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Multiple (mathematics) : ウィキペディア英語版
Multiple (mathematics)

In mathematics, a multiple is the product of any quantity and an integer.〔(WordNet lexicon database, Princeton University )〕〔(WordReference.com )〕 In other words, for the quantities ''a'' and ''b'', we say that ''b'' is a multiple of ''a'' if ''b'' = ''na'' for some integer ''n'', which is called the multiplier or coefficient. If ''a'' is not zero, this is equivalent to saying that ''b''/''a'' is an integer with no remainder.〔(The Free Dictionary by Farlex )〕〔(Dictionary.com Unabridged )〕〔(Cambridge Dictionary Online )〕 If ''a'' and ''b'' are both integers, and ''b'' is a multiple of ''a'', then ''a'' is called a divisor of ''b''.
==Examples==
14, 49, -21 and 0 are multiples of 7, whereas 3 and -6 are not. This is because there are integers that 7 may be multiplied by to reach the values of 14, 49, 0 and -21, while there are no such ''integers'' for 3 and -6. Each of the products listed below, and in particular, the products for 3 and -6, is the ''only'' way that the relevant number can be written as a product of 7 and another real number:
* 14 = 7 \times 2
* 49 = 7 \times 7
* -21 = 7 \times (-3)
* 0 = 7 \times 0
* 3 = 7 \times (3/7), 3/7 is a rational number, not an integer
* -6 = 7 \times (-6/7), -6/7 is a rational number, not an integer.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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