What is 67 factorial ?

Steps to calculate factorial of 67

How to calculate the factorial of 67

To find 67 factorial, or 67!, simply use the formula that multiplies the number 67 by all positive whole numbers less than it.

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

  67! is exactly : 36471110918188685288249859096605464427167635314049524593701628500267962436943872000000000000000

  Factorial of 67 can be calculated as:
67! = 67 x 66 x 65 x 64 x ... x 3 x 2 x 1

  The number of trailing zeros in 67! is 16

  The number of digits in 67 factorial is 95.

What Is Factorial?

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

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

Symbolically, it is listed as "!".

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

Factorial Formula

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

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

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

We can also work out 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 :
67! Factorial = 67 x 66 x 65 x 64 x ... x 3 x 2 x 1 = 67 × 66! = 36471110918188685288249859096605464427167635314049524593701628500267962436943872000000000000000

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 number factorials are undefined

What Is 0!

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

Other conversions of the number 67