a=bc$. Rather than saying $b$ divides $a$, we will also say $a$ is multiple of $b$ or $a$ is divisible by $b$.