# Factorial Calculator

## What is a Factorial?

In mathematics, a factorial is a function that represents the product of all positive integers from 1 to a given non-negative integer. It is typically denoted by an exclamation mark (!) after a number.

### The Factorial formula:

*n!* = 1×2×3×4×...×*n*

### How to calculate Factorial?

To calculate the factorial manually, you need to follow these steps:

- Choose the number for which you want to calculate the factorial; let's call it n.
- Start from 1 and create a list of numbers from 1 to n.
- Based on this list of numbers, perform consecutive multiplications from 1 to n. This means you start with 1 and multiply it by 2, then continue multiplying by 3, 4, and so on until you multiply by n. Repeat this process.
- Once you have multiplied all the numbers from 1 to n, the result of this multiplication is the factorial of n.
- Record this result or use it for your intended purpose.

#### Example

For example, to calculate 5!, you would do the following:

5! = 1×2×3×4×5 = 120

So, 5! = 120.

If you want to calculate the factorial of a different number, simply replace n with that number in the calculation.

See also

Write how to improve this tool