How to calculate the factorial of 64
To find 64 factorial, or 64!, simply use the formula that multiplies the number 64 by all positive whole numbers less than it.
Let's look at how to calculate the Factorial of Sixty-four :
64! is exactly : 126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000
Factorial of 64 can be calculated as:
64! = 64 x 63 x 62 x 61 x ... x 3 x 2 x 1
The number of trailing zeros in 64! is 15
The number of digits in 64 factorial is 90.
Factorials of Numbers similar to 64
What Is Factorial?
A factorial is represented by an integer and an exclamation mark. In math concepts, factorial is a multiplication function of natural numbers .
It multiplies the number by every organic number that is less than it .
Symbolically, it is listed as "!".
The function is used, among other things, to find the "n" way things can be positioned .
Factorial Formula
To find the factorial of any given number, substitute the exact value for n in the given solution :
n! = n × (n-1) × (n-2) × (n-3) × ….× 3 × 2 × 1
The expansion of the formula shows the numbers to be replicated to each other to receive the factorial of the number.
We can also calculate 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 :
64! Factorial =
64 x 63 x 62 x 61 x ... x 3 x 2 x 1 =
64 × 63! =
126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000
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 value is corresponding to 1. So, 0! = 1.