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Factorial

Tool for computing factorials. Factorial n! is the product of all integers numbers (not zero) inferior or equal to n.

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Factorial -

Tag(s) : Arithmetics,Mathematics

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# Factorial

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## Factorial Calculator N!

Also on dCode: MultiplicationSubfactorial

## Gamma Calculator Γ(N)

Also on dCode: Subfactorial

Tool for computing factorials. Factorial n! is the product of all integers numbers (not zero) inferior or equal to n.

### How to calculate a factorial?

Factorial n is a simple multiplication: the product of the integers numbers (not null) less or equal to n.

The usual notation to indicate a factorial is the exclamation mark positioned after the number.

4! = 1*2*3*4 = 24

Note that the factorial of zero is equal to 1 : 0! = 1.

0! = 1, 1! = 1, 2! = 2, 3! = 6, 4! = 24, 5! = 120, 6! = 720, 7! = 5040, 8! = 40320, 9! = 362880, 10! = 3628800, etc.

### What is the Gamma Function?

Euler-Gamma is an extension of the factorial function over the Complex numbers. dCode offers calculation over the Reals. $$\forall\,n \in \mathbb{N}, \; \Gamma(n+1)=n!$$

### How to calculate a negative factorial?

You have to use the Gamma function.