What is 36 factorial ?

Steps to calculate factorial of 36

How to calculate the factorial of 36

To find 36 factorial, or 36!, simply use the formula that multiplies the number 36 by all positive whole numbers less than it.

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

  36! is exactly : 371993326789901217467999448150835200000000

  Factorial of 36 can be calculated as:
36! = 36 x 35 x 34 x 33 x ... x 3 x 2 x 1

  The number of trailing zeros in 36! is 8

  The number of digits in 36 factorial is 42.

What Is Factorial?

A factorial is showed by an integer and an exclamation mark. In arithmetic, factorial is a multiplication process of natural numbers .

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

Symbolically, it is displayed as "!".

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

Factorial Formula

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

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

The expansion of the formula gives the numbers to be replicated together to receive the factorial of the number.

We can also measure 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 :
36! Factorial = 36 x 35 x 34 x 33 x ... x 3 x 2 x 1 = 36 × 35! = 371993326789901217467999448150835200000000

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.

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