# factorial

[ fak-tawr-ee-uhl, -tohr- ]

/ fækˈtɔr i əl, -ˈtoʊr- /

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### 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.

### adjective

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Improve Your Writing## OTHER WORDS FROM factorial

fac·to·ri·al·ly, adverb## Words nearby factorial

factorage, factor analysis, factor cost, factor group, factor I, factorial, factorial experiment, factor II, factor III, factor in, factoring

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2021

## How to use factorial in a sentence

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

The Organism as a Whole|Jacques LoebIn 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 JohnsonIt is by no means unlikely that various dark forms of lubricipeda correspond with a progressive series of factorial additions.

Problems of Genetics|William BatesonThe 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

### adjective

of or involving factorials or factors

## Derived forms of factorial

factorially, adverbCollins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for factorial

factorial

[ făk-tôr′ē-əl ]

The product of all of the positive integers from 1 to a given positive integer. It is written as the given integer followed by an exclamation point. For example, the factorial of 4 (written 4!) is 1 X 2 X 3 X 4, or 24.

The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.