factorial

English

Pronunciation

• IPA^(key): /fækˈtɔːɹi.əl/

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)
• 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.

   (Can we find and add a quotation of Buchanan to this entry?)

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, The Century Co., New York, 1911.

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Portuguese

Noun

factorial m (plural factoriais)

1. Alternative spelling of fatorial (superseded in Brazil by the 1943 spelling reform, and by the Orthographic Agreement of 1990 elsewhere. Still used in countries where the agreement hasn’t come into effect, and as an alternative spelling in Portugal, where the agreement came into effect in May 2009.)

Adjective

factorial m or f (plural factoriais, comparable)

1. Alternative spelling of fatorial (superseded in Brazil by the 1943 spelling reform, and by the Orthographic Agreement of 1990 elsewhere. Still used in countries where the agreement hasn’t come into effect, and as an alternative spelling in Portugal, where the agreement came into effect in May 2009.)

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Spanish

Noun

factorial m (plural factoriales)

1. (mathematics) factorial