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Factorial of 26 is 403291461126605635584000000 | What is a factorial of 26 ?
How to calculate the factorial of 26
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26! is exactly: 403291461126605635584000000
The number of trailing zeros in 26! is 6.
The number of digits in 26 factorial is 27.
The factorial of 26 is 403291461126605635584000000 calculated, through its definition, this way:
26 X 25 X 24 X 23 X 22 X 21 X 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 1What is factorial of 26?
Definition of factorial of 26
The factorial is a basically a quantity which is defined for integer value 26 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 26 is calculated as 26 X 25 X 24 X 23 X 22 X 21 X 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
Factorial Formula for 26
For 26 is natural number which is greater than or equal to 1. Then we can have the formula as
26! = 26 x (26-1) X (26-2) X (26-3) X (26-4) X (26-5) X (26-6) X (26-7) X (26-8) X (26-9) X (26-10) X (26-11) X (26-12) X (26-13) X (26-14) X (26-15) X (26-16) X (26-17) X (26-18) X (26-19) X (26-20) X (26-21) X (26-22) X (26-23) X (26-24) X (26-25) X (26-26) ..... 26 X 25 X 24 X 23 X 22 X 21 X 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
Simalar Questions asked in exam for factorial of 26 :-
- Check How many digits are there in 26 factorial?
- What is the factorial of 26?
- How many trailing zeros are in 26 factorial?
- What is the last digits of factorial of 26?
Table for factorial of 1 to 26
| # | 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 |
| 18 | 18 | 6402373705728000 |
| 19 | 19 | 121645100408832000 |
| 20 | 20 | 2432902008176640000 |
| 21 | 21 | 51090942171709440000 |
| 22 | 22 | 1124000727777607680000 |
| 23 | 23 | 25852016738884976640000 |
| 24 | 24 | 620448401733239439360000 |
| 25 | 25 | 15511210043330985984000000 |
| 26 | 26 | 403291461126605635584000000 |
Factorial examples
Example 1:-
What is the factorial of 27?Solution :-
We know that factorial formula for 27 is27! = 27 × (27-1) X (27-2) X (27-3) X (27-4) X (27-5) X (27-6) X (27-7) X (27-8) X (27-9) X (27-10) X (27-11) X (27-12) X (27-13) X (27-14) X (27-15) X (27-16) X (27-17) X (27-18) X (27-19) X (27-20) X (27-21) X (27-22) X (27-23) X (27-24) X (27-25) X (27-26) X (27-27) ..... 27 X 26 X 25 X 24 X 23 X 22 X 21 X 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 27 is
27! = 27 X (27-1) X (27-2) X (27-3) X (27-4) X (27-5) X (27-6) X (27-7) X (27-8) X (27-9) X (27-10) X (27-11) X (27-12) X (27-13) X (27-14) X (27-15) X (27-16) X (27-17) X (27-18) X (27-19) X (27-20) X (27-21) X (27-22) X (27-23) X (27-24) X (27-25) X (27-26) X (27-27)
27! = 27 X 26 X 25 X 24 X 23 X 22 X 21 X 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
27! = 10888869450418352160768000000
Example 2:-
What is the factorial of 28?Solution :-
We know that factorial formula for 27 is28! = 28 × (28-1) X (28-2) X (28-3) X (28-4) X (28-5) X (28-6) X (28-7) X (28-8) X (28-9) X (28-10) X (28-11) X (28-12) X (28-13) X (28-14) X (28-15) X (28-16) X (28-17) X (28-18) X (28-19) X (28-20) X (28-21) X (28-22) X (28-23) X (28-24) X (28-25) X (28-26) X (28-27) X (28-28) ..... 28 X 27 X 26 X 25 X 24 X 23 X 22 X 21 X 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 28 is
28! = 28 X (28-1) X (28-2) X (28-3) X (28-4) X (28-5) X (28-6) X (28-7) X (28-8) X (28-9) X (28-10) X (28-11) X (28-12) X (28-13) X (28-14) X (28-15) X (28-16) X (28-17) X (28-18) X (28-19) X (28-20) X (28-21) X (28-22) X (28-23) X (28-24) X (28-25) X (28-26) X (28-27) X (28-28)
28! = 28 X 27 X 26 X 25 X 24 X 23 X 22 X 21 X 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
28! = 304888344611713860501504000000
Example 3:-
What is the factorial of 29?Solution :-
We know that factorial formula for 29 is29! = 29 × (29-1) X (29-2) X (29-3) X (29-4) X (29-5) X (29-6) X (29-7) X (29-8) X (29-9) X (29-10) X (29-11) X (29-12) X (29-13) X (29-14) X (29-15) X (29-16) X (29-17) X (29-18) X (29-19) X (29-20) X (29-21) X (29-22) X (29-23) X (29-24) X (29-25) X (29-26) X (29-27) X (29-28) X (29-29) ..... 29 X 28 X 27 X 26 X 25 X 24 X 23 X 22 X 21 X 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 29 is
29! = 29 X (29-1) X (29-2) X (29-3) X (29-4) X (29-5) X (29-6) X (29-7) X (29-8) X (29-9) X (29-10) X (29-11) X (29-12) X (29-13) X (29-14) X (29-15) X (29-16) X (29-17) X (29-18) X (29-19) X (29-20) X (29-21) X (29-22) X (29-23) X (29-24) X (29-25) X (29-26) X (29-27) X (29-28) X (29-29)
29! = 29 X 28 X 27 X 26 X 25 X 24 X 23 X 22 X 21 X 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
29! = 8841761993739701954543616000000
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 26?
Click here for detailed step by step calculation for factorial of 26.
Check How many digits are there in 26 factorial?
The number of number of digits in 26 factorial is 27.
What is the meaning of 26 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 25?
The value of factorial of 25 is 15511210043330985984000000.
What is the factorial of 29?
The value of factorial of 29 is 8841761993739701954543616000000.
What is the factorial of 28?
The value of factorial of 28 is 304888344611713860501504000000.