# What is 38 factorial ?

Steps to calculate factorial of 38

## How to calculate the factorial of 38

To find 38 factorial, or 38!, simply use the formula that multiplies the number 38 by all positive whole numbers less than it.

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

38! is exactly : 523022617466601111760007224100074291200000000

Factorial of 38 can be calculated as:
38! = 38 x 37 x 36 x 35 x ... x 3 x 2 x 1

The number of trailing zeros in 38! is 9

The number of digits in 38 factorial is 45.

## What Is Factorial?

A factorial is symbolized by an integer and an exclamation mark. In math concepts, factorial is a multiplication function of natural numbers .

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

Symbolically, it is represented as "!".

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

## Factorial Formula

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

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

The expansion of the formula provides numbers to be replicated together to get 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 :
38! Factorial = 38 x 37 x 36 x 35 x ... x 3 x 2 x 1 = 38 × 37! = 523022617466601111760007224100074291200000000

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