factorial

English

Etymology

factor +‎ -ial

Pronunciation

• IPA^(key): /fækˈtɔːɹi.əl/

  • Audio (UK)

    (file)

Noun

factorial (plural factorials)

1. (mathematics, combinatorics) 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.

Usage notes

"n!" is read as "factorial of n" or "n factorial."

Hyponyms

• double factorial
• falling factorial
• rising factorial

Related terms

• fact
• faction
• factor
• factorial prime
• factory
• fashion

 

Translations

mathematical operation or its result

• Bulgarian: факториа́л m (faktoriál)
• Chinese:

  Mandarin: 階乘 (zh)

• Czech: faktoriál m
• Danish: fakultet
• Dutch: faculteit (nl)
• Estonian: faktoriaal
• Finnish: kertoma (fi)
• French: factorielle (fr) f
• German: Fakultät (de) f
• Greek: παραγοντικό (el) m (paragontikó)
• Hebrew: עֲצֶרֶת‎ (he) f ('atzerét)
• Hungarian: faktoriális (hu)
• Icelandic: aðfeldi (is) n, (a factorial number) hrópmerkt tala f, (factorial of five) fimm hrópmerkt, (factorial of five) fimm aðfaldað
• Irish: iolrán m
• Italian: fattoriale (it) m
• Japanese: 階乗 (ja) (kaijō)
• Korean: 계승 (ko) (gyeseung)
• Kyrgyz: факториал (ky) (faktorial)
• Norwegian:

  Bokmål: factorial n

• Polish: silnia (pl) f, (dated) faktoriał m
• Portuguese: fatorial (pt) m
• Russian: факториа́л (ru) (faktoriál)
• Spanish: factorial (es) m
• Swedish: fakultet (sv) c
• Tagalog: buuin
• Turkish: faktöriyel (tr)
• Vietnamese: giai thừa

Adjective

factorial (comparative more factorial, superlative most factorial)

1. (mathematics) Of or pertaining to a factor or factorial.
2. Of or pertaining to a factor, a kind of business agent.
   • 2004, The Digest: Annotated British, Commonwealth, and European Cases

     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.

Derived terms

• factorial experiment
• factorial table

 

See also

• primorial

References

• factorial on Wikipedia.Wikipedia

Further reading

• factorial in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913
• factorial in The Century Dictionary, New York, N.Y.: The Century Co., 1911

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Portuguese

Noun

factorial m (plural factoriais)

1. Superseded spelling of fatorial. (Superseded in Brazil by the 1943 spelling reform and by the Portuguese Language Orthographic Agreement of 1990 elsewhere. Still used in countries where the agreement hasn’t come into effect and as an alternative spelling in Portugal.)

Adjective

factorial m or f (plural factoriais)

1. Superseded spelling of fatorial. (Superseded in Brazil by the 1943 spelling reform and by the Portuguese Language Orthographic Agreement of 1990 elsewhere. Still used in countries where the agreement hasn’t come into effect and as an alternative spelling in Portugal.)

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Romanian

Etymology

From French factorielle.

Adjective

factorial m or n (feminine singular factorială, masculine plural factoriali, feminine and neuter plural factoriale)

1. factorial

Declension

Declension of factorial

		singular			plural
		masculine	neuter	feminine	masculine	neuter	feminine
nominative/ accusative	indefinite	factorial		factorială	factoriali	factoriale
	definite	factorialul		factoriala	factorialii	factorialele
genitive/ dative	indefinite	factorial		factoriale	factoriali	factoriale
	definite	factorialului		factorialei	factorialilor	factorialelor

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Spanish

Pronunciation

• IPA^(key): /faɡtoˈɾjal/ [faɣ̞.t̪oˈɾjal]
• Rhymes: -al
• Hyphenation: fac‧to‧rial

Noun

factorial m (plural factoriales)

1. (mathematics) factorial

Further reading

• “factorial”, in Diccionario de la lengua española, Vigésima tercera edición, Real Academia Española, 2014