Factorial (n!) Calculator

Factorial (n!) Calculator | Math Tools

Factorial (n!) Calculator

Use this free factorial calculator to compute n! (n factorial). Enter any non-negative integer and get your result instantly.

What Is a Factorial?

The factorial of a non-negative integer n is the product of all positive integers from 1 to n. It is written as n!.

Factorials are used in probability, statistics, combinatorics, and many areas of mathematics such as permutations and series expansions.

Factorial Formula

The factorial of a number n is defined as:

n! = n × (n − 1) × (n − 2) × ... × 3 × 2 × 1

Special case:

0! = 1

  • n = any non-negative integer
  • n! = factorial of n

Example Calculation

Example: Find the factorial of 5.

5! = 5 × 4 × 3 × 2 × 1 = 120

The factorial of 5 is 120.

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