What is 23 factorial ?

Steps to calculate factorial of 23

How to calculate the factorial of 23

To find 23 factorial, or 23!, simply use the formula that multiplies the number 23 by all positive whole numbers less than it.

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

  23! is exactly : 25852016738884976640000

  Factorial of 23 can be calculated as:
23! = 23 x 22 x 21 x 20 x ... x 3 x 2 x 1

  The number of trailing zeros in 23! is 4

  The number of digits in 23 factorial is 23.

What Is Factorial?

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

It multiplies the number by every standard 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 established .

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 numbers to be multiplied collectively to have the factorial of the number.

We can also work out a factorial from the previous 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 :
23! Factorial = 23 x 22 x 21 x 20 x ... x 3 x 2 x 1 = 23 × 22! = 25852016738884976640000

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 value is equal to 1. So, 0! = 1.

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