Free Factorial Calculator

Calculate the factorial of any non-negative integer. Factorial (n!) is the product of all positive integers up to n.

Factorial Val

5,040

N Minus 1 Factorial720

How to Calculate a Factorial

Formula

n! = n × (n-1) × (n-2) × ... × 2 × 1

Special cases:

  • 0! = 1 (by definition)
  • 1! = 1
  • Factorials grow extremely fast. 10! = 3,628,800 and 20! = 2,432,902,008,176,640,000.

    Example Calculation

    Calculate 7!

    1. 017! = 7 × 6 × 5 × 4 × 3 × 2 × 1
    2. 02= 42 × 5 × 4 × 3 × 2 × 1
    3. 03= 210 × 4 × 3 × 2 × 1
    4. 04= 840 × 3 × 2 × 1
    5. 05= 2520 × 2 × 1
    6. 06= 5040

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