factorial.
The result of multiplying a given number of consecutive integers from 1 to the given number. In equations, it is symbolized by an exclamation mark (!). For example, 5! = 1 × 2 × 3 × 4 × 5 = 120.
Meaning & usage
The result of multiplying a given number of consecutive integers from 1 to the given number. In equations, it is symbolized by an exclamation mark (!). For example, 5! = 1 × 2 × 3 × 4 × 5 = 120.
Where this word comes from
Etymology tree Proto-Indo-European *dʰeh₁- Proto-Indo-European *dʰeh₁k- Proto-Indo-European *-yéti Proto-Indo-European *dʰh₁kyéti Proto-Italic *θakjō Proto-Italic *fakjō Latin faciō Proto-Indo-European *-tōr Proto-Italic *-tōr Latin -tor Latin factorbor. Middle French facteurbor. ▲ Latin factorbor. Anglo-Norman factourbor. Middle English factour English factor Proto-Indo-European *h₂el- Proto-Indo-European *-is Proto-Indo-European *h₂élisder.? Proto-Italic *-ālis Latin -ālisder. Old French -ialder. Middle English -ial English -ial English factorial From factor + -ial.
Of or pertaining to a factor or factorial.
Of or pertaining to a factor, a kind of business agent.
Of or pertaining to a factory.
Where this word comes from
Etymology tree Proto-Indo-European *dʰeh₁- Proto-Indo-European *dʰeh₁k- Proto-Indo-European *-yéti Proto-Indo-European *dʰh₁kyéti Proto-Italic *θakjō Proto-Italic *fakjō Latin faciō Proto-Indo-European *-tōr Proto-Italic *-tōr Latin -tor Latin factorbor. Middle French facteurbor. ▲ Latin factorbor. Anglo-Norman factourbor. Middle English factour English factor Proto-Indo-European *h₂el- Proto-Indo-European *-is Proto-Indo-European *h₂élisder.? Proto-Italic *-ālis Latin -ālisder. Old French -ialder. Middle English -ial English -ial English factorial From factor + -ial.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.