# What is 83 factorial ?

Steps to calculate factorial of 83

## How to calculate the factorial of 83

To find 83 factorial, or 83!, simply use the formula that multiplies the number 83 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Eighty-three :

83! is exactly : 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000

Factorial of 83 can be calculated as:
83! = 83 x 82 x 81 x 80 x ... x 3 x 2 x 1

The number of trailing zeros in 83! is 19

The number of digits in 83 factorial is 125.

## What Is Factorial?

A factorial is represented by an integer and an exclamation tag. In arithmetic, factorial is a multiplication procedure of natural numbers .

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

Symbolically, it is listed as "!".

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

## Factorial Formula

To find the factorial of any given number, exchange the value for n in the given formula :

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

The expansion of the formula gives the numbers to be multiplied with each other to have the factorial of the number.

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

So the rule is : n! = n × (n−1)!

Example :
83! Factorial = 83 x 82 x 81 x 80 x ... x 3 x 2 x 1 = 83 × 82! = 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000

## 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 value is corresponding to 1. So, 0! = 1.