Factorial Calculator

Calculate the product of all positive integers up to n

Result

n!
=
-

About Factorial

The factorial of a non-negative integer n, denoted as n!, is the product of all positive integers less than or equal to n.

For example:

  • 5! = 5 × 4 × 3 × 2 × 1 = 120
  • 3! = 3 × 2 × 1 = 6
  • 0! = 1 (by definition)

Factorials are used in:

  • Permutations and combinations
  • Probability theory
  • Taylor series expansions
  • Many other areas of mathematics

Note: Factorials grow very quickly. For example, 20! has 19 digits. Our calculator can handle values up to 1000!