Factorial

:This article is not about actorial-experiment/">factorial experiments.

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In mathematics, the factorial of a natural number n is the product of all positive integers less than and equal to n. This is written as n! and pronounced "n factorial". The notation n! was introduced by Christian Kramp in 1808.

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The factorial function is formally defined by

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:n!=prod_{k=1}^n kqquadmbox{for all }n ge 0. !

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For example,

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:5! = 1 imes 2 imes 3 imes 4 imes 5 = 120.

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We have

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:0! = 1

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because the product of no numbers at all is 1. This fact for factorials is useful, because

Natural number: Natural number can mean either a positive integer (, , , , ...) or a non-negative integer (, , , , , ...)....

Positive: In common usage positive is sometimes used in affirmation, as a synonym for "yes" or to express "certainty".In mathematics, a number is called positive if it is bigger than zero. See negative and non-negative numbers.In functional analysis, a bounded linear operator is positive if its spectrum consi...

Integer: The integers consist of the positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. The set of all integers is usually denoted in mathematics by Z (or Z in blackboard bold, mathbb{Z}), which stands for Zahlen (German for "numbers"). The...

Factorial related Images and Photos (experimental)

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factorial!

factorial!