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factorial

fac·to·ri·al
F f

Transcription

    • US Pronunciation
    • US IPA
    • UK Pronunciation
    • UK IPA
    • [fak-tawr-ee-uh l, -tohr-]
    • /fækˈtɔr i əl, -ˈtoʊr-/
    • /fækˈtɔːrɪəl/
    • US Pronunciation
    • US IPA
    • [fak-tawr-ee-uh l, -tohr-]
    • /fækˈtɔr i əl, -ˈtoʊr-/

Definitions of factorial word

  • noun factorial 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
  • adjective factorial Mathematics. of or relating to factors or factorials. 1
  • adjective factorial of or relating to a factor or a factory. 1
  • noun factorial The product of an integer and all the integers below it; e.g., factorial four ( 4! ) is equal to 24. 1
  • noun Technical meaning of factorial (mathematics)   The mathematical function that takes a natural number, N, and returns the product of N and all smaller positive integers. This is written N! = N * (N-1) * (N-2) * ... * 1. The factorial of zero is one because it is an empty product. Factorial can be defined recursively as For example, the number of ways of shuffling 52 playing cards is 52! or nearly 10^68. 52 Factorial. 1
  • noun 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 0

Information block about the term

Origin of factorial

First appearance:

before 1810
One of the 40% newest English words
First recorded in 1810-20; factor + -ial

Historical Comparancy

Parts of speech for Factorial

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation

factorial popularity

A common word. It’s meaning is known to most children of preschool age. About 88% of English native speakers know the meaning and use the word.
Most Europeans know this English word. The frequency of it’s usage is somewhere between "mom" and "screwdriver".

factorial usage trend in Literature

This diagram is provided by Google Ngram Viewer

Top questions with factorial

  • what is a factorial?
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  • what is 3 factorial?
  • why is 0 factorial 1?
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  • what is 52 factorial?
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  • what is 100 factorial?
  • what is 1 factorial?
  • why is zero factorial 1?
  • how to calculate factorial?

See also

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