Factorial Calculator

Enter a non-negative integer to calculate its factorial.

Enter a non-negative integer:

Result:

Awaiting calculation... Enter a valid non-negative integer and click 'Calculate Factorial'.

What is a 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 factorial of 5 (denoted as 5!) is calculated as:

5! = 5 × 4 × 3 × 2 × 1 = 120

The factorial of 0 is defined as 1, i.e., 0! = 1. Factorials are commonly used in combinatorics, algebra, probability theory, and various other mathematical contexts. They represent the number of ways to arrange $$n$$ distinct objects.

This tool helps you quickly calculate the factorial of any non-negative integer you input. Simply enter the number and click 'Calculate Factorial' to see the result.