What is 7 factorial ?

Steps to calculate factorial of 7

How to calculate the factorial of 7

To find 7 factorial, or 7!, simply use the formula that multiplies the number 7 by all positive whole numbers less than it.

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

  7! is exactly : 5040

  Factorial of 7 can be calculated as:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1

  The number of trailing zeros in 7! is 1

  The number of digits in 7 factorial is 4.

What Is Factorial?

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

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

Symbolically, it is showed as "!".

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

Factorial Formula

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

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

The expansion of the formula provides the numbers to be replicated together with each other to obtain 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 :
7! Factorial = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 7 × 6! = 5040

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.

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