### What does **Factorial** mean?

# Definitions for Factorial

fækˈtɔr i əl, -ˈtoʊr-fac·to·ri·al

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **Factorial**.

### Princeton's WordNet

factorialadjective

the product of all the integers up to and including a given integer

"1, 2, 6, 24, and 120 are factorials"

factorialadjective

of or relating to factorials

### GCIDE

Factorialnoun

The product of the consecutive whole numbers from unity up to any given number; thus, 5 factorial is the product of 5 times four times three times two times one, or 120.

### Wiktionary

factorialnoun

The result of multiplying a given number of consecutive integers from 1 to the given number. In equations, it is symbolized by an exclamation mark (!). For example, 5! = 1 * 2 * 3 * 4 * 5 = 120.

factorialadjective

Of or pertaining to a factor or factorial.

factorialadjective

Of or pertaining to a factor.

factorialadjective

Of or pertaining to a factory.

### Wikipedia

Factorial

In mathematics, the factorial of a non-negative integer n {\displaystyle n} , denoted by n ! {\displaystyle n!} , is the product of all positive integers less than or equal to n {\displaystyle n} . The factorial of n {\displaystyle n} also equals the product of n {\displaystyle n} with the next smaller factorial:

### ChatGPT

factorial

The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. It is often used in computations involving permutations and combinations. The factorial function can be defined by the product: n! = n * (n-1) * (n-2) * ... * 3 * 2 * 1. For example, 5! is equal to 5 * 4 * 3 * 2 * 1 = 120. The factorial of 0 is defined as 1.

### Webster Dictionary

Factorialadjective

of or pertaining to a factory

Factorialadjective

related to factorials

Factorialnoun

a name given to the factors of a continued product when the former are derivable from one and the same function F(x) by successively imparting a constant increment or decrement h to the independent variable. Thus the product F(x).F(x + h).F(x + 2h) . . . F[x + (n-1)h] is called a factorial term, and its several factors take the name of factorials

Factorialnoun

the product of the consecutive numbers from unity up to any given number

### Wikidata

Factorial

In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, The value of 0! is 1, according to the convention for an empty product. The factorial operation is encountered in many different areas of mathematics, notably in combinatorics, algebra and mathematical analysis. Its most basic occurrence is the fact that there are n! ways to arrange n distinct objects into a sequence. This fact was known at least as early as the 12th century, to Indian scholars. The notation n! was introduced by Christian Kramp in 1808. The definition of the factorial function can also be extended to non-integer arguments, while retaining its most important properties; this involves more advanced mathematics, notably techniques from mathematical analysis.

### Suggested Resources

factorial

The factorial symbol -- In this

**Symbols.com**article you will learn about the meaning of the factorial symbol and its characteristic.

### Usage in printed sources**From:**

- [["1801","1"],["1810","5"],["1812","5"],["1814","1"],["1827","1"],["1828","1"],["1833","3"],["1835","6"],["1841","1"],["1844","5"],["1845","7"],["1846","2"],["1848","3"],["1851","1"],["1853","2"],["1854","3"],["1857","4"],["1858","2"],["1859","1"],["1860","3"],["1861","3"],["1862","3"],["1863","1"],["1864","2"],["1865","2"],["1866","8"],["1867","4"],["1868","3"],["1869","1"],["1870","4"],["1871","1"],["1872","3"],["1873","4"],["1874","15"],["1876","5"],["1877","17"],["1879","6"],["1880","1"],["1881","40"],["1882","6"],["1883","18"],["1884","5"],["1885","24"],["1886","2"],["1887","8"],["1888","2"],["1889","2"],["1891","4"],["1892","18"],["1893","70"],["1894","14"],["1895","16"],["1896","13"],["1897","3"],["1898","14"],["1899","3"],["1900","33"],["1901","20"],["1902","6"],["1903","16"],["1904","91"],["1905","40"],["1906","19"],["1907","36"],["1908","23"],["1909","18"],["1910","21"],["1911","97"],["1912","53"],["1913","310"],["1914","62"],["1915","148"],["1916","191"],["1917","55"],["1918","433"],["1919","136"],["1920","85"],["1921","200"],["1922","111"],["1923","150"],["1924","128"],["1925","250"],["1926","112"],["1927","311"],["1928","231"],["1929","143"],["1930","207"],["1931","142"],["1932","131"],["1933","75"],["1934","104"],["1935","72"],["1936","150"],["1937","418"],["1938","405"],["1939","488"],["1940","316"],["1941","947"],["1942","179"],["1943","362"],["1944","190"],["1945","292"],["1946","536"],["1947","1589"],["1948","676"],["1949","882"],["1950","1732"],["1951","833"],["1952","1862"],["1953","2026"],["1954","1413"],["1955","1282"],["1956","1699"],["1957","2129"],["1958","1784"],["1959","1846"],["1960","2348"],["1961","2502"],["1962","2760"],["1963","2474"],["1964","4108"],["1965","2885"],["1966","3391"],["1967","3922"],["1968","6362"],["1969","3921"],["1970","4379"],["1971","6166"],["1972","4226"],["1973","6284"],["1974","4422"],["1975","4361"],["1976","5521"],["1977","4407"],["1978","5591"],["1979","4681"],["1980","4957"],["1981","4768"],["1982","7225"],["1983","5545"],["1984","7762"],["1985","7410"],["1986","7987"],["1987","8943"],["1988","8431"],["1989","8085"],["1990","10725"],["1991","10370"],["1992","11034"],["1993","9680"],["1994","10708"],["1995","9331"],["1996","10329"],["1997","9993"],["1998","10345"],["1999","11497"],["2000","12542"],["2001","11559"],["2002","13036"],["2003","17129"],["2004","13565"],["2005","16074"],["2006","16102"],["2007","18710"],["2008","17387"]]

### Numerology

Chaldean Numerology

The numerical value of Factorial in Chaldean Numerology is:

**3**Pythagorean Numerology

The numerical value of Factorial in Pythagorean Numerology is:

**4**

### Examples of Factorial in a Sentence

Given that multiple factors seem to contribute to falling in the lower 5 percent on school readiness measures - including living in an impoverished household, primary language other than English, lower maternal education, and black maternal race, as well as late preterm( birth) - it is reasonable to believe that the reasons why some late preterm children are at risk are multi-

**factorial**.Given that multiple factors seem to contribute to falling in the lower 5 percent on school readiness measures - including living in an impoverished household, primary language other than English, lower maternal education, and black maternal race, as well as late preterm (birth) - it is reasonable to believe that the reasons why some late preterm children are at risk are multi-

**factorial**.

### Popularity rank by frequency of use

### References

## Translations for **Factorial**

### From our Multilingual Translation Dictionary

- факториалBulgarian
- faktoriálCzech
- fakultetDanish
- FakultätGerman
- factorialSpanish
- faktoriaalEstonian
- فاکتوریلPersian
- kertomaFinnish
- factorielleFrench
- iolránIrish
- aðfeldi, hrópmerktur, aðfaldaðurIcelandic
- fattorialeItalian
- 階乗Japanese
- факториалKyrgyz
- faculteitDutch
- fakultetNorwegian
- silnia, faktoriałPolish
- fatorialPortuguese
- факториалRussian
- fakultetSwedish

### Get even more translations for Factorial »

### Translation

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"Factorial." *Definitions.net.* STANDS4 LLC, 2024. Web. 13 Oct. 2024. <https://www.definitions.net/definition/Factorial>.

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