# What is 46 factorial ?

Steps to calculate factorial of 46

## 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.

## 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.