How to calculate the factorial of 20
To find 20 factorial, or 20!, simply use the formula that multiplies the number 20 by all positive whole numbers less than it.
Let's look at how to calculate the Factorial of Twenty :
20! is exactly : 2432902008176640000
Factorial of 20 can be calculated as:
20! = 20 x 19 x 18 x 17 x ... x 3 x 2 x 1
The number of trailing zeros in 20! is 4
The number of digits in 20 factorial is 19.
Factorials of Numbers similar to 20
What Is Factorial?
A factorial is displayed by an integer and an exclamation symbol. In Mathematics, factorial is a multiplication treatment of natural numbers .
It multiplies the number by every basic number that is less than it .
Symbolically, it is listed as "!".
The function is used, among other things, to get the "n" way items can be organized .
Factorial Formula
To find the factorial of any given number, alternate the value for n in the given rule :
n! = n × (n-1) × (n-2) × (n-3) × ….× 3 × 2 × 1
The expansion of the formula shows the numbers to be multiplied together with each other to receive the factorial of the number.
We can also work out 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 :
20! Factorial =
20 x 19 x 18 x 17 x ... x 3 x 2 x 1 =
20 × 19! =
2432902008176640000
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.