# What is 61 factorial ?

Steps to calculate factorial of 61

## How to calculate the factorial of 61

To find 61 factorial, or 61!, simply use the formula that multiplies the number 61 by all positive whole numbers less than it.

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

61! is exactly : 507580213877224798800856812176625227226004528988036003099405939480985600000000000000

Factorial of 61 can be calculated as:
61! = 61 x 60 x 59 x 58 x ... x 3 x 2 x 1

The number of trailing zeros in 61! is 14

The number of digits in 61 factorial is 84.

## What Is Factorial?

A factorial is displayed by an integer and an exclamation mark. In Mathematics, factorial is a multiplication operation of natural numbers .

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

Symbolically, it is represented as "!".

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

## Factorial Formula

To find the factorial of any given number, alternate the exact value for n in the given equation :

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

The expansion of the formula gives the numbers to be replicated collectively to have the factorial of the number.

We can also determine 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 :
61! Factorial = 61 x 60 x 59 x 58 x ... x 3 x 2 x 1 = 61 × 60! = 507580213877224798800856812176625227226004528988036003099405939480985600000000000000

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