factorial

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factorial

  • /fækˈtɔːɹi.əl/

Rhymes with -ɔːɹiəl

noun factorials

  1. 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. The expression #123;#125;#95;nC#95;r means the number of combinations of n things taken r at a time. It is also written #92;binomnr, and is equal to#92;frac#123;n(n-1)(n-2)(n-3)#92;cdots#92;cdots(n-r#43;1)#125;#123;r#33;#125;or n#33;#47;r#33;(n-r)#33;, in which r#33; is read "factorial r" and denote

adjective more factorial · most factorial

  1. Of or pertaining to a factor or factorial. I shall denote, as usual, the factorial product of the numbers up to n by n#33;, but I have found it necessary to introduce a separate notation for the products of successive even or odd numbers. I consequently definen#33;#33;#61;n#92;cdot(n-2)#33;#33;.Starting with1#33;#33;#61;1,#92;quad 2#33;#33;#
  2. Of or pertaining to a factor, a kind of business agent. The latter sold the goods to a customer who was cashier to certain creditors of the agents without disclosing the factorial capacity in which they acted.
  3. dated Of or pertaining to a factory.

Translations

Every language

noun mathematical operation or its result

Españolfactorial
한국어계승 gyeseung
日本語階乗 kaijō
中文階乘 /阶乘 jiēchéng
Portuguêsfatorial
Françaisfactorielle
DeutschFakultät
Italianofattoriale
Ελληνικάπαραγοντικό paragontikó
Românăfactorial
Русскийфакториа́л faktoriál
Tiếng Việtgiai thừa
עבריתעֲצֶרֶת 'atzerét

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MLA

"factorial." Wiktionary, via Micwyn, micwyn.com/word/factorial. Accessed 6 Nov. 2026.

APA

factorial. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/factorial

Chicago

"factorial." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/factorial.

BibTeX
@misc{factorial_2026,
  title = {factorial},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/factorial},
  urldate = {2026-11-06}
}