Notation: is a factor of

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How can one write $x$ is a factor of $y$ (as a constraint)? I am also not sure what else to add to meet the question quality requirements.

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$x$ is a factor of $y$ is the same thing as $y$ is a multiple of $x$. You can write

$$y=kx \ \text{ for some integer $k$}$$

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Well $|$ is used to describe divisibility so I think it meets our requirements.

For example, $3|6$.

$x$ is a factor of $y$ $\Leftrightarrow$ $x|y$.