Factorial Calculator (n!)

Instantly calculate the factorial of a number (n!) — the product of all numbers from 1 to n, exact even for large values.

Enter the number

Number n

The factorial (n!) is the product of all integers from 1 to n.

=10!

3,628,800

Result3,628,800

n! = 1 × 2 × 3 × … × n. By definition, 0! = 1.

Standard mathematical formulas. Instant in-browser calculation, no account. Exact results, big numbers computed precisely.

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iHow it is calculated

The factorial of n is the product of all integers from 1 to n. It is widely used in combinatorics and probability:

n! = 1 × 2 × 3 × … × n

5! = 120, 10! = 3,628,800. By definition, 0! = 1.

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What is the factorial (n!)?

The product of all integers from 1 to n. For example, 5! = 1 × 2 × 3 × 4 × 5 = 120.

What is 0! (the factorial of zero)?

By definition, 0! = 1. This is needed so that combination and permutation formulas work correctly.

What are 5! and 10!?

5! = 120, and 10! = 3,628,800. The factorial grows very fast.

What is the factorial used for?

Counting arrangements and combinations, probability, mathematical series and combinatorics.

Why is 0! = 1?

There is exactly one way to arrange zero objects (the empty set), so by convention and for consistency, 0! = 1.

How fast does the factorial grow?

Extremely fast: 13! already exceeds 6 billion, and 70! has over 100 digits.

What is 52!?

52! ≈ 8.07 × 10⁶⁷ — the number of ways a deck of 52 playing cards can be shuffled.

How is n! calculated?

Multiply all numbers from 1 to n: n! = 1 × 2 × 3 × … × n. The calculator uses big integers for exact precision.

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