How to calculate the factorial of 15
To find 15 factorial, or 15!, simply use the formula that multiplies the number 15 by all positive whole numbers less than it.
Let's look at how to calculate the Factorial of Fifteen :
15! is exactly : 1307674368000
Factorial of 15 can be calculated as:
15! = 15 x 14 x 13 x 12 x ... x 3 x 2 x 1
The number of trailing zeros in 15! is 3
The number of digits in 15 factorial is 13.
Factorials of Numbers similar to 15
What Is Factorial?
A factorial is symbolized by an integer and an exclamation tag. 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 objects can be arranged .
Factorial Formula
To find the factorial of any given number, change the value for n in the given rule :
n! = n × (n-1) × (n-2) × (n-3) × ….× 3 × 2 × 1
The expansion of the formula provides numbers to be replicated together with each other to find the factorial of the number.
We can also measure a factorial from the previous one. The factorial of any number is that number replicated the factorial of (that number minus 1).
So the rule is : n! = n × (n−1)!
Example :
15! Factorial =
15 x 14 x 13 x 12 x ... x 3 x 2 x 1 =
15 × 14! =
1307674368000
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 own value is equal to 1. So, 0! = 1.