What is 97 factorial ?

Steps to calculate factorial of 97

How to calculate the factorial of 97

To find 97 factorial, or 97!, simply use the formula that multiplies the number 97 by all positive whole numbers less than it.

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

  97! is exactly : 96192759682482119853328425949563698712343813919172976158104477319333745612481875498805879175589072651261284189679678167647067832320000000000000000000000

  Factorial of 97 can be calculated as:
97! = 97 x 96 x 95 x 94 x ... x 3 x 2 x 1

  The number of trailing zeros in 97! is 23

  The number of digits in 97 factorial is 152.

What Is Factorial?

A factorial is represented by an integer and an exclamation symbol. In Mathematics, factorial is a multiplication process of natural numbers .

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

Symbolically, it is displayed as "!".

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

Factorial Formula

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

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

The expansion of the formula provides the numbers to be multiplied collectively to have the factorial of the number.

We can also work out 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 :
97! Factorial = 97 x 96 x 95 x 94 x ... x 3 x 2 x 1 = 97 × 96! = 96192759682482119853328425949563698712343813919172976158104477319333745612481875498805879175589072651261284189679678167647067832320000000000000000000000

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 equal to 1. So, 0! = 1.

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