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Multiple

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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

Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's Intermediate Counting & Probability by David Patrick.
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