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 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 .

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

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"

97 in French

97 in English

Factors of 97