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 symbolized by an integer and an exclamation mark. In math concepts, factorial is a multiplication treatment of natural numbers .

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

Symbolically, it is displayed as "!".

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

Factorial Formula

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

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

The expansion of the formula shows the numbers to be multiplied at the same time to find 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 :
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"

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.

Other conversions of the number 14