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

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

Symbolically, it is represented as "!".

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

Factorial Formula

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

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

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

We can also determine a factorial from the previous 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 :
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

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 corresponding to 1. So, 0! = 1.

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