What is 83 factorial ?

Steps to calculate factorial of 83

How to calculate the factorial of 83

To find 83 factorial, or 83!, simply use the formula that multiplies the number 83 by all positive whole numbers less than it.

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

  83! is exactly : 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000

  Factorial of 83 can be calculated as:
83! = 83 x 82 x 81 x 80 x ... x 3 x 2 x 1

  The number of trailing zeros in 83! is 19

  The number of digits in 83 factorial is 125.

What Is Factorial?

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

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

Symbolically, it is listed as "!".

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

Factorial Formula

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

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 find the factorial of the number.

We can also calculate a factorial from the previous 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 :
83! Factorial = 83 x 82 x 81 x 80 x ... x 3 x 2 x 1 = 83 × 82! = 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000

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.

Other conversions of the number 83