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Factorial of 45 is 119622220865480194561963161495657715064383733760000000000 | What is a factorial of 45 ?
How to calculate the factorial of 45
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45! is exactly: 119622220865480194561963161495657715064383733760000000000
The number of trailing zeros in 45! is 10.
The number of digits in 45 factorial is 57.
The factorial of 45 is 119622220865480194561963161495657715064383733760000000000 calculated, through its definition, this way:
45 X 44 X 43 X 42 X 41 X 40 X 39 X 38 X 37 X 36 X 35 X 34 X 33 X 32 X 31 X 30 X 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 1What is factorial of 45?
Definition of factorial of 45
The factorial is a basically a quantity which is defined for integer value 45 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 45 is calculated as 45 X 44 X 43 X 42 X 41 X 40 X 39 X 38 X 37 X 36 X 35 X 34 X 33 X 32 X 31 X 30 X 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
Factorial Formula for 45
For 45 is natural number which is greater than or equal to 1. Then we can have the formula as
45! = 45 x (45-1) X (45-2) X (45-3) X (45-4) X (45-5) X (45-6) X (45-7) X (45-8) X (45-9) X (45-10) X (45-11) X (45-12) X (45-13) X (45-14) X (45-15) X (45-16) X (45-17) X (45-18) X (45-19) X (45-20) X (45-21) X (45-22) X (45-23) X (45-24) X (45-25) X (45-26) X (45-27) X (45-28) X (45-29) X (45-30) X (45-31) X (45-32) X (45-33) X (45-34) X (45-35) X (45-36) X (45-37) X (45-38) X (45-39) X (45-40) X (45-41) X (45-42) X (45-43) X (45-44) X (45-45) ..... 45 X 44 X 43 X 42 X 41 X 40 X 39 X 38 X 37 X 36 X 35 X 34 X 33 X 32 X 31 X 30 X 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
Simalar Questions asked in exam for factorial of 45 :-
- Check How many digits are there in 45 factorial?
- What is the factorial of 45?
- How many trailing zeros are in 45 factorial?
- What is the last digits of factorial of 45?
Table for factorial of 1 to 45
| # | 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 |
| 27 | 27 | 10888869450418352160768000000 |
| 28 | 28 | 304888344611713860501504000000 |
| 29 | 29 | 8841761993739701954543616000000 |
| 30 | 30 | 265252859812191058636308480000000 |
| 31 | 31 | 8222838654177922817725562880000000 |
| 32 | 32 | 263130836933693530167218012160000000 |
| 33 | 33 | 8683317618811886495518194401280000000 |
| 34 | 34 | 295232799039604140847618609643520000000 |
| 35 | 35 | 10333147966386144929666651337523200000000 |
| 36 | 36 | 371993326789901217467999448150835200000000 |
| 37 | 37 | 13763753091226345046315979581580902400000000 |
| 38 | 38 | 523022617466601111760007224100074291200000000 |
| 39 | 39 | 20397882081197443358640281739902897356800000000 |
| 40 | 40 | 815915283247897734345611269596115894272000000000 |
| 41 | 41 | 33452526613163807108170062053440751665152000000000 |
| 42 | 42 | 1405006117752879898543142606244511569936384000000000 |
| 43 | 43 | 60415263063373835637355132068513997507264512000000000 |
| 44 | 44 | 2658271574788448768043625811014615890319638528000000000 |
| 45 | 45 | 119622220865480194561963161495657715064383733760000000000 |
Factorial examples
Example 1:-
What is the factorial of 46?Solution :-
We know that factorial formula for 46 is46! = 46 × (46-1) X (46-2) X (46-3) X (46-4) X (46-5) X (46-6) X (46-7) X (46-8) X (46-9) X (46-10) X (46-11) X (46-12) X (46-13) X (46-14) X (46-15) X (46-16) X (46-17) X (46-18) X (46-19) X (46-20) X (46-21) X (46-22) X (46-23) X (46-24) X (46-25) X (46-26) X (46-27) X (46-28) X (46-29) X (46-30) X (46-31) X (46-32) X (46-33) X (46-34) X (46-35) X (46-36) X (46-37) X (46-38) X (46-39) X (46-40) X (46-41) X (46-42) X (46-43) X (46-44) X (46-45) X (46-46) ..... 46 X 45 X 44 X 43 X 42 X 41 X 40 X 39 X 38 X 37 X 36 X 35 X 34 X 33 X 32 X 31 X 30 X 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 46 is
