Difference between revisions of "Multiple"

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*[[Least common multiple]]
 
*[[Least common multiple]]
  
[[Category:Number Theory]]
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[[Category:Number theory]]

Revision as of 19:32, 4 September 2008

A multiple of a given integer is the product of that integer with some other integer. Thus $k$ is a multiple of $m$ only if $k$ can be written in the form $mn$, where $m$ and $n$ are integers. (In this case, $k$ is a multiple of $n$, as well).

Every nonzero integer has an infinite number of multiples. As an example, some of the multiples of 15 are 15, 30, 45, 60, and 75.

An equivalent phrasing is that $k$ is a multiple of $m$ exactly when $k$ is divisble by $m$.

See also