# 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 showed by an integer and an exclamation tag. In math concepts, factorial is a multiplication function of natural numbers .

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

Symbolically, it is showed as "!".

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

## Factorial Formula

To find the factorial of any given number, replace the value for n in the given method :

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

The expansion of the formula gives the numbers to be multiplied together 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 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

1) Can we have factorials for negative numbers ?
Negative integer factorials are undefined

2) What Is 0!
Zero factorial or Factorial of 0 is simple, and its value is corresponding to 1. So, 0! = 1.