46! = 46 X (46-1) X (46-2) X (46-3) X (46-4) X (46-5) X (46-6) X (46-7) X (46-8) X (46-9) X (46-10) X (46-11) X (46-12) X (46-13) X (46-14) X (46-15) X (46-16) X (46-17) X (46-18) X (46-19) X (46-20) X (46-21) X (46-22) X (46-23) X (46-24) X (46-25) X (46-26) X (46-27) X (46-28) X (46-29) X (46-30) X (46-31) X (46-32) X (46-33) X (46-34) X (46-35) X (46-36) X (46-37) X (46-38) X (46-39) X (46-40) X (46-41) X (46-42) X (46-43) X (46-44) X (46-45) X (46-46)
46! = 46 X 45 X 44 X 43 X 42 X 41 X 40 X 39 X 38 X 37 X 36 X 35 X 34 X 33 X 32 X 31 X 30 X 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
46! = 5502622159812088949850305428800254892961651752960000000000
Example 2:-
What is the factorial of 47?Solution :-
We know that factorial formula for 46 is47! = 47 × (47-1) X (47-2) X (47-3) X (47-4) X (47-5) X (47-6) X (47-7) X (47-8) X (47-9) X (47-10) X (47-11) X (47-12) X (47-13) X (47-14) X (47-15) X (47-16) X (47-17) X (47-18) X (47-19) X (47-20) X (47-21) X (47-22) X (47-23) X (47-24) X (47-25) X (47-26) X (47-27) X (47-28) X (47-29) X (47-30) X (47-31) X (47-32) X (47-33) X (47-34) X (47-35) X (47-36) X (47-37) X (47-38) X (47-39) X (47-40) X (47-41) X (47-42) X (47-43) X (47-44) X (47-45) X (47-46) X (47-47) ..... 47 X 46 X 45 X 44 X 43 X 42 X 41 X 40 X 39 X 38 X 37 X 36 X 35 X 34 X 33 X 32 X 31 X 30 X 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 47 is
47! = 47 X (47-1) X (47-2) X (47-3) X (47-4) X (47-5) X (47-6) X (47-7) X (47-8) X (47-9) X (47-10) X (47-11) X (47-12) X (47-13) X (47-14) X (47-15) X (47-16) X (47-17) X (47-18) X (47-19) X (47-20) X (47-21) X (47-22) X (47-23) X (47-24) X (47-25) X (47-26) X (47-27) X (47-28) X (47-29) X (47-30) X (47-31) X (47-32) X (47-33) X (47-34) X (47-35) X (47-36) X (47-37) X (47-38) X (47-39) X (47-40) X (47-41) X (47-42) X (47-43) X (47-44) X (47-45) X (47-46) X (47-47)
47! = 47 X 46 X 45 X 44 X 43 X 42 X 41 X 40 X 39 X 38 X 37 X 36 X 35 X 34 X 33 X 32 X 31 X 30 X 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
47! = 258623241511168180642964355153611979969197632389120000000000
Example 3:-
What is the factorial of 48?Solution :-
We know that factorial formula for 48 is48! = 48 × (48-1) X (48-2) X (48-3) X (48-4) X (48-5) X (48-6) X (48-7) X (48-8) X (48-9) X (48-10) X (48-11) X (48-12) X (48-13) X (48-14) X (48-15) X (48-16) X (48-17) X (48-18) X (48-19) X (48-20) X (48-21) X (48-22) X (48-23) X (48-24) X (48-25) X (48-26) X (48-27) X (48-28) X (48-29) X (48-30) X (48-31) X (48-32) X (48-33) X (48-34) X (48-35) X (48-36) X (48-37) X (48-38) X (48-39) X (48-40) X (48-41) X (48-42) X (48-43) X (48-44) X (48-45) X (48-46) X (48-47) X (48-48) ..... 48 X 47 X 46 X 45 X 44 X 43 X 42 X 41 X 40 X 39 X 38 X 37 X 36 X 35 X 34 X 33 X 32 X 31 X 30 X 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 48 is
48! = 48 X (48-1) X (48-2) X (48-3) X (48-4) X (48-5) X (48-6) X (48-7) X (48-8) X (48-9) X (48-10) X (48-11) X (48-12) X (48-13) X (48-14) X (48-15) X (48-16) X (48-17) X (48-18) X (48-19) X (48-20) X (48-21) X (48-22) X (48-23) X (48-24) X (48-25) X (48-26) X (48-27) X (48-28) X (48-29) X (48-30) X (48-31) X (48-32) X (48-33) X (48-34) X (48-35) X (48-36) X (48-37) X (48-38) X (48-39) X (48-40) X (48-41) X (48-42) X (48-43) X (48-44) X (48-45) X (48-46) X (48-47) X (48-48)
48! = 48 X 47 X 46 X 45 X 44 X 43 X 42 X 41 X 40 X 39 X 38 X 37 X 36 X 35 X 34 X 33 X 32 X 31 X 30 X 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
48! = 12413915592536072670862289047373375038521486354677760000000000
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 45?
Click here for detailed step by step calculation for factorial of 45.
Check How many digits are there in 45 factorial?
The number of number of digits in 45 factorial is 57.
What is the meaning of 45 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 44?
The value of factorial of 44 is 2658271574788448768043625811014615890319638528000000000.
What is the factorial of 48?
The value of factorial of 48 is 12413915592536072670862289047373375038521486354677760000000000.
What is the factorial of 47?
The value of factorial of 47 is 258623241511168180642964355153611979969197632389120000000000.