What is the Factorial of Hundred

‘What is the Factorial of Hundred’ or ‘what is the factorial of 100’ is one the most asked questions on the internet, students often search for the answer to these questions. The answer to the question ‘what is the factorial of 100’ will be explained below. Here is a short overview of the article:

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  • What is a factorial?
  • Factorial of the First 10 Natural Numbers
  • What is the factorial of 100?
  • Importance of the Factorial of 100

What is a Factorial?

A factorial is a number that is obtained as a result of multiplying the set of numbers that lead up to that number. For example, the factorial of 4 is 4x3x2x1 = 24. It is denoted by an exclamation mark at the end of the largest number that the factorial is multiplied up to. In the above example, it would be 4!

Factorial of the First 10 Natural Numbers

Given below are the factorials of the first 10 natural numbers:

NUMBERNOTATIONCALCULATIONVALUE
11!11
22!2×12
33!3x2x16
44!4x3x2x124
55!5x4x3x2x1120
66!6x5x4x3x2x1720
77!7x6x5x4x3x2x15040
88!8x7x6x5x4x3x2x140320
99!9x8x7x6x5x4x3x2x1362880
1010!10x9x8x7x6x5x4x3x2x13628800
Factorial of the First 10 Natural Numbers

What is the Factorial of 100?

So what is the factorial of Hundred? The exact answer to that question is given below:

93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000

This number is the answer to the question what is the factorial of 100. The number is often represented as an exponential and is written as  9.3326215443944E+157. This approximation is necessary because the human brain does not like big numbers. After a certain point, large numbers do not exactly mean anything to us. In this case, the number of digits in the factorial of hundred is 158. The number of trailing zeros in the factorial of 100 is 24. 

Importance of the Factorial of 100

Before discussing the answer sheet to whether or not the value of the factorial of 100 means anything, let us look at some large numbers that do – 

Number of species on Planet Earth8.7 x 106 
Number of Stars in the Milky Way Galaxy1011 
Number of Cells in the Human Body3.72 x 1014
Number of Atoms on the Earth1.33 x 1050
Number of particles in the known universe 3.28 x 1080
Approx. Values of Large Values

The factorial of hundred is literally larger than the estimated number of subatomic particles in the observable universe. It is even larger than a Googol, a theoretical number that is composed of 1 followed by 100 zeroes. So, it is safe to say that other than being a stunningly large number, the factorial of 100 does not play a significant role in mathematics – or anything for that matter.

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