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

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

Symbolically, it is displayed as "!".

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

Factorial Formula

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

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

The expansion of the formula provides the numbers to be replicated collectively to have the factorial of the number.

We can also determine a factorial from the previous 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

1) Can we have factorials for negative numbers ?
  Negative number 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.

Other conversions of the number 39