What is 19 factorial ?

Steps to calculate factorial of 19

How to calculate the factorial of 19

To find 19 factorial, or 19!, simply use the formula that multiplies the number 19 by all positive whole numbers less than it.

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

  19! is exactly : 121645100408832000

  Factorial of 19 can be calculated as:
19! = 19 x 18 x 17 x 16 x ... x 3 x 2 x 1

  The number of trailing zeros in 19! is 3

  The number of digits in 19 factorial is 18.

What Is Factorial?

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

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

Symbolically, it is represented as "!".

The function is used, among other things, to get the "n" way objects can be structured .

Factorial Formula

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

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

The expansion of the formula provides the numbers to be multiplied collectively 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 :
19! Factorial = 19 x 18 x 17 x 16 x ... x 3 x 2 x 1 = 19 × 18! = 121645100408832000

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

Other conversions of the number 19