Factorial Calculator

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RESULTS

Fill the calculator form and click on Calculate button to get result here
Number 1
Factorial
Equation click on equation to select
Number 2
Factorial
Equation click on equation to select
Total:

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What is a Factorial?

These are two major questions that the students need to answer when they are dealing with this topic. In generic terms, if there is a number “n”, its factorial would be a product of all the numbers which have a value of less than or equal to “n”. Consider an example where the value of n is 4. Thus, the factorial of 4 would be given as.

As “n” = 4, n! is given as

\(4\times3\times2\times1\)

\(n! = 24\)

How to use the Factorial Calculator

Our advanced factorial calculator stands out in every aspect of the scientific calculator to find the factorial of a number. It is easy to use and the accuracy of results is not compromised in any manner. Here are the steps you have to perform to use this tool and determine factorial.

1-Input and Output for Single Number Factorial

To start with, enter the first number for which you have to calculate the factorial. Consider that you want to calculate the factorial of 6. Once you have entered the number, click the calculate button and you would see the output on the right side of the screen. In the outputs section, you would see two parts. The first would show you the answer. For instance, in this case, you are calculating the factorial of 6 so the answer would be 720. Now, a lot of people would want to see how the answer was calculated. This is where the second section comes into play. This part shows you how the answer was calculated. In this case, the value of 6! Is given as.

\(6\times5\times4\times3\times2\times1 = 720\)

2-The Advanced Option for Factorial of Multiple Numbers

When you click the tab titled “advanced factorial option”, a drop-down menu would appear. This is where you have to provide information for the second number. First of all, select the mathematical operation which has to be performed. You can choose from subtraction, addition, division, and multiplication with this factorial calculator. After that, enter the second number for which the operation has to be completed. Consider that it is “4” in this case. Along with that, let us reconsider the first number as 6 and opt for the subtraction option.

In mathematical terms, this option would be \(6! - 4!\)

3- Outputs of Factorial Expression Calculator

The outputs would be shown to you after you have clicked the “calculate” button. In the first row, the factorial of the first number and its calculation process would be shown. In this case, it would be 6! which carries a value of 720. The second portion would show how it was determined.

\(6! = 6\times5\times4\times3\times2\times1 = 720\)

In the second row, the factorial of the second number would be shown along with its calculation process. In this example, the second number is 4. Thus, its factorial process would be

\(4\times3\times2\times1 = 24\)

The last row would show the result of the mathematical operation.

In this case, it would be \(6! - 4!\)

Formula of Advanced Factorial Calculator

The formula of factorial has a simple logic behind it. For instance, consider that you have a number “b”, how would the factorial of this number be determined? It would be given.

b! = b (b-1) (b-2)………

If you have a look at the implementation of the formula of the factorial calculator, it explains that the factorial of a number is a product of all the numbers that are less than or equal to it.

How to Calculate Factorial?

Let's suppose to find the factorial of 10.

\(10! = 10\times9\times8\times7\times6\times5\times4\times3\times2\times1\)

\(10! = 3628800\)

Similarly, if you want to determine the factorial of 8, the value would be

\(8\times7\times6\times5\times4\times3\times2\times1\)

\(8! = 40320\)

What is the Factorial of Zero

Normally, people have a lot of confusion about what the factorial of 0 is.

Consider that you have a number “n” and its factorial has to be determined. The factorial would be given.

\(n! = n(n-1)!\)

Consider that \(n = 1\) and insert this value in the formula given above to find the factorial of 0.

\((n-1)! = \dfrac{n!}{n}\)

\((1-1)! = \dfrac{1!}{1}\)

\(0! = 1\)

Analysis of results and formula used by factorial expression calculator.

If you have a glance at the formula mentioned above of the advanced factorial calculator, the value of 0! Is 1. This series of calculations basically shows how the value of 0! can be determined. In other words, the core logic is explained through this example.

Factorial Table/Chart for Some Other Solutions

 
11
22
36
424
5120
6720
75040
840320
9362880
103628800
1139916800
12479001600
136227020800
1487178291200
151307674368000
1620922789888000
17355687428096000
186402373705728000
19121645100408832000
202432902008176640000
21551090942171709440000
221124000727777607680000
2325852016738884976640000
24620448401733239439360000
2515511210043330985984000000
26403291461126605635584000000
2710888869450418352160768000000
28304888344611713860501504000000
298841761993739701954543616000000
30265252859812191058636308480000000
318222838654177922817725562880000000
32263130836933693530167218012160000000
338683317618811886495518194401280000000
34295232799039604140847618609643520000000
3510333147966386144929666651337523200000000
36371993326789901217467999448150835200000000
3713763753091226345046315979581580902400000000
38523022617466601111760007224100074291200000000
3920397882081197443358640281739902897356800000000
40815915283247897734345611269596115894272000000000
4133452526613163807108170062053440751665152000000000
421405006117752879898543142606244511569936384000000000
4360415263063373835637355132068513997507264512000000000
442658271574788448768043625811014615890319638528000000000
45119622220865480194561963161495657715064383733760000000000
465502622159812088949850305428800254892961651752960000000000
47258623241511168180642964355153611979969197632389120000000000
4812413915592536072670862289047373375038521486354677760000000000
49608281864034267560872252163321295376887552831379210240000000000
5030414093201713378043612608166064768844377641568960512000000000000

FAQ

What is (n+1) Factorial?

(n+1)! = (n+1)(n)(n−1)(n−2) …… (n−n+1)

What is the Factorial of 100?

Factorial (100) = 9.332622e+157

What is 5 Factorial?

5 × 4 × 3 × 2 × 1 = 120

Factorial of 5 = 120

What is 9 Factorial?

9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880

Factorial of 9 = 362,880

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