# Divisor (of an integer or of a polynomial)

From Encyclopedia of Mathematics

*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 .

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Divisor (of an integer or of a polynomial).

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Divisor_(of_an_integer_or_of_a_polynomial)&oldid=16756

This article was adapted from an original article by S.A. Stepanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article