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 represented by an integer and an exclamation mark. In Mathematics, factorial is a multiplication operation of natural numbers .

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

Symbolically, it is represented as "!".

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

Factorial Formula

To find the factorial of any given number, exchange the value for n in the given formula :

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 measure a factorial from the prior 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 :
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

1) Can we have factorials for negative numbers ?
  Negative integer factorials are undefined

2) What Is 0!
 Zero factorial or Factorial of 0 is simple, and its own value is equal to 1. So, 0! = 1.

Other conversions of the number 67