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Factorial of 17 is 355687428096000 | What is a factorial of 17 ?
How to calculate the factorial of 17
Lets check the detailed answer
17! is exactly: 355687428096000
The number of trailing zeros in 17! is 3.
The number of digits in 17 factorial is 15.
The factorial of 17 is 355687428096000 calculated, through its definition, this way:
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 1What is factorial of 17?
Definition of factorial of 17
The factorial is a basically a quantity which is defined for integer value 17 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 17 is calculated as 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
Factorial Formula for 17
For 17 is natural number which is greater than or equal to 1. Then we can have the formula as
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 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
Simalar Questions asked in exam for factorial of 17 :-
- Check How many digits are there in 17 factorial?
- What is the factorial of 17?
- How many trailing zeros are in 17 factorial?
- What is the last digits of factorial of 17?
Table for factorial of 1 to 17
| # | 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 |
| 16 | 16 | 20922789888000 |
| 17 | 17 | 355687428096000 |
Factorial examples
Example 1:-
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
Example 2:-
What is the factorial of 19?Solution :-
We know that factorial formula for 18 is19! = 19 × (19-1) X (19-2) X (19-3) X (19-4) X (19-5) X (19-6) X (19-7) X (19-8) X (19-9) X (19-10) X (19-11) X (19-12) X (19-13) X (19-14) X (19-15) X (19-16) X (19-17) X (19-18) X (19-19) ..... 19 X 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 19 is
19! = 19 X (19-1) X (19-2) X (19-3) X (19-4) X (19-5) X (19-6) X (19-7) X (19-8) X (19-9) X (19-10) X (19-11) X (19-12) X (19-13) X (19-14) X (19-15) X (19-16) X (19-17) X (19-18) X (19-19)
19! = 19 X 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
19! = 121645100408832000
Example 3:-
What is the factorial of 20?Solution :-
We know that factorial formula for 20 is20! = 20 × (20-1) X (20-2) X (20-3) X (20-4) X (20-5) X (20-6) X (20-7) X (20-8) X (20-9) X (20-10) X (20-11) X (20-12) X (20-13) X (20-14) X (20-15) X (20-16) X (20-17) X (20-18) X (20-19) X (20-20) ..... 20 X 19 X 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 20 is
20! = 20 X (20-1) X (20-2) X (20-3) X (20-4) X (20-5) X (20-6) X (20-7) X (20-8) X (20-9) X (20-10) X (20-11) X (20-12) X (20-13) X (20-14) X (20-15) X (20-16) X (20-17) X (20-18) X (20-19) X (20-20)
20! = 20 X 19 X 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
20! = 2432902008176640000
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 17?
Click here for detailed step by step calculation for factorial of 17.
Check How many digits are there in 17 factorial?
The number of number of digits in 17 factorial is 15.
What is the meaning of 17 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 16?
The value of factorial of 16 is 20922789888000.
What is the factorial of 20?
The value of factorial of 20 is 2432902008176640000.
What is the factorial of 19?
The value of factorial of 19 is 121645100408832000.