Hello Friends, Today we are going to find the answer of what is the factorial of hundred. We will also try to find the answer of how factorial is calculated and what use of factorial is in real life. So friends let’s begin.
Table Of Contents
What is the Factorial of Hundred
First lets answer our original question of What is the Factorial of Hundred for the sake of our post.
100!=93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
i.e. 100!= 9.332621E+157.
What is Factorial
Factorial of an Integer is nothing but the multiplication of all the lesser integers together.
For example if we have to find the factorial of 4 (factorial 4 is written as 4!)
Then 4! Is 4*3*2*1=24
Similarly if we have to find the factorial of 10 (10!)
Then 10!= 10*9*8*7*6*5*4*3*2*1=3,628,800
Or in other word if we have to find the Factorial of an Integer N
Then N!=N*(N-1)*(N-2)*(N-3)*(N-4)*………..3*2*1
Now coming back to our original question that what is factorial of hundred, we can also say that N!=N*!(N-1). Means to find the factorial of any integer we can multiply that integer with the factorial of one lesser integer. Or in simpler words, factorial is the products of all consecutive integers.
You can also find more about factorial on https://en.wikipedia.org/wiki/Factorial
We will understand the same with few examples
Examples of Factorial
5!=5*4!= 5*4*3*2*1=120
Similarly 4!=4*3!=4*3*2*1=24
Hence 100!=100*99!
If someone as you what is the factorial of hundred you can write the answer as following-
100!=100*99*98*97*96*95*94*93*92*…………………..5*4*3*2*1
Hope you can now easily answer our original question that is What is the factorial of hundred or What is the factorial of 100
Origin of Factorial
Though many scholars have linked factorial with many cultures however one of the first one and probably the earliest known descriptions of factorial was found in Jain literature around the 300 BC.
Jain monk use factorials widely around 6th Century and during 11th Century, great ancient Indian mathematicians Bhāskara II also used factorials to describe various real world scenarios.
Factorial can also be found in the mathematical literature of Middle East during the era of 200 CE to 500 CE.
Pluto has used factorial during his era m however no further evidence can be found other than few examples.
Isn’t it amazing that the question What is the factorial of hundred is here since 300 BC … Be amazed with me 🙂
Use of Factorial
Earliest use of factorial was to calculate the permutations and combinations. Usage of Factorial is algebra was thought binomial theorem (Wikipedia ).
Factorial has his application in number theory as well. Sequential series and integration has also use of factorials.
However the most extensive use of Factorial can be found in probability theory.
Hence What is the factorial of hundred can be answered though many branches of mathematics.
FAQs of Factorial
Lets Discuss some questions that people generally ask on Factorial
How many zeros are the in the factorial of Hundred?
There are 24 Zeros in the Factorial of Hundred
How many zeros are the in the Factorial of Hundred?
There are 158 digits in the Factorial of Hundred.
What is the value of 0!
The value of 0! Is 1
Can we calculate the Factorial of fractions e.g. !(5.4)?
No, we can’t calculate the value of factorial of fractions, by definition factorial is the value of multiplying an integer with lesser possible integers.
Can we calculate the Factorial of negative numbers, How to calculate Factorial of a negative number?
No, we can’t calculate the value of factorial of negative numbers, by definition factorial is the value of multiplying an integer with lesser possible integers.
What is a Factorial of Hundred?
Value of Factorial of Hundred is 9.332621544 × 10^157.
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Hope this post is able to answer our original question that is What is the factorial of hundred. Also you would be able to answer many other questions associated with factorial. IF there is still any doubts left, feel free to drop a message.