# 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 of factorial

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.