Factorial Calculator
Free online factorial calculator tool.
About Factorial Calculator
The Factorial Calculator is a specialized mathematical tool designed to compute the factorial of any non-negative integer. In mathematics, the factorial of a number (denoted by n!) is the product of all positive integers less than or equal to n.
How Factorial Calculator Works
- Step 1: Input (n): Enter a non-negative whole number in the input field.
- Step 2: Calculate: Press calculate. The tool runs a highly optimized loop to multiply all integers from 1 up to your number.
- Step 3: Result: The final product (n!) is displayed immediately. Note that for very large numbers, the output may be displayed in scientific notation due to browser memory limits.
Frequently Asked Questions
What is the factorial of 0 (0!)?
By mathematical definition, the factorial of 0 is exactly 1. This convention makes many mathematical formulas (like the binomial theorem) work properly.
Can I calculate the factorial of a negative number?
No. The standard factorial function is only defined for non-negative integers. If you need to extend factorials to negative or fractional numbers, you would use the Gamma function, which is outside the scope of basic factorials.
What is the highest factorial this tool can compute?
The tool uses standard JavaScript numbers (double-precision floating point). It can accurately represent exact integers up to 170!. Anything beyond 170! is returned as Infinity because it exceeds the maximum safe integer limit in standard JS math.