What is 5 factorial ?

Steps to calculate factorial of 5

How to calculate the factorial of 5

To find 5 factorial, or 5!, simply use the formula that multiplies the number 5 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Five :

  5! is exactly : 120

  Factorial of 5 can be calculated as:
5! = 5 x 4 x 3 x 2 x 1

  The number of trailing zeros in 5! is 1

  The number of digits in 5 factorial is 3.

What Is Factorial?

A factorial is symbolized by an integer and an exclamation tag. In math concepts, factorial is a multiplication process of natural numbers .

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

Symbolically, it is showed as "!".

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

Factorial Formula

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

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 find the factorial of the number.

We can also measure 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 :
5! Factorial = 5 x 4 x 3 x 2 x 1 = 5 × 4! = 120

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 equal to 1. So, 0! = 1.

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