What is 22 factorial ?

Steps to calculate factorial of 22

How to calculate the factorial of 22

To find 22 factorial, or 22!, simply use the formula that multiplies the number 22 by all positive whole numbers less than it.

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

  22! is exactly : 1124000727777607680000

  Factorial of 22 can be calculated as:
22! = 22 x 21 x 20 x 19 x ... x 3 x 2 x 1

  The number of trailing zeros in 22! is 4

  The number of digits in 22 factorial is 22.

What Is Factorial?

A factorial is showed by an integer and an exclamation mark. In math concepts, factorial is a multiplication treatment of natural numbers .

It multiplies the number by every basic 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 positioned .

Factorial Formula

To find the factorial of any given number, alternate the value for n in the given formula :

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

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

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

So the rule is : n! = n × (n−1)!

Example :
22! Factorial = 22 x 21 x 20 x 19 x ... x 3 x 2 x 1 = 22 × 21! = 1124000727777607680000

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

Can we have factorials for negative numbers ?

  Negative integer factorials are undefined

What Is 0!

 Zero factorial or Factorial of 0 is simple, and its own value is equal to 1. So, 0! = 1.

Other conversions of the number 22