What is 82 factorial ?

Steps to calculate factorial of 82

How to calculate the factorial of 82

To find 82 factorial, or 82!, simply use the formula that multiplies the number 82 by all positive whole numbers less than it.

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

  82! is exactly : 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000

  Factorial of 82 can be calculated as:
82! = 82 x 81 x 80 x 79 x ... x 3 x 2 x 1

  The number of trailing zeros in 82! is 19

  The number of digits in 82 factorial is 123.

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 natural number that is less than it .

Symbolically, it is listed as "!".

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

Factorial Formula

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

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

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

We can also work out a factorial from the prior one. The factorial of any number is that number times the factorial of (that number minus 1).

So the rule is : n! = n × (n−1)!

Example :
82! Factorial = 82 x 81 x 80 x 79 x ... x 3 x 2 x 1 = 82 × 81! = 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000

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 number factorials are undefined

2) 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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