What is 30 factorial ?

Steps to calculate factorial of 30

How to calculate the factorial of 30

To find 30 factorial, or 30!, simply use the formula that multiplies the number 30 by all positive whole numbers less than it.

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

  30! is exactly : 265252859812191058636308480000000

  Factorial of 30 can be calculated as:
30! = 30 x 29 x 28 x 27 x ... x 3 x 2 x 1

  The number of trailing zeros in 30! is 7

  The number of digits in 30 factorial is 33.

What Is Factorial?

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

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

Symbolically, it is listed as "!".

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

Factorial Formula

To find the factorial of any given number, change 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 together to have 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 :
30! Factorial = 30 x 29 x 28 x 27 x ... x 3 x 2 x 1 = 30 × 29! = 265252859812191058636308480000000

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.

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