Divisor (of an integer or of a polynomial)

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of an integer

An integer which divides the number without remainder. In other words, a divisor of the integer is an integer such that, for a certain integer , the equality holds. A divisor of a polynomial is a polynomial that divides without remainder (cf. Division). More generally, in an arbitrary ring a divisor of an element is an element such that for a certain .

How to Cite This Entry:
Divisor (of an integer or of a polynomial). Encyclopedia of Mathematics. URL:
This article was adapted from an original article by S.A. Stepanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article