# factorial

[fak-tawr-ee-uh l, -tohr-]

- 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.

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## Origin of factorial^{}

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## Examples from the Web for factorial

### Historical Examples

#### The possible connections within it were factorial one hundred thousand.

Unwise ChildGordon Randall Garrett

#### It is by no means unlikely that various dark forms of lubricipeda correspond with a progressive series of factorial additions.

Problems of GeneticsWilliam Bateson

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

The Organism as a WholeJacques Loeb

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

Applied EugenicsPaul Popenoe and Roswell Hill Johnson

## factorial

- 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

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- of or involving factorials or factors

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

## Word Origin and History for factorial

Online Etymology Dictionary, © 2010 Douglas Harper

## 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.

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