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# 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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## 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

Dictionary.com Unabridged
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.