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Factorial Calculator (n!)

Calculate the factorial of a number.

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Result

120

5! = 120

n! = n × (n−1) × … × 1

What Is a Factorial?

A factorial is the product of a positive integer with all the numbers from itself down to 1. It is the foundation of permutation and combination calculations.

How is it calculated?

How Is It Calculated?

n! = n × (n−1) × (n−2) × … × 1

  1. Enter the number.

For example, 5! = 5×4×3×2×1 = 120. By definition, 0! = 1.

Frequently Asked Questions

Why is 0! equal to 1?
Because there is only one way to arrange an empty set and for the consistency of the formulas, 0! = 1 is accepted.

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