# What is 30 factorial ?

Steps to calculate factorial of 30

## How to calculate the factorial of 30

To find 30 factorial, or 30!, simply use the formula that multiplies the number 30 by all positive whole numbers less than it.

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

30! is exactly : 265252859812191058636308480000000

Factorial of 30 can be calculated as:
30! = 30 x 29 x 28 x 27 x ... x 3 x 2 x 1

The number of trailing zeros in 30! is 7

The number of digits in 30 factorial is 33.

## What Is Factorial?

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

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

Symbolically, it is displayed as "!".

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

## Factorial Formula

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

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

The expansion of the formula provides the numbers to be multiplied to each other to find the factorial of the number.

We can also determine 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 :
30! Factorial = 30 x 29 x 28 x 27 x ... x 3 x 2 x 1 = 30 × 29! = 265252859812191058636308480000000

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