Factorial Calculator

Calculate the factorial (n!) of any positive integer quickly and easily.

Result:

Understanding Factorials

A factorial, denoted by the symbol "!", is the product of all positive integers less than or equal to a given number. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120.

Key Facts About Factorials

  • 0! is defined as 1
  • 1! equals 1
  • Factorials grow very quickly - 10! is already over 3.6 million
  • Factorials are important in probability and statistics

Common Uses

Factorials are used in:

  • Probability calculations
  • Permutations and combinations
  • Statistical analysis
  • Number theory