What is 34 factorial ?

Steps to calculate factorial of 34

How to calculate the factorial of 34

To find 34 factorial, or 34!, simply use the formula that multiplies the number 34 by all positive whole numbers less than it.

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

  34! is exactly : 295232799039604140847618609643520000000

  Factorial of 34 can be calculated as:
34! = 34 x 33 x 32 x 31 x ... x 3 x 2 x 1

  The number of trailing zeros in 34! is 8

  The number of digits in 34 factorial is 39.

What Is Factorial?

A factorial is displayed by an integer and an exclamation mark. In math concepts, factorial is a multiplication function of natural numbers .

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

Symbolically, it is represented as "!".

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

Factorial Formula

To find the factorial of any given number, substitute the value for n in the given equation :

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

The expansion of the formula provides the numbers to be multiplied collectively to have the factorial of the number.

We can also calculate a factorial from the previous one. The factorial of any number is that number replicated the factorial of (that number minus 1).

So the rule is : n! = n × (n−1)!

Example :
34! Factorial = 34 x 33 x 32 x 31 x ... x 3 x 2 x 1 = 34 × 33! = 295232799039604140847618609643520000000

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 integer factorials are undefined

What Is 0!

 Zero factorial or Factorial of 0 is simple, and its value is corresponding to 1. So, 0! = 1.

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