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

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

Symbolically, it is listed as "!".

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

Factorial Formula

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

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

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

We can also work out a factorial from the prior one. The factorial of any number is that number times 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

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 equal to 1. So, 0! = 1.

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