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# Factors and multiples

A number is a multiple of another number if it is the product of this number with an integer.

An integer is a divisor of a number if the ratio of the number with the integer is an integer. It is also called a factor.

$\Tblue{6}$ is a multiple of $\Tred{2}$, $\Tred{2}$ is a divisor of $\Tblue{6}$, since $\displaystyle\frac{\Tblue{6}}{\Tred{2}} = 3$ is an integer.

To rephrase, take two integers $\Tblue{m}$ and $\Tred{d}$. $\Tblue{m}$ is a multiple of $\Tred{d}$ and $\Tred{d}$ is a divisor of $\Tblue{m}$ if the ratio $\displaystyle \frac{\Tblue{m}}{\Tred{d}}$ is an integer.

$\Tred{4}$ is a factor of $\Tblue{12}$, because $\displaystyle\frac{12}{\Tred{4}} = 3$ is an integer

$\Tred{8}$ is not a factor of $\Tblue{12}$ because $\displaystyle\frac{12}{\Tred{8}} = 1.5$ is not an integer.

60 has many factors. An hour can be divided into 12 times five minutes.