What is 14 factorial ?

Steps to calculate factorial of 14

How to calculate the factorial of 14

To find 14 factorial, or 14!, simply use the formula that multiplies the number 14 by all positive whole numbers less than it.

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

14! is exactly : 87178291200

Factorial of 14 can be calculated as:
14! = 14 x 13 x 12 x 11 x ... x 3 x 2 x 1

The number of trailing zeros in 14! is 2

The number of digits in 14 factorial is 11.

What Is Factorial?

A factorial is displayed by an integer and an exclamation mark. In math concepts, factorial is a multiplication operation of natural numbers .

It multiplies the number by every basic 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 determined .

Factorial Formula

To find the factorial of any given number, replace the exact value for n in the given formula :

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

The expansion of the formula provides the numbers to be replicated at the same time to get 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 :
14! Factorial = 14 x 13 x 12 x 11 x ... x 3 x 2 x 1 = 14 × 13! = 87178291200

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"