factor
/fak"teuhr/, n.
1. one of the elements contributing to a particular result or situation: Poverty is only one of the factors in crime.
2. Math. one of two or more numbers, algebraic expressions, or the like, that when multiplied together produce a given product; a divisor: 6 and 3 are factors of 18.
3. Biochem. any of certain substances necessary to a biochemical or physiological process, esp. those whose exact nature and function are unknown.
4. a business organization that lends money on accounts receivable or buys and collects accounts receivable.
5. a person who acts or transacts business for another; an agent.
6. an agent entrusted with the possession of goods to be sold in the agent's name; a merchant earning a commission by selling goods belonging to others.
7. a person or business organization that provides money for another's new business venture; one who finances another's business.
9. Scot. the steward or bailiff of an estate.
v.t.
10. Math. to express (a mathematical quantity) as a product of two or more quantities of like kind, as 30 = 235, or x2 - y2 = (x + y) (x - y). Cf. expand (def. 4a).
11. to act as a factor for.
v.i.
12. to act as a factor.
13. factor in or into, to include as an essential element, esp. in forecasting or planning: You must factor insurance payments into the cost of maintaining a car.
[1400-50; late ME facto(u)r < L factor maker, perpetrator, equiv. to fac(ere) to make, do + -tor -TOR]

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In multiplication, one of two or more numerical or algebraic components of a product.

A whole number's factors are the whole numbers that divide evenly into it (e.g., 1, 2, 3, 4, 6, and 12 are factors of 12). To factor a counting number means to break it down into its prime number factors. To factor a polynomial is to find its prime polynomial factors, a basic procedure for solving algebraic equations. According to the fundamental theorem of arithmetic, the prime factorization of any number or polynomial is unique.

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in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12. A positive integer greater than 1, or an algebraic expression, that has only two factors (i.e., itself and 1) is termed prime; a positive integer or an algebraic expression that has more than two factors is termed composite. The prime factors of a number or an algebraic expression are those factors which are prime. By the fundamental theorem of arithmetic, except for the order in which the prime factors are written, every whole number larger than 1 can be uniquely expressed as the product of its prime factors; for example, 60 can be written as the product 2·2·3·5.

Methods for factoring large whole numbers are of great importance in public-key cryptography, and on such methods rests the security (or lack thereof) of data transmitted over the Internet. Factoring is also a particularly important step in the solution of many algebraic problems. For example, the polynomial equation x2 − x − 2 = 0 can be factored as (x − 2)(x + 1) = 0. Since in an integral domain a·b = 0 implies that either a = 0 or b = 0, the simpler equations x − 2 = 0 and x + 1 = 0 can be solved to yield the two solutions x = 2 and x = −1 of the original equation.

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Universalium. 2010.

Synonyms:

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• factor — FÁCTOR, factori, s.m. I. 1. Element, condiţie, împrejurare care determină apariţia unui proces, a unei acţiuni, a unui fenomen. 2. (mat.) Fiecare dintre termenii unei înmulţiri. ♢ Factor prim = fiecare dintre numerele prime prin care se împarte… …   Dicționar Român

• Factor — Paradigmen: multiparadigmatisch Erscheinungsjahr: 2003 Designer: Slava Pestov Aktuelle Version: 0.94  (September 2010) …   Deutsch Wikipedia

• factor — aside from its technical senses, means ‘a fact or circumstance that contributes to a result’, and the notion of cause lies at the heart of its use, as in Gladstone s sentence (1878) The first factor in the making of a nation is its religion. A… …   Modern English usage

• factor — fac·tor n [Medieval Latin, doer, maker, agent, from Latin, maker, from facere to do, make] 1: one who acts or transacts business for another: as a: a commercial agent who buys or sells goods for others on commission b: one that lends money to… …   Law dictionary

• Factor — Saltar a navegación, búsqueda Un factor puede hacer referencia a: Factorización; operación matemática. Factorización de enteros Factor (lenguaje de programación) Factor X; grupo de superhéroes mutantes de Marvel Comics. Factor X (programa de… …   Wikipedia Español

• FACTOR — may also refer to the Object Oriented programming requirements caputre acronym Functionality, Application domain, Conditions, Technology, Objects and Responsibility; FACTOR (the Foundation to Assist Canadian Talent on Records) is a private non… …   Wikipedia

• Factor — Fac tor, n. [L. factor a doer: cf. F. facteur a factor. See {Fact}.] 1. (Law) One who transacts business for another; an agent; a substitute; especially, a mercantile agent who buys and sells goods and transacts business for others in commission; …   The Collaborative International Dictionary of English

• factor — [fak′tər] n. [ME factour < OFr facteur < L factor, doer, maker < pp. of facere, DO1] 1. a) a person who carries on business transactions for another; commission merchant; agent for the sale of goods entrusted to his possession b) an… …   English World dictionary

• Factōr — (eigentlich Fāctor, lat.), 1) der etwas macht, besorgt; daher 2) (Hdlgsw.), so v.w. Disponent; od. 3) Vorsteher eines Geschäfts, einer Fabrik od. einer mechanischen Werkstätte; so Aufseher von Eisenhütten, Farbenwerken, einer Buchdruckerei,… …   Pierer's Universal-Lexikon

• factor — m. fisiol. Elemento o sustancia que interviene en la activación o durante el desarrollo de una reacción. Medical Dictionary. 2011. factor …   Diccionario médico

• factor — ● factor nom masculin (anglais factor, agent) Intermédiaire privé qui intervient dans les opérations d affacturage. factor [faktɔʀ] n. m. ÉTYM. Mil. XXe; mot angl. « agent commissionnaire », du franç. facteur. ❖ ♦ Anglic. Comm. Intermédiaire qui… …   Encyclopédie Universelle