What is 68 factorial ?

Steps to calculate factorial of 68

How to calculate the factorial of 68

To find 68 factorial, or 68!, simply use the formula that multiplies the number 68 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Sixty-eight :

  68! is exactly : 2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000

  Factorial of 68 can be calculated as:
68! = 68 x 67 x 66 x 65 x ... x 3 x 2 x 1

  The number of trailing zeros in 68! is 16

  The number of digits in 68 factorial is 97.

What Is Factorial?

A factorial is represented by an integer and an exclamation symbol. In math concepts, 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 items can be arranged .

Factorial Formula

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

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

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

We can also calculate 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 :
68! Factorial = 68 x 67 x 66 x 65 x ... x 3 x 2 x 1 = 68 × 67! = 2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000

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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