## How to calculate the factorial of **31**

To find 31 factorial, or **31!**,
simply use the formula that multiplies the number 31 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of
**Thirty-one ** :

**31!** is exactly : **8222838654177922817725562880000000**

Factorial of **31** can be calculated as:

**31!** = **31 x 30 x 29 x 28 x ... x 3 x 2 x 1**

The number of trailing zeros in
**31!** is **7**

The number of digits in **31** factorial is **34**.

## Factorials of Numbers similar to **31**

## What Is Factorial?

A factorial is symbolized by an integer and an exclamation symbol. In math concepts, factorial is a multiplication process of natural numbers .

It multiplies the number by every organic number that is less than it .

Symbolically, it is displayed as "!".

The function is used, among other things, to get the "n" way items can be arranged .

## Factorial Formula

To find the factorial of any given number, change the value for n in the given way :

n! = n × (n-1) × (n-2) × (n-3) × ….× 3 × 2 × 1

The expansion of the formula provides numbers to be multiplied together to have the factorial of the number.

We can also calculate a factorial from the previous one. The factorial of any number is that number multiplied the factorial of (that number minus 1).

So the rule is : n! = n × (n−1)!

Example :

**31!** Factorial =
31 x 30 x 29 x 28 x ... x 3 x 2 x 1 =
31 × 30! =
8222838654177922817725562880000000

## What are Factorials Used For?

The best use of factorial is in Combinations and Permutations.

Example : Determine how to arrange letters without repeating?

There one way for 1 letter "a":

2 ways for two letters "ab": ab, ba.

There are 6 ways for 3 letters "abc": abc acb cab bac bca.

There are 24 ways for 1234 of the letters "abcd"

## Frequently Asked Questions on Factorial

### Can we have factorials for negative numbers ?

Negative number factorials are undefined

### What Is 0!

Zero factorial or Factorial of 0 is simple, and its own value is corresponding to 1. So, 0! = 1.