# What is 39 factorial ?

Steps to calculate factorial of 39

## How to calculate the factorial of 39

To find 39 factorial, or 39!, simply use the formula that multiplies the number 39 by all positive whole numbers less than it.

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

39! is exactly : 20397882081197443358640281739902897356800000000

Factorial of 39 can be calculated as:
39! = 39 x 38 x 37 x 36 x ... x 3 x 2 x 1

The number of trailing zeros in 39! is 9

The number of digits in 39 factorial is 47.

## What Is Factorial?

A factorial is showed by an integer and an exclamation symbol. In Mathematics, factorial is a multiplication operation of natural numbers .

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

Symbolically, it is symbolized as "!".

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

## Factorial Formula

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

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

The expansion of the formula shows the numbers to be multiplied to each other to receive the factorial of the number.

We can also determine a factorial from the prior one. The factorial of any number is that number multiplied the factorial of (that number minus 1).

So the rule is : n! = n × (n−1)!

Example :
39! Factorial = 39 x 38 x 37 x 36 x ... x 3 x 2 x 1 = 39 × 38! = 20397882081197443358640281739902897356800000000

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