# What is 33 factorial ?

Steps to calculate factorial of 33

## How to calculate the factorial of 33

To find 33 factorial, or 33!, simply use the formula that multiplies the number 33 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Thirty-three :

33! is exactly : 8683317618811886495518194401280000000

Factorial of 33 can be calculated as:
33! = 33 x 32 x 31 x 30 x ... x 3 x 2 x 1

The number of trailing zeros in 33! is 7

The number of digits in 33 factorial is 37.

## What Is Factorial?

A factorial is displayed by an integer and an exclamation tag. In arithmetic, factorial is a multiplication treatment of natural numbers .

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

Symbolically, it is symbolized as "!".

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

## Factorial Formula

To find the factorial of any given number, change the exact 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 replicated collectively to receive the factorial of the number.

We can also calculate a factorial from the previous 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 :
33! Factorial = 33 x 32 x 31 x 30 x ... x 3 x 2 x 1 = 33 × 32! = 8683317618811886495518194401280000000

## 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.