Factorial Calculator(n!) - Best free Online Factorial Calculator. Easiest Way to get the Factorial of the number.
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What is Factorial ?
In mathematical concept, the end product of given postive(+) integers(n) or number is called as factorial of that number which is denoted by "n!". Factorial is also called as the end product of an integer and all the integers falling under it. For example : The factorial of Number 3 (3!) is equals to 6 (3 x 2 x 1= 6). Factorial calculations are occured in many areas of maths just like in case of mathematical analysis, algebra, combinatorics etc. Earlier in 12th century 'Indian Scholars' started using the trend of factorial calculations for counting permutations. In 1808 one of the well-known french mathematician Christian Kramp introduced the notation of 'n!' for factorial. The basic formula for defining the factorial function is : n! = 1.2.3...(n-2).(n-1).n i.e for example 5! = 5 x 4 x 3 x 2 x 1 = 120.
How to use Factorial Calculator ?
It is very simple to use this factorial calculator. You just have to enter the number in the factorial calculator in the first box and just press the 'calculate' button. Your result i.e the factorial of given number will be displayed in the second box.
Basic Factorial Calculation Problems
Factorial Problem no 1
Q. A deck of playing cards has 13 hearts. There are how many ways with which these 13 hearts can be arranged ?
Solution :
The solution of this factorial problem is very easy. It involves calculating the factorial. As we want to know how these 13 cards of heart can be arranged, we need to calculate the value of 13 factorial ( 13! ).
13!= 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 6,227,020,800
Note : These calculations can be time consuming by solving with just pen and paper. So you can just head upto above factorial calculator and just get your answer within blinking your eye.
Factorial Problem no 2
Q. There are how many different ways with which the letters in the word 'background' can be arranged ?
Solution :
For solving this problem, we just have to take the number of letters in the given word and find the factorial of that number. In these problem all the letters in the given word are unique and non-repeated. Therefore total number of letters in the given word are 10, so we have to find the factorial of number 10.
10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3.6288 E+6.
Factorial Problem no 3
Q. 8! x 5!
Solution :
Now in this problem to get the solution, we have to multiply the factorial of 8 with the factorial of 5.
Factorial of 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
Factorial of 5! = 5 x 4 x 3 x 2 x 1 = 120
40320 x 120 = 4838400
Factorial Problem no 4
Q. 7! / 6!
Solution :
Now in this problem to get the solution, we have to divide the factorial of 7 with the factorial of 6.
Factorial of 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
Factorial of 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
5040 / 720 = 7
Number | Factorial |
1! | 1 |
2! | 2 |
3! | 6 |
4! | 24 |
5! | 120 |
6! | 720 |
7! | 5040 |
8! | 40320 |
9! | 362880 |
10! | 3628800 |