What is 24 factorial ?

Steps to calculate factorial of 24

How to calculate the factorial of 24

To find 24 factorial, or 24!, simply use the formula that multiplies the number 24 by all positive whole numbers less than it.

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

  24! is exactly : 620448401733239439360000

  Factorial of 24 can be calculated as:
24! = 24 x 23 x 22 x 21 x ... x 3 x 2 x 1

  The number of trailing zeros in 24! is 4

  The number of digits in 24 factorial is 24.

What Is Factorial?

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

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

Symbolically, it is showed as "!".

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

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 shows the numbers to be multiplied together with each other to receive the factorial of the number.

We can also calculate 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 :
24! Factorial = 24 x 23 x 22 x 21 x ... x 3 x 2 x 1 = 24 × 23! = 620448401733239439360000

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 number factorials are undefined

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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