What is 96 factorial ?

Steps to calculate factorial of 96

How to calculate the factorial of 96

To find 96 factorial, or 96!, simply use the formula that multiplies the number 96 by all positive whole numbers less than it.

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

  96! is exactly : 991677934870949689209571401541893801158183648651267795444376054838492222809091499987689476037000748982075094738965754305639874560000000000000000000000

  Factorial of 96 can be calculated as:
96! = 96 x 95 x 94 x 93 x ... x 3 x 2 x 1

  The number of trailing zeros in 96! is 23

  The number of digits in 96 factorial is 150.

What Is Factorial?

A factorial is showed by an integer and an exclamation tag. In math concepts, factorial is a multiplication procedure of natural numbers .

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

Symbolically, it is listed as "!".

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

Factorial Formula

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

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

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

We can also calculate a factorial from the prior 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 :
96! Factorial = 96 x 95 x 94 x 93 x ... x 3 x 2 x 1 = 96 × 95! = 991677934870949689209571401541893801158183648651267795444376054838492222809091499987689476037000748982075094738965754305639874560000000000000000000000

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 integer factorials are undefined

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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