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 symbolized by an integer and an exclamation symbol. In math concepts, factorial is a multiplication treatment 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 get the "n" way pieces can be organized .

Factorial Formula

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

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

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

We can also determine 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 :
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"