What is 84 factorial ?

Steps to calculate factorial of 84

How to calculate the factorial of 84

To find 84 factorial, or 84!, simply use the formula that multiplies the number 84 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Eighty-four :

  84! is exactly : 3314240134565353266999387579130131288000666286242049487118846032383059131291716864129885722968716753156177920000000000000000000

  Factorial of 84 can be calculated as:
84! = 84 x 83 x 82 x 81 x ... x 3 x 2 x 1

  The number of trailing zeros in 84! is 20

  The number of digits in 84 factorial is 127.

What Is Factorial?

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

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

Symbolically, it is represented as "!".

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

Factorial Formula

To find the factorial of any given number, change the exact value for n in the given method :

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 figure out a factorial from the previous 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 :
84! Factorial = 84 x 83 x 82 x 81 x ... x 3 x 2 x 1 = 84 × 83! = 3314240134565353266999387579130131288000666286242049487118846032383059131291716864129885722968716753156177920000000000000000000

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 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.

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