What is 15 factorial ?

Steps to calculate factorial of 15

How to calculate the factorial of 15

To find 15 factorial, or 15!, simply use the formula that multiplies the number 15 by all positive whole numbers less than it.

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

  15! is exactly : 1307674368000

  Factorial of 15 can be calculated as:
15! = 15 x 14 x 13 x 12 x ... x 3 x 2 x 1

  The number of trailing zeros in 15! is 3

  The number of digits in 15 factorial is 13.

What Is Factorial?

A factorial is displayed by an integer and an exclamation tag. In arithmetic, factorial is a multiplication function 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 positioned .

Factorial Formula

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

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 measure a factorial from the prior 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 :
15! Factorial = 15 x 14 x 13 x 12 x ... x 3 x 2 x 1 = 15 × 14! = 1307674368000

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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