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.
Factorials of Numbers similar to 7
What Is Factorial?
A factorial is symbolized by an integer and an exclamation symbol. In Mathematics, factorial is a multiplication operation of natural numbers .
It multiplies the number by every organic 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 structured .
Factorial Formula
To find the factorial of any given number, substitute the exact 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 multiplied collectively to get the factorial of the number.
We can also determine 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 :
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
Can we have factorials for negative numbers ?
Negative integer factorials are undefined
What Is 0!
Zero factorial or Factorial of 0 is simple, and its own value is corresponding to 1. So, 0! = 1.