Factorial Calculator
Calculate factorials quickly with our online calculator. Find n! for any non-negative integer.
Category: Education
Factorial Calculator
Calculate the factorial of a non-negative integer
Maximum value: 170 (larger values will cause overflow)
About Factorials
The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n.
Examples:
- 0! = 1 (by definition)
- 1! = 1
- 5! = 5 × 4 × 3 × 2 × 1 = 120
- 10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3,628,800
Factorials are used in permutations, combinations, probability and many other areas of mathematics.
Frequently Asked Questions
What is a factorial?
A 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.
What is 0 factorial?
By mathematical definition, 0! (zero factorial) equals 1. This definition is necessary for many mathematical formulas and sequences to work correctly.
What are factorials used for?
Factorials are extensively used in combinatorics to calculate permutations and combinations, in probability theory, in number theory, and in calculus for Taylor series expansions. They're also used in many real-world applications like cryptography and statistical analysis.