## How to calculate the factorial of **46**

To find 46 factorial, or **46!**,
simply use the formula that multiplies the number 46 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of
**Forty-six ** :

**46!** is exactly : **5502622159812088949850305428800254892961651752960000000000**

Factorial of **46** can be calculated as:

**46!** = **46 x 45 x 44 x 43 x ... x 3 x 2 x 1**

The number of trailing zeros in
**46!** is **11**

The number of digits in **46** factorial is **58**.

## Factorials of Numbers similar to **46**

## What Is Factorial?

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

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

Symbolically, it is listed as "!".

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

## Factorial Formula

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

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

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

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

So the rule is : n! = n × (n−1)!

Example :

**46!** Factorial =
46 x 45 x 44 x 43 x ... x 3 x 2 x 1 =
46 × 45! =
5502622159812088949850305428800254892961651752960000000000

## 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 equal to 1. So, 0! = 1.