Arithmetic & Number Theory

Factorial

Product of all positive integers up to n.

Formula

Formula
n! = 1 · 2 · 3 ⋯ n

Variables

SymbolDefinitionType & rangeUnitsRole
n non-negative integer integer (ℤ) input
n! factorial integer (ℤ) input

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givenn = 6
Result720
Example 2
Givenn = 10
Result3628800