Definitions for Factorial
fækˈtɔr i əl, -ˈtoʊr-fac·to·ri·al

Princeton's WordNetRate this definition:3.0 / 1 vote

1. factorialadjective

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

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

2. factorialadjective

   of or relating to factorials

GCIDERate this definition:2.0 / 2 votes

1. 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.

WiktionaryRate this definition:0.0 / 0 votes

1. 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.

2. factorialadjective

   Of or pertaining to a factor or factorial.

3. factorialadjective

   Of or pertaining to a factor.

4. factorialadjective

   Of or pertaining to a factory.

WikipediaRate this definition:0.0 / 0 votes

1. 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:

ChatGPTRate this definition:0.0 / 0 votes

1. 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 DictionaryRate this definition:0.0 / 0 votes

1. Factorialadjective

   of or pertaining to a factory

2. Factorialadjective

   related to factorials

3. 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

4. Factorialnoun

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

WikidataRate this definition:0.0 / 0 votes

1. 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 ResourcesRate this definition:0.0 / 0 votes

1. 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 sourcesFrom: 

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How to pronounce Factorial?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say Factorial in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of Factorial in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of Factorial in Pythagorean Numerology is: 4

Examples of Factorial in a Sentence

1. Veronica Hinton:

   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.

2. Veronica Hinton:

   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

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=Factorial
2. ^ GCIDE
   https://gcide.gnu.org.ua/?q=Factorial
3. ^ Wiktionary
   https://en.wiktionary.org/wiki/Factorial
4. ^ Wikipedia
   https://en.wikipedia.org/wiki/Factorial
5. ^ ChatGPT
   https://chat.openai.com
6. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/Factorial
7. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=Factorial
8. ^ Usage in printed sources
   https://books.google.com/ngrams/graph?content=Factorial