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 showed by an integer and an exclamation tag. In math concepts, factorial is a multiplication treatment of natural numbers .

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

Symbolically, it is symbolized as "!".

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

Factorial Formula

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

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

The expansion of the formula shows the numbers to be multiplied at the same time to have the factorial of the number.

We can also figure out a factorial from the previous 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

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

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