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Factorial of 10 is 3628800 | What is a factorial of 10 ?
How to calculate the factorial of 10
Lets check the detailed answer
10! is exactly: 3628800
The number of trailing zeros in 10! is 2.
The number of digits in 10 factorial is 7.
The factorial of 10 is 3628800 calculated, through its definition, this way:
10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1What is factorial of 10?
Definition of factorial of 10
The factorial is a basically a quantity which is defined for integer value 10 which is greater than or equal to 0.
The factorial is nothing but the product of all intergers which is less than or equal to n but it is greater than or equal to 1. By definition we can say that the factorial value of 0 is equal to 1. We can not have negative integers factorial as defined. We can see that factorial is the result of multiplying a sequence of descending natural numbers. We can say that factorial of 10 is calculated as 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1
Factorial Formula for 10
For 10 is natural number which is greater than or equal to 1. Then we can have the formula as
10! = 10 x (10-1) X (10-2) X (10-3) X (10-4) X (10-5) X (10-6) X (10-7) X (10-8) X (10-9) X (10-10) ..... 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1
Simalar Questions asked in exam for factorial of 10 :-
- Check How many digits are there in 10 factorial?
- What is the factorial of 10?
- How many trailing zeros are in 10 factorial?
- What is the last digits of factorial of 10?
Table for factorial of 1 to 10
| # | Factorial of | Factorial is |
|---|---|---|
| 1 | 1 | 1 |
| 2 | 2 | 2 |
| 3 | 3 | 6 |
| 4 | 4 | 24 |
| 5 | 5 | 120 |
| 6 | 6 | 720 |
| 7 | 7 | 5040 |
| 8 | 8 | 40320 |
| 9 | 9 | 362880 |
| 10 | 10 | 3628800 |
Factorial examples
Example 1:-
What is the factorial of 11?Solution :-
We know that factorial formula for 11 is11! = 11 × (11-1) X (11-2) X (11-3) X (11-4) X (11-5) X (11-6) X (11-7) X (11-8) X (11-9) X (11-10) X (11-11) ..... 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1
So the factorial of 11 is
11! = 11 X (11-1) X (11-2) X (11-3) X (11-4) X (11-5) X (11-6) X (11-7) X (11-8) X (11-9) X (11-10) X (11-11)
11! = 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1
11! = 39916800
Example 2:-
What is the factorial of 12?Solution :-
We know that factorial formula for 11 is12! = 12 × (12-1) X (12-2) X (12-3) X (12-4) X (12-5) X (12-6) X (12-7) X (12-8) X (12-9) X (12-10) X (12-11) X (12-12) ..... 12 X 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1
So the factorial of 12 is
12! = 12 X (12-1) X (12-2) X (12-3) X (12-4) X (12-5) X (12-6) X (12-7) X (12-8) X (12-9) X (12-10) X (12-11) X (12-12)
12! = 12 X 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1
12! = 479001600
Example 3:-
What is the factorial of 13?Solution :-
We know that factorial formula for 13 is13! = 13 × (13-1) X (13-2) X (13-3) X (13-4) X (13-5) X (13-6) X (13-7) X (13-8) X (13-9) X (13-10) X (13-11) X (13-12) X (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
So the factorial of 13 is
13! = 13 X (13-1) X (13-2) X (13-3) X (13-4) X (13-5) X (13-6) X (13-7) X (13-8) X (13-9) X (13-10) X (13-11) X (13-12) X (13-13)
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
13! = 6227020800
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 10?
Click here for detailed step by step calculation for factorial of 10.
Check How many digits are there in 10 factorial?
The number of number of digits in 10 factorial is 7.
What is the meaning of 10 factorial?
What is the symbol of factorial?
The symbol for factorial is ! (exclamation mark).
What is the factorial of 0?
The value of factorial of 0 is 1, i.e. 0! = 1.
What is the factorial of 9?
The value of factorial of 9 is 362880.
What is the factorial of 13?
The value of factorial of 13 is 6227020800.
What is the factorial of 12?
The value of factorial of 12 is 479001600.