How to calculate the factorial of 38
To find 38 factorial, or 38!, simply use the formula that multiplies the number 38 by all positive whole numbers less than it.
Let's look at how to calculate the Factorial of Thirty-eight :
38! is exactly : 523022617466601111760007224100074291200000000
Factorial of 38 can be calculated as:
38! = 38 x 37 x 36 x 35 x ... x 3 x 2 x 1
The number of trailing zeros in 38! is 9
The number of digits in 38 factorial is 45.
Factorials of Numbers similar to 38
What Is Factorial?
A factorial is showed by an integer and an exclamation symbol. In math concepts, factorial is a multiplication procedure of natural numbers .
It multiplies the number by every standard number that is less than it .
Symbolically, it is showed as "!".
The function is used, among other things, to find the "n" way pieces 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 gives the numbers to be replicated to each other to have the factorial of the number.
We can also work out a factorial from the prior 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 :
38! Factorial =
38 x 37 x 36 x 35 x ... x 3 x 2 x 1 =
38 × 37! =
523022617466601111760007224100074291200000000
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 number factorials are undefined
2) What Is 0!
Zero factorial or Factorial of 0 is simple,
and its
value is
equal to
1. So, 0! = 1.