What is 13 factorial ?

Steps to calculate factorial of 13

How to calculate the factorial of 13

To find 13 factorial, or 13!, simply use the formula that multiplies the number 13 by all positive whole numbers less than it.

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

  13! is exactly : 6227020800

  Factorial of 13 can be calculated as:
13! = 13 x 12 x 11 x 10 x ... x 3 x 2 x 1

  The number of trailing zeros in 13! is 2

  The number of digits in 13 factorial is 10.

What Is Factorial?

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

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

Symbolically, it is symbolized as "!".

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

Factorial Formula

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

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

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

We can also work out a factorial from the prior 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 :
13! Factorial = 13 x 12 x 11 x 10 x ... x 3 x 2 x 1 = 13 × 12! = 6227020800

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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