What is the factorial of hundred?
How to get the exact value for such mathematical problems?
Well, we have come up with all answers to your questions. Through this article, we will provide you with the exact value for the question “What is the factorial of hundred” or “What is the factorial of 100”.
We will also show you the complete procedure on “How to calculate the factorial of any number” So that you can calculate it on your own in the future.
Did you know…..? The number of digits in 100 factorial is 158.
So, let’s begin with the basics of the factorial
What is factorial in Mathematics
Factorial is a mathematical operator that calculates the product of all integers up to a certain number. It is written as an exclamation mark followed by the number and is usually pronounced “factorial of n.”
Factorial facts
- We can calculate the factorial of only positive numbers.
- The factorial of 0 is defined to be 1.
How Factorial is calculated?
For small numbers, we can calculate their factorials without the help of any calculator.
Let’s assume, we are calculating the factorial of 4 (4!), So how to do this?
It’s very simple, We just need to calculate the product of all integers up to the number we are calculating the factorial of. So, this gonna be like this: 4x3x2x1= 24.
We have demonstrated the process for calculating the factorial in a very simple way. And now the question is, What Is The Factorial of Hundred? Or How to calculate the factorial of such big numbers?
Well, to calculate the factorial of hundred or such big integers, we can simply use any scientific calculator, also we can use the formula for this.
Factorial Formula
n! = n(n – 1)!
n! = n × (n-1) × (n-2) × (n-3) × …× 3 × 2 × 1
Where n is the Product of the first n positive integers.
Confused?
Let us explain this with an example.
Factorial example
Let’s calculate the factorial of 8 with the formula.
So, here n=8
8! =?
Let’s use the formula,
n! = n × (n-1) × (n-2) × (n-3) × …× 3 × 2 × 1
=8x(8-1)x(8-2)x(8-3)x(8-4)x(8-5)x(8-6)x(8-7)
=8x7x6x5x4x3x2x1
=40320
8!=40320
What Is The Factorial Of Hundred – Step by Step Explanation
The factorial of 100 (100!) = ?
n=100
Using formula,
n! = n × (n – 1) × (n – 2) × (n – 3) × … … × 1
100! = 100 × (100 – 1) × (100 – 2) × (100 – 3) × (100 – 4) × (100 – 5) × … … × 1
= 100 × 99 × 98 × 97 × 96 × 95 × … … × 1
→ The factorial of hundred is = 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
We can also say, the exact value for the factorial of hundred is: 9.3326215443944E+157
Calculator To Get The Exact Value For Factorial Of Any Numbers
As we have already mentioned that, “The number of digits in 100 factorial is 158”, Now how do you get the exact value, if your calculator shows up only 12 digits?
Well, to do this, you can simply use an online calculator or tools. There are plenty of tools available on the internet that can fulfil your desire.
One of the easiest methods to find the factorial of any numbers is “Google Search”.
If you search on google with the term “What is the factorial of hundred” or “What is the factorial of 100”, You will see there a calculator with the result you are looking for.
Likewise, you can find the value for any number.
This was all about factorial. We have tried our best to explain this in a very simple manner so that you can easily be understood the factorial. We believed that we have answered your question: “What is the factorial of hundred”. Using the simple method provided in the article above, you can calculate the factorial of any number easily.
