# factorial

[ fak-tawr-ee-uh l, -tohr- ]
/ fækˈtɔr i əl, -ˈtoʊr- /

### noun

Mathematics. the product of a given positive integer multiplied by all lesser positive integers: The quantity four factorial (4!) = 4 ⋅ 3 ⋅ 2 ⋅ 1 = 24. Symbol: n!, where n is the given integer.

Mathematics. of or relating to factors or factorials.
of or relating to a factor or a factory.

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## Origin of factorial

First recorded in 1810–20; factor + -ial

## Words nearby factorial

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020

## Example sentences from the Web for factorial

• These phenomena demonstrate the existence of a complex interrelation between the factorial units.

• In its place stands the factorial hypothesis, evolved by workers in America, England, and France at about the same time.

Applied Eugenics|Paul Popenoe and Roswell Hill Johnson
• It is by no means unlikely that various dark forms of lubricipeda correspond with a progressive series of factorial additions.

Problems of Genetics|William Bateson
• The possible connections within it were factorial one hundred thousand.

Unwise Child|Gordon Randall Garrett

## British Dictionary definitions for factorial

factorial
/ (fækˈtɔːrɪəl) maths /

### noun

the product of all the positive integers from one up to and including a given integer. Factorial zero is assigned the value of one: factorial four is 1 × 2 × 3 × 4 . Symbol: n !, where n is the given integer

of or involving factorials or factors