Factoring

Part of speech: verb

Definitions

1. The process of breaking down numbers or expressions into their constituent elements for easier handling in calculations
2. The method of identifying common elements in numbers or algebraic expressions to facilitate simplification or manipulation
3. The practice of decomposing quantities or variables into simpler, manageable parts to enhance the ease of computation and analysis

Etymology: The English noun "factor" entered the language in the Middle English period as "factour," borrowed through Anglo-Norman and Middle French from Latin "factor," meaning a doer, maker or performer. That Latin noun comes from "factus," the past participle of "faciō," "to do or make," so the word's core idea is simply one who gets things done. A factor was once an agent or steward who transacted business on another's behalf, and the sense of a multiplying element in mathematics came later, when "factor" was applied to the numbers that, combined, produce a product. Mathematical factoring, then, is the act of breaking a number or expression into those multiplying parts. The word's journey from a person who manages affairs to a procedure for splitting 12 into 3 and 4 is a useful reminder that much of mathematical vocabulary was borrowed from everyday commerce and language.

Synonyms: calculating, analyzing