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Factorial of 47 is 258623241511168180642964355153611979969197632389120000000000 | What is a factorial of 47 ?
How to calculate the factorial of 47
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47! is exactly: 258623241511168180642964355153611979969197632389120000000000
The number of trailing zeros in 47! is 10.
The number of digits in 47 factorial is 60.
The factorial of 47 is 258623241511168180642964355153611979969197632389120000000000 calculated, through its definition, this way:
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 1What is factorial of 47?
Definition of factorial of 47
The factorial is a basically a quantity which is defined for integer value 47 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 47 is calculated as 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
Factorial Formula for 47
For 47 is natural number which is greater than or equal to 1. Then we can have the formula as
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 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
Simalar Questions asked in exam for factorial of 47 :-
- Check How many digits are there in 47 factorial?
- What is the factorial of 47?
- How many trailing zeros are in 47 factorial?
- What is the last digits of factorial of 47?
Table for factorial of 1 to 47
| # | 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 |
| 46 | 46 | 5502622159812088949850305428800254892961651752960000000000 |
| 47 | 47 | 258623241511168180642964355153611979969197632389120000000000 |
Factorial examples
Example 1:-
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
Example 2:-
What is the factorial of 49?Solution :-
We know that factorial formula for 48 is49! = 49 × (49-1) X (49-2) X (49-3) X (49-4) X (49-5) X (49-6) X (49-7) X (49-8) X (49-9) X (49-10) X (49-11) X (49-12) X (49-13) X (49-14) X (49-15) X (49-16) X (49-17) X (49-18) X (49-19) X (49-20) X (49-21) X (49-22) X (49-23) X (49-24) X (49-25) X (49-26) X (49-27) X (49-28) X (49-29) X (49-30) X (49-31) X (49-32) X (49-33) X (49-34) X (49-35) X (49-36) X (49-37) X (49-38) X (49-39) X (49-40) X (49-41) X (49-42) X (49-43) X (49-44) X (49-45) X (49-46) X (49-47) X (49-48) X (49-49) ..... 49 X 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 49 is
49! = 49 X (49-1) X (49-2) X (49-3) X (49-4) X (49-5) X (49-6) X (49-7) X (49-8) X (49-9) X (49-10) X (49-11) X (49-12) X (49-13) X (49-14) X (49-15) X (49-16) X (49-17) X (49-18) X (49-19) X (49-20) X (49-21) X (49-22) X (49-23) X (49-24) X (49-25) X (49-26) X (49-27) X (49-28) X (49-29) X (49-30) X (49-31) X (49-32) X (49-33) X (49-34) X (49-35) X (49-36) X (49-37) X (49-38) X (49-39) X (49-40) X (49-41) X (49-42) X (49-43) X (49-44) X (49-45) X (49-46) X (49-47) X (49-48) X (49-49)
49! = 49 X 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
49! = 608281864034267560872252163321295376887552831379210240000000000
Example 3:-
What is the factorial of 50?Solution :-
We know that factorial formula for 50 is50! = 50 × (50-1) X (50-2) X (50-3) X (50-4) X (50-5) X (50-6) X (50-7) X (50-8) X (50-9) X (50-10) X (50-11) X (50-12) X (50-13) X (50-14) X (50-15) X (50-16) X (50-17) X (50-18) X (50-19) X (50-20) X (50-21) X (50-22) X (50-23) X (50-24) X (50-25) X (50-26) X (50-27) X (50-28) X (50-29) X (50-30) X (50-31) X (50-32) X (50-33) X (50-34) X (50-35) X (50-36) X (50-37) X (50-38) X (50-39) X (50-40) X (50-41) X (50-42) X (50-43) X (50-44) X (50-45) X (50-46) X (50-47) X (50-48) X (50-49) X (50-50) ..... 50 X 49 X 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 50 is
50! = 50 X (50-1) X (50-2) X (50-3) X (50-4) X (50-5) X (50-6) X (50-7) X (50-8) X (50-9) X (50-10) X (50-11) X (50-12) X (50-13) X (50-14) X (50-15) X (50-16) X (50-17) X (50-18) X (50-19) X (50-20) X (50-21) X (50-22) X (50-23) X (50-24) X (50-25) X (50-26) X (50-27) X (50-28) X (50-29) X (50-30) X (50-31) X (50-32) X (50-33) X (50-34) X (50-35) X (50-36) X (50-37) X (50-38) X (50-39) X (50-40) X (50-41) X (50-42) X (50-43) X (50-44) X (50-45) X (50-46) X (50-47) X (50-48) X (50-49) X (50-50)
50! = 50 X 49 X 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
50! = 30414093201713378043612608166064768844377641568960512000000000000
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 47?
Click here for detailed step by step calculation for factorial of 47.
Check How many digits are there in 47 factorial?
The number of number of digits in 47 factorial is 60.
What is the meaning of 47 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 46?
The value of factorial of 46 is 5502622159812088949850305428800254892961651752960000000000.
What is the factorial of 50?
The value of factorial of 50 is 30414093201713378043612608166064768844377641568960512000000000000.
What is the factorial of 49?
The value of factorial of 49 is 608281864034267560872252163321295376887552831379210240000000000.