What is 97 factorial ?

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.

• 93 Factorial
• 94 Factorial
• 95 Factorial
• 96 Factorial
• Factorial of 98
• Factorial of 99
• Factorial of 100

A factorial is represented by an integer and an exclamation mark. In math concepts, factorial is a multiplication operation of natural numbers .

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

Symbolically, it is showed as "!".

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

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

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

The expansion of the formula provides the numbers to be replicated with each other to get the factorial of the number.

We can also determine a factorial from the previous 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 :
97! Factorial = 97 x 96 x 95 x 94 x ... x 3 x 2 x 1 = 97 × 96! = 96192759682482119853328425949563698712343813919172976158104477319333745612481875498805879175589072651261284189679678167647067832320000000000000000000000

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"

1) Can we have factorials for negative numbers ?
  Negative integer 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.

97 in French

97 in English

Factors of 97