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# factorial

[fak-tawr-ee-uh l, -tohr-]
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noun
1. 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.
1. Mathematics. of or relating to factors or factorials.
2. of or relating to a factor or a factory.

## Origin of .css-1fxfie5{font-size:22px;}@media (max-width:768px){.css-1fxfie5{font-size:18px;margin:0 10px 10px 0;word-break:break-all;word-wrap:break-word;-webkit-hyphens:auto;-moz-hyphens:auto;-ms-hyphens:auto;hyphens:auto;line-height:22px;}}factorial

First recorded in 1810–20; factor + -ial
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 Child

Gordon Randall Garrett

• #### 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

• #### 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

British Dictionary definitions for factorial

# factorial

noun
1. 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
1. of or involving factorials or factors
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 forfactorial

1816 (n.), 1837 (adj.), from factor + -al (2).

Online Etymology Dictionary, © 2010 Douglas Harper

factorial in Science

# factorial

[făk-tôrē-əl]
1. 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.