# factor

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## factor

**factor,**in arithmetic, any number that divides a given number evenly, i.e., without any remainder. The factors of 12 are 1, 2, 3, 4, 6, and 12. Similarly in algebra, any one of the algebraic expressions multiplied by another to form a product is a factor of that product, e.g.,

*a*+

*b*and

*a*−

*b*are factors of

*a*

^{2}−

*b*

^{2}, since (

*a*+

*b*)(

*a*−

*b*)=

*a*

^{2}−

*b*

^{2}. In general, if

*r*is a root of a polynomial equation

*f*(

*x*)=0, then (

*x*−

*r*) is a factor of the polynomial

*f*(

*x*).

The Columbia Electronic Encyclopedia™ Copyright © 2022, Columbia University Press. Licensed from Columbia University Press. All rights reserved.

## factor

[′fak·tər] (mathematics)

For an integer

*n,*any integer which gives*n*when multiplied by another integer.For a polynomial

*p*, any polynomial which gives*p*when multiplied by another polynomial.For a graph

*G*, a spanning subgraph of*G*with at least one edge. (statistics)

A quantity or a variable being studied in an experiment as a possible cause of variation.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## factor

**1.**

*Maths*

**a.**one of two or more integers or polynomials whose product is a given integer or polynomial

**b.**an integer or polynomial that can be exactly divided into another integer or polynomial

**2.**

*Med*any of several substances that participate in the clotting of blood

**3.**

*Law, Commerce*a person who acts on another's behalf, esp one who transacts business for another

**4.**former name for a gene

**5.**

*Commercial law*a person to whom goods are consigned for sale and who is paid a factorage

**6.**(in Scotland) the manager of an estate

Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## factor

This article is provided by FOLDOC - Free Online Dictionary of Computing (

**foldoc.org**)## factor

A number that divides evenly into another number. For example, 3 and 4 are factors of 12. See factorial and IFP.Copyright © 1981-2019 by

**The Computer Language Company Inc**. All Rights reserved. THIS DEFINITION IS FOR PERSONAL USE ONLY. All other reproduction is strictly prohibited without permission from the publisher.Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

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