How to calculate the factorial of 61
To find 61 factorial, or 61!, simply use the formula that multiplies the number 61 by all positive whole numbers less than it.
Let's look at how to calculate the Factorial of Sixty-one :
61! is exactly : 507580213877224798800856812176625227226004528988036003099405939480985600000000000000
Factorial of 61 can be calculated as:
61! = 61 x 60 x 59 x 58 x ... x 3 x 2 x 1
The number of trailing zeros in 61! is 14
The number of digits in 61 factorial is 84.
Factorials of Numbers similar to 61
What Is Factorial?
A factorial is displayed by an integer and an exclamation symbol. In math concepts, factorial is a multiplication treatment of natural numbers .
It multiplies the number by every basic number that is less than it .
Symbolically, it is displayed as "!".
The function is used, among other things, to find the "n" way elements can be organized .
To find the factorial of any given number, exchange the value for n in the given formula :
n! = n × (n-1) × (n-2) × (n-3) × ….× 3 × 2 × 1
The expansion of the formula provides the numbers to be multiplied together with each other to find the factorial of the number.
We can also measure 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)!
61! Factorial = 61 x 60 x 59 x 58 x ... x 3 x 2 x 1 = 61 × 60! = 507580213877224798800856812176625227226004528988036003099405939480985600000000000000
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 integer factorials are undefined
2) What Is 0!
Zero factorial or Factorial of 0 is simple, and its own value is corresponding to 1. So, 0! = 1.