What is 8 factorial ?

Steps to calculate factorial of 8

How to calculate the factorial of 8

To find 8 factorial, or 8!, simply use the formula that multiplies the number 8 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Eight :

8! is exactly : 40320

Factorial of 8 can be calculated as:
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

The number of trailing zeros in 8! is 1

The number of digits in 8 factorial is 5.

What Is Factorial?

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

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

Symbolically, it is displayed as "!".

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

Factorial Formula

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

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

The expansion of the formula gives the numbers to be replicated together to find the factorial of the number.

We can also figure 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 :
8! Factorial = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 8 × 7! = 40320

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"