What is 12 factorial ?

Steps to calculate factorial of 12

How to calculate the factorial of 12

To find 12 factorial, or 12!, simply use the formula that multiplies the number 12 by all positive whole numbers less than it.

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

  12! is exactly : 479001600

  Factorial of 12 can be calculated as:
12! = 12 x 11 x 10 x 9 x ... x 3 x 2 x 1

  The number of trailing zeros in 12! is 2

  The number of digits in 12 factorial is 9.

What Is Factorial?

A factorial is showed by an integer and an exclamation tag. In Mathematics, factorial is a multiplication procedure 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 things can be arranged .

Factorial Formula

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

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

The expansion of the formula gives the numbers to be replicated to each other to find the factorial of the number.

We can also work out 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 :
12! Factorial = 12 x 11 x 10 x 9 x ... x 3 x 2 x 1 = 12 × 11! = 479001600

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

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