Standard Lemma guide

factorial

adj · noun · 6 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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  • /fækˈtɔːɹi.əl/
  • Southern-England: Recorded audio is listed in the source snapshot.
  • rhymes with -ɔːɹiəl

1

adj

Meaning 1

Of or pertaining to a factor or factorial.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

adj

Meaning 2

Of or pertaining to a factor, a kind of business agent.

Definition source: English Wiktionary via Wiktextract

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

adj

Meaning 3

Of or pertaining to a factory.

Definition source: English Wiktionary via Wiktextract

Usage: dated

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

4

noun

Meaning 4

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.

Definition source: English Wiktionary via Wiktextract

Topics: combinatorics, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

5

adjective

Meaning 5

of or relating to factorials

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

6

noun

Meaning 6

the product of all the integers up to and including a given integer

Definition source: Princeton WordNet 3.0

Examples

  • 1, 2, 6, 24, and 120 are factorials

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: product, mathematical product

History

Etymology

Etymology tree English factor Proto-Indo-European *h2el-der.? Proto-Italic *-ālis Latin -ālisder. Old French -ialder. Middle English -ial English -ial English factorial From factor + -ial.

Across languages

Translations

41 source translations are retained for this English entry.

  • Armenian: ֆակտորիալ (faktorial) — mathematical operation or its result
  • Asturian: factorial — mathematical operation or its result
  • Bulgarian: факториа́л (faktoriál) — mathematical operation or its result
  • Catalan: factorial — mathematical operation or its result
  • Chinese Mandarin: 階乘 /阶乘 (jiēchéng) — mathematical operation or its result
  • Czech: faktoriál — mathematical operation or its result
  • Danish: fakultet — mathematical operation or its result
  • Dutch: faculteit — mathematical operation or its result
  • Esperanto: faktorialo — mathematical operation or its result
  • Estonian: faktoriaal — mathematical operation or its result
  • Finnish: kertoma — mathematical operation or its result
  • French: factorielle — mathematical operation or its result
  • Galician: factorial — mathematical operation or its result
  • German: Fakultät — mathematical operation or its result
  • Greek: παραγοντικό (paragontikó) — mathematical operation or its result
  • Hebrew: עֲצֶרֶת ('atzerét) — mathematical operation or its result
  • Hungarian: faktoriális — mathematical operation or its result
  • Icelandic: aðfeldi — mathematical operation or its result
  • Icelandic: hrópmerkt tala — mathematical operation or its result
  • Icelandic: fimm hrópmerkt — mathematical operation or its result
  • Icelandic: fimm aðfaldað — mathematical operation or its result
  • Indonesian: faktorial — mathematical operation or its result
  • Irish: iolrán — mathematical operation or its result
  • Italian: fattoriale — mathematical operation or its result
  • Japanese: 階乗 (kaijō) — mathematical operation or its result
  • Korean: 계승 (gyeseung) — mathematical operation or its result
  • Kyrgyz: факториал (faktorial) — mathematical operation or its result
  • Māori: huarea — mathematical operation or its result
  • Norwegian Bokmål: fakultet — mathematical operation or its result
  • Norwegian Nynorsk: fakultet — mathematical operation or its result
  • Polish: silnia — mathematical operation or its result
  • Polish: faktoriał — mathematical operation or its result
  • Portuguese: fatorial — mathematical operation or its result
  • Romanian: factorial — mathematical operation or its result
  • Russian: факториа́л (faktoriál) — mathematical operation or its result
  • Spanish: factorial — mathematical operation or its result
  • Swedish: fakultet — mathematical operation or its result
  • Tagalog: buuin — mathematical operation or its result
  • Thai: แฟกทอเรียล — mathematical operation or its result
  • Turkish: faktöriyel — mathematical operation or its result
  • Vietnamese: giai thừa — mathematical operation or its result
Real reading context

factorial in complete knowledge articles