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Factorial of 16 is 20922789888000 | What is a factorial of 16 ?
How to calculate the factorial of 16
Lets check the detailed answer
16! is exactly: 20922789888000
The number of trailing zeros in 16! is 3.
The number of digits in 16 factorial is 14.
The factorial of 16 is 20922789888000 calculated, through its definition, this way:
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 16?
Definition of factorial of 16
The factorial is a basically a quantity which is defined for integer value 16 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 16 is calculated as 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 16
For 16 is natural number which is greater than or equal to 1. Then we can have the formula as
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 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 16 :-
- Check How many digits are there in 16 factorial?
- What is the factorial of 16?
- How many trailing zeros are in 16 factorial?
- What is the last digits of factorial of 16?
Table for factorial of 1 to 16
| # | 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 |
Factorial examples
Example 1:-
What is the factorial of 17?Solution :-
We know that factorial formula for 17 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 2:-
What is the factorial of 18?Solution :-
We know that factorial formula for 17 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 3:-
What is the factorial of 19?Solution :-
We know that factorial formula for 19 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
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 16?
Click here for detailed step by step calculation for factorial of 16.
Check How many digits are there in 16 factorial?
The number of number of digits in 16 factorial is 14.
What is the meaning of 16 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 15?
The value of factorial of 15 is 1307674368000.
What is the factorial of 19?
The value of factorial of 19 is 121645100408832000.
What is the factorial of 18?
The value of factorial of 18 is 6402373705728000.