What is 100 Factorial?

The definition of factorial can be understood as a quantity for an integer ‘n’ which is either equal to or more than zero. To understand the meaning of factorial better it can be said that in Mathematics, factorial is the term which implies all those positive integers products that are equal to or less than a particular positive integer. Thus, one can denote a factorial through an integer and an exclamation point. With this, a basic understanding of the concept of factorial can be there. As we move forward, we shall focus in detail on the concept of factorial.

What is Factorial?

In mathematics, factorials can be commonly observed in the process of evaluation of combinations and permutations. To understand how a factorial is written, the following example can be taken that is with reference to factorial seven.

One can write factorial 7 as 7!

This implies, 1*2*3*4*5*6*7

Another example can be for factorial four, which is given below:

1*2*3*4 = 24 = 4!

Thus, with the help of these examples, the concept of factorial functions can be understood in a better way. Factorial zero can be explained as being equivalent to one.

Factorial of 100

Now, as we move forward, we shall focus on the step by step explanation for understanding how to calculate the factorial 100.

Firstly, as one can see that there are more than five whole numbers in the number hundred. Thus, with such a large number it can be crucial to focus on proper steps for finding the factorial.

The factorial formula can be depicted as –

n! = n*(n-1) *(n-2) *(n-3) ….3*2*1

Here, n is implying a natural number which is more than or equivalent to one. Thus, as observed from the above formula, if n is equal to zero then n! would be equal to one.

Through the means of the formula and using it for the calculation of factorial 100, it can be inferred that the factorial for 100 would be equivalent to 9.332621544 E + 157.

Thus, it can be said that

100! – 100*99*98*…… 3*2*1 = .332621544 E + 157

100! = 9.332621544 E + 157

With this, the factorial of 100 can be understood in a better way.

Also see: What Is Factorial Notation?

Table of factorials

Here, the table of factorials has been given for numbers from 1 to 20.

Thus, with the help of the above table one can learn about the factorials from all the numbers from 1 to 20.

Conclusion

As observed from the above sections, it can be concluded that the understanding of various significant topics of Mathematics has become clear. These topics include a detailed description of factorial, the factorial formula, factorial of 100 and some solved examples, for instance, the factorial of 7 and 4. It can be said that factorial is the term used for implying that function which multiplies a digit with every digit below the particular number. Thus, it can be concluded that with the help of the above sections, one can get a better understanding of factorials, using the factorial table one can also learn about the factorials for all the numbers from one to twenty, the formula for calculation of factorial and the factorial of hundred.

Other Important Topics:

• Ogive Curve
• Partition Values
• Normal Form of a Line
• Absolute Measure of Dispersion
• Additive Inverse Example