Divides

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Definition: Divides
If [math]a [/math] and [math]b [/math] are integers, we say that [math]a [/math] divides [math]b [/math] (written "[math]a \href{/cs2800/wiki/index.php/%5Cmid}{\mid} b [/math]") if there exists an integer [math]c \href{/cs2800/wiki/index.php/%E2%88%88}{∈} \href{/cs2800/wiki/index.php/%E2%84%A4}{ℤ} [/math] satisfying [math]ac = b [/math].

If [math]a \href{/cs2800/wiki/index.php/%5Cmid}{\mid} b [/math] we also say that [math]a [/math] is a divisor (or factor) of [math]b [/math].