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factored

/ˈfæktərd/ verb · British & US
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What does factored mean?

"Factored" is the past tense and past participle of the verb "factor," and it carries three related meanings. Its most common use today appears in the phrases "factored in" and "factored into," meaning that a particular element was deliberately included as part of a calculation, plan, or decision — for example, a company may have factored rising fuel costs into its budget. In mathematics, to be factored means to be broken down into a product of simpler components, as when a number or algebraic expression is expressed as a multiplication of its factors; this sense underpins everything from elementary arithmetic to modern cryptography. A third, more specialized commercial sense refers to selling accounts receivable to a third party, known as a factor. The word derives from Latin "factor," meaning "maker" or "doer." Practical, analytical, and precise in tone, "factored" signals careful, systematic thinking rather than guesswork.

verb

Past tense and past participle of the verb "factor" — to resolve a number into its factors, or (with "in" or "into") to include a particular element as a consideration when planning or calculating something. In commercial usage, it can also mean having sold receivables to a factoring company.

Senses
  1. To include or allow for something as a relevant element when calculating, planning, or making a decision (usually with "in" or "into").
  2. Mathematics: to resolve a quantity into a product of factors.
  3. Commerce: to sell accounts receivable to a factor (a firm that buys debts) at a discount.
Example

"She factored in the cost of shipping before setting her prices."

More examples

"The engineers factored seasonal demand into their production schedule."

"The polynomial was easily factored into two linear terms."

Did you know?

Every secure online transaction you make depends on numbers that are deliberately hard to factor — the math of "factored" quietly guards the internet.

Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.

Etymology of factored

"Factored" traces back through the verb "factor" to the Latin noun "factor," meaning "a maker, doer, or agent," formed from the past participle stem of "facere," "to do or make." The same Latin root gives English words such as "factory," "fiction"-related "factitious," and "benefactor." English adopted "factor" first in the commercial sense of an agent who transacts business for others, and later extended it to mathematics and to the figurative idea of an element shaping an outcome — from which the verb, and thus "factored," developed by regular derivation.

Related word forms

How factored is actually used

"Factored" almost always appears with the particles "in," "into," or "out" when it refers to considering an element, and this business/planning sense dominates modern usage. The bare mathematical sense typically appears in passive constructions ("was factored"). The commercial receivables sense is now relatively rare outside finance.

Easily confused with factored

fractured

"Fractured" means broken or cracked, while "factored" means resolved into components or taken into account in a calculation.

What's another word for factored?

Words and phrases paired with factored

factored infactored intofactored outfully factored

What's the opposite of factored?

Rhymes with factored