Factorial Calculator
Calculate the factorial of a number
About this calculator
A factorial calculator computes the factorial of any non-negative integer, which is the product of all positive integers from 1 up to that number. Factorials are essential in mathematics, particularly in combinatorics, probability theory, and algebra for calculating permutations, combinations, and solving various mathematical problems. This tool saves time and prevents calculation errors when working with large numbers, making it invaluable for students, researchers, and professionals in mathematics, statistics, and engineering fields.
How to use
Simply enter a non-negative integer (0 or positive whole number) into the input field and click calculate. The calculator will instantly display the factorial result. For example, entering 5 will show 120 as the result (5! = 5×4×3×2×1 = 120).
Frequently asked questions
What is the factorial of 0?
The factorial of 0 is defined as 1 (0! = 1) by mathematical convention, which is essential for many formulas to work correctly.
Can I calculate factorial of negative numbers?
No, factorials are only defined for non-negative integers (0, 1, 2, 3...). Negative numbers do not have standard factorial values.
What's the largest factorial this calculator can handle?
The calculator can handle factorials up to the browser's numerical limits, typically around 170! before reaching infinity due to computational constraints.