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Factorial of 15 is 1307674368000 | What is a factorial of 15 ?
How to calculate the factorial of 15
Lets check the detailed answer
15! is exactly: 1307674368000
The number of trailing zeros in 15! is 3.
The number of digits in 15 factorial is 13.
The factorial of 15 is 1307674368000 calculated, through its definition, this way:
15 X 14 X 13 X 12 X 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1What is factorial of 15?
Definition of factorial of 15
The factorial is a basically a quantity which is defined for integer value 15 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 15 is calculated as 15 X 14 X 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
Factorial Formula for 15
For 15 is natural number which is greater than or equal to 1. Then we can have the formula as
15! = 15 x (15-1) X (15-2) X (15-3) X (15-4) X (15-5) X (15-6) X (15-7) X (15-8) X (15-9) X (15-10) X (15-11) X (15-12) X (15-13) X (15-14) X (15-15) ..... 15 X 14 X 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
Simalar Questions asked in exam for factorial of 15 :-
- Check How many digits are there in 15 factorial?
- What is the factorial of 15?
- How many trailing zeros are in 15 factorial?
- What is the last digits of factorial of 15?
Table for factorial of 1 to 15
| # | 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 |
| 11 | 11 | 39916800 |
| 12 | 12 | 479001600 |
| 13 | 13 | 6227020800 |
| 14 | 14 | 87178291200 |
| 15 | 15 | 1307674368000 |
Factorial examples
Example 1:-
What is the factorial of 16?Solution :-
We know that factorial formula for 16 is16! = 16 × (16-1) X (16-2) X (16-3) X (16-4) X (16-5) X (16-6) X (16-7) X (16-8) X (16-9) X (16-10) X (16-11) X (16-12) X (16-13) X (16-14) X (16-15) X (16-16) ..... 16 X 15 X 14 X 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 16 is
16! = 16 X (16-1) X (16-2) X (16-3) X (16-4) X (16-5) X (16-6) X (16-7) X (16-8) X (16-9) X (16-10) X (16-11) X (16-12) X (16-13) X (16-14) X (16-15) X (16-16)
16! = 16 X 15 X 14 X 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
16! = 20922789888000
Example 2:-
What is the factorial of 17?Solution :-
We know that factorial formula for 16 is17! = 17 × (17-1) X (17-2) X (17-3) X (17-4) X (17-5) X (17-6) X (17-7) X (17-8) X (17-9) X (17-10) X (17-11) X (17-12) X (17-13) X (17-14) X (17-15) X (17-16) X (17-17) ..... 17 X 16 X 15 X 14 X 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 17 is
17! = 17 X (17-1) X (17-2) X (17-3) X (17-4) X (17-5) X (17-6) X (17-7) X (17-8) X (17-9) X (17-10) X (17-11) X (17-12) X (17-13) X (17-14) X (17-15) X (17-16) X (17-17)
17! = 17 X 16 X 15 X 14 X 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
17! = 355687428096000
Example 3:-
What is the factorial of 18?Solution :-
We know that factorial formula for 18 is18! = 18 × (18-1) X (18-2) X (18-3) X (18-4) X (18-5) X (18-6) X (18-7) X (18-8) X (18-9) X (18-10) X (18-11) X (18-12) X (18-13) X (18-14) X (18-15) X (18-16) X (18-17) X (18-18) ..... 18 X 17 X 16 X 15 X 14 X 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 18 is
18! = 18 X (18-1) X (18-2) X (18-3) X (18-4) X (18-5) X (18-6) X (18-7) X (18-8) X (18-9) X (18-10) X (18-11) X (18-12) X (18-13) X (18-14) X (18-15) X (18-16) X (18-17) X (18-18)
18! = 18 X 17 X 16 X 15 X 14 X 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
18! = 6402373705728000
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 15?
Click here for detailed step by step calculation for factorial of 15.
Check How many digits are there in 15 factorial?
The number of number of digits in 15 factorial is 13.
What is the meaning of 15 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 14?
The value of factorial of 14 is 87178291200.
What is the factorial of 18?
The value of factorial of 18 is 6402373705728000.
What is the factorial of 17?
The value of factorial of 17 is 355687428096000.