Factor

Definition

Factor refers to an element, circumstance, or influence that contributes to a result or outcome. In mathematics, it represents a number or algebraic expression that divides another number or expression evenly.

Parts of Speech

• Noun
• Verb

Pronunciation

American English

• IPA Pronunciation: /ˈfæktər/
• Respelling: FAK-ter

British English

• IPA Pronunciation: /ˈfæktə/
• Respelling: FAK-tuh

Etymology

The word "factor" originates from the Latin term "factor," meaning "doer" or "maker," derived from "facere," meaning "to do" or "to make." The term entered Middle English in the 15th century, retaining its sense of an agent or contributor.

Derivatives

• Factorial (noun/adjective)
• Factoring (noun/verb form)
• Factorable (adjective)
• Factorship (noun)
• Factorize (verb)

Synonyms

• Element
• Component
• Contributor

Antonyms

• Whole
• Aggregate
• None

Usage

The noun "factor" is widely used in various contexts, such as "One important factor in the decision was cost." As a verb, "factor" means to include or consider as a component, such as "You must factor in inflation when calculating expenses."

Related Terms

• Variable: A quantity that can change or be changed.
• Multiplier: A number by which another is multiplied.
• Element: A basic part or aspect of something complex.

Detailed Definitions

Noun

• An element or condition that contributes to a result: Refers to a circumstance or aspect that influences outcomes.
  • Example: "Weather was a significant factor in the delay."
• A number or expression in mathematics that divides another number or expression evenly: Used in arithmetic and algebra to denote divisors.
  • Example: "The prime factors of 12 are 2 and 3."
• An agent or business representative: Refers to a person who acts on behalf of another, especially in commerce.
  • Example: "The company's factor negotiated the deal."

Verb

• To include as a component in calculations or considerations: Refers to the act of taking an element into account.
  • Example: "We must factor the rising costs into our budget."
• To resolve into factors in mathematics: Describes breaking down a number or expression into its divisors.
  • Example: "The equation was factored to simplify it."