Factorial Calculator

Calculate factorial (n!) with step-by-step multiplication

Enter Number

Result:0! = 0

Understanding Factorials

What is Factorial?

Learn about factorial calculations:

  • Definition:

    Product of all positive integers less than or equal to n

  • Example:

    5! = 5 × 4 × 3 × 2 × 1 = 120

  • Special Case:

    0! is defined as 1

Applications

Common uses of factorials:

  • Permutations:

    Number of ways to arrange n distinct objects

  • Combinations:

    Used in probability and statistics

  • Mathematics:

    Taylor series, calculus, and more

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