Factorial Calculator
Factorial Calculator (n!)
Calculate the factorial of any positive integer.
!
Max supported value is 170.
Result
0
What is a Factorial?
In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n.
For example: 5! = 5 × 4 × 3 × 2 × 1 = 120. Factorials are commonly used in combinations and permutations to calculate probabilities and different ways to arrange items.
Frequently Asked Questions
What is the factorial of zero (0!)?
The factorial of 0 is uniquely defined as exactly 1. This mathematical convention makes permutations and combinations formulas work properly even when calculating zero items.
Why is the max limit set to 170?
Factorials grow exceptionally fast. The factorial of 171 is so massive that it exceeds the maximum computational limit of standard JavaScript (resulting in ‘Infinity’). Therefore, 170! is the highest accurately displayable number here.