# What is 51 factorial ?

Steps to calculate factorial of 51

## How to calculate the factorial of 51

To find 51 factorial, or 51!, simply use the formula that multiplies the number 51 by all positive whole numbers less than it.

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

51! is exactly : 1551118753287382280224243016469303211063259720016986112000000000000

Factorial of 51 can be calculated as:
51! = 51 x 50 x 49 x 48 x ... x 3 x 2 x 1

The number of trailing zeros in 51! is 12

The number of digits in 51 factorial is 67.

## What Is Factorial?

A factorial is symbolized by an integer and an exclamation mark. In Mathematics, factorial is a multiplication operation 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 pieces can be determined .

## Factorial Formula

To find the factorial of any given number, substitute the exact value for n in the given solution :

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

The expansion of the formula provides numbers to be multiplied to each other to find the factorial of the number.

We can also work out 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 :
51! Factorial = 51 x 50 x 49 x 48 x ... x 3 x 2 x 1 = 51 × 50! = 1551118753287382280224243016469303211063259720016986112000000000000

## 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 integer factorials are undefined

### What Is 0!

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