What is 17 factorial ?

Steps to calculate factorial of 17

How to calculate the factorial of 17

To find 17 factorial, or 17!, simply use the formula that multiplies the number 17 by all positive whole numbers less than it.

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

  17! is exactly : 355687428096000

  Factorial of 17 can be calculated as:
17! = 17 x 16 x 15 x 14 x ... x 3 x 2 x 1

  The number of trailing zeros in 17! is 3

  The number of digits in 17 factorial is 15.

What Is Factorial?

A factorial is displayed by an integer and an exclamation symbol. In arithmetic, factorial is a multiplication operation of natural numbers .

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

Symbolically, it is showed as "!".

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

Factorial Formula

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

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

The expansion of the formula provides numbers to be replicated together with each other to receive the factorial of the number.

We can also determine 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 :
17! Factorial = 17 x 16 x 15 x 14 x ... x 3 x 2 x 1 = 17 × 16! = 355687428096000

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 17