What is 72 factorial ?

Steps to calculate factorial of 72

How to calculate the factorial of 72

To find 72 factorial, or 72!, simply use the formula that multiplies the number 72 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Seventy-two :

  72! is exactly : 61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000

  Factorial of 72 can be calculated as:
72! = 72 x 71 x 70 x 69 x ... x 3 x 2 x 1

  The number of trailing zeros in 72! is 17

  The number of digits in 72 factorial is 104.

What Is Factorial?

A factorial is symbolized by an integer and an exclamation symbol. In arithmetic, factorial is a multiplication procedure 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 get the "n" way things can be organized .

Factorial Formula

To find the factorial of any given number, substitute 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 multiplied with each other to get the factorial of the number.

We can also determine a factorial from the prior 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 :
72! Factorial = 72 x 71 x 70 x 69 x ... x 3 x 2 x 1 = 72 × 71! = 61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000

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 own value is corresponding to 1. So, 0! = 1.

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