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Factorial of 56 is 710998587804863451854045647463724949736497978881168458687447040000000000000 | What is a factorial of 56 ?
How to calculate the factorial of 56
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56! is exactly: 710998587804863451854045647463724949736497978881168458687447040000000000000
The number of trailing zeros in 56! is 13.
The number of digits in 56 factorial is 75.
The factorial of 56 is 710998587804863451854045647463724949736497978881168458687447040000000000000 calculated, through its definition, this way:
56 X 55 X 54 X 53 X 52 X 51 X 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 1What is factorial of 56?
Definition of factorial of 56
The factorial is a basically a quantity which is defined for integer value 56 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 56 is calculated as 56 X 55 X 54 X 53 X 52 X 51 X 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
Factorial Formula for 56
For 56 is natural number which is greater than or equal to 1. Then we can have the formula as
56! = 56 x (56-1) X (56-2) X (56-3) X (56-4) X (56-5) X (56-6) X (56-7) X (56-8) X (56-9) X (56-10) X (56-11) X (56-12) X (56-13) X (56-14) X (56-15) X (56-16) X (56-17) X (56-18) X (56-19) X (56-20) X (56-21) X (56-22) X (56-23) X (56-24) X (56-25) X (56-26) X (56-27) X (56-28) X (56-29) X (56-30) X (56-31) X (56-32) X (56-33) X (56-34) X (56-35) X (56-36) X (56-37) X (56-38) X (56-39) X (56-40) X (56-41) X (56-42) X (56-43) X (56-44) X (56-45) X (56-46) X (56-47) X (56-48) X (56-49) X (56-50) X (56-51) X (56-52) X (56-53) X (56-54) X (56-55) X (56-56) ..... 56 X 55 X 54 X 53 X 52 X 51 X 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
Simalar Questions asked in exam for factorial of 56 :-
- Check How many digits are there in 56 factorial?
- What is the factorial of 56?
- How many trailing zeros are in 56 factorial?
- What is the last digits of factorial of 56?
Table for factorial of 1 to 56
| # | 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 |
| 48 | 48 | 12413915592536072670862289047373375038521486354677760000000000 |
| 49 | 49 | 608281864034267560872252163321295376887552831379210240000000000 |
| 50 | 50 | 30414093201713378043612608166064768844377641568960512000000000000 |
| 51 | 51 | 1551118753287382280224243016469303211063259720016986112000000000000 |
| 52 | 52 | 80658175170943878571660636856403766975289505440883277824000000000000 |
| 53 | 53 | 4274883284060025564298013753389399649690343788366813724672000000000000 |
| 54 | 54 | 230843697339241380472092742683027581083278564571807941132288000000000000 |
| 55 | 55 | 12696403353658275925965100847566516959580321051449436762275840000000000000 |
| 56 | 56 | 710998587804863451854045647463724949736497978881168458687447040000000000000 |
Factorial examples
Example 1:-
What is the factorial of 57?Solution :-
We know that factorial formula for 57 is57! = 57 × (57-1) X (57-2) X (57-3) X (57-4) X (57-5) X (57-6) X (57-7) X (57-8) X (57-9) X (57-10) X (57-11) X (57-12) X (57-13) X (57-14) X (57-15) X (57-16) X (57-17) X (57-18) X (57-19) X (57-20) X (57-21) X (57-22) X (57-23) X (57-24) X (57-25) X (57-26) X (57-27) X (57-28) X (57-29) X (57-30) X (57-31) X (57-32) X (57-33) X (57-34) X (57-35) X (57-36) X (57-37) X (57-38) X (57-39) X (57-40) X (57-41) X (57-42) X (57-43) X (57-44) X (57-45) X (57-46) X (57-47) X (57-48) X (57-49) X (57-50) X (57-51) X (57-52) X (57-53) X (57-54) X (57-55) X (57-56) X (57-57) ..... 57 X 56 X 55 X 54 X 53 X 52 X 51 X 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 57 is
57! = 57 X (57-1) X (57-2) X (57-3) X (57-4) X (57-5) X (57-6) X (57-7) X (57-8) X (57-9) X (57-10) X (57-11) X (57-12) X (57-13) X (57-14) X (57-15) X (57-16) X (57-17) X (57-18) X (57-19) X (57-20) X (57-21) X (57-22) X (57-23) X (57-24) X (57-25) X (57-26) X (57-27) X (57-28) X (57-29) X (57-30) X (57-31) X (57-32) X (57-33) X (57-34) X (57-35) X (57-36) X (57-37) X (57-38) X (57-39) X (57-40) X (57-41) X (57-42) X (57-43) X (57-44) X (57-45) X (57-46) X (57-47) X (57-48) X (57-49) X (57-50) X (57-51) X (57-52) X (57-53) X (57-54) X (57-55) X (57-56) X (57-57)
57! = 57 X 56 X 55 X 54 X 53 X 52 X 51 X 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
57! = 40526919504877216755680601905432322134980384796226602145184481280000000000000
Example 2:-
What is the factorial of 58?Solution :-
We know that factorial formula for 57 is58! = 58 × (58-1) X (58-2) X (58-3) X (58-4) X (58-5) X (58-6) X (58-7) X (58-8) X (58-9) X (58-10) X (58-11) X (58-12) X (58-13) X (58-14) X (58-15) X (58-16) X (58-17) X (58-18) X (58-19) X (58-20) X (58-21) X (58-22) X (58-23) X (58-24) X (58-25) X (58-26) X (58-27) X (58-28) X (58-29) X (58-30) X (58-31) X (58-32) X (58-33) X (58-34) X (58-35) X (58-36) X (58-37) X (58-38) X (58-39) X (58-40) X (58-41) X (58-42) X (58-43) X (58-44) X (58-45) X (58-46) X (58-47) X (58-48) X (58-49) X (58-50) X (58-51) X (58-52) X (58-53) X (58-54) X (58-55) X (58-56) X (58-57) X (58-58) ..... 58 X 57 X 56 X 55 X 54 X 53 X 52 X 51 X 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 58 is
58! = 58 X (58-1) X (58-2) X (58-3) X (58-4) X (58-5) X (58-6) X (58-7) X (58-8) X (58-9) X (58-10) X (58-11) X (58-12) X (58-13) X (58-14) X (58-15) X (58-16) X (58-17) X (58-18) X (58-19) X (58-20) X (58-21) X (58-22) X (58-23) X (58-24) X (58-25) X (58-26) X (58-27) X (58-28) X (58-29) X (58-30) X (58-31) X (58-32) X (58-33) X (58-34) X (58-35) X (58-36) X (58-37) X (58-38) X (58-39) X (58-40) X (58-41) X (58-42) X (58-43) X (58-44) X (58-45) X (58-46) X (58-47) X (58-48) X (58-49) X (58-50) X (58-51) X (58-52) X (58-53) X (58-54) X (58-55) X (58-56) X (58-57) X (58-58)
58! = 58 X 57 X 56 X 55 X 54 X 53 X 52 X 51 X 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
58! = 2350561331282878571829474910515074683828862318181142924420699914240000000000000
Example 3:-
What is the factorial of 59?Solution :-
We know that factorial formula for 59 is59! = 59 × (59-1) X (59-2) X (59-3) X (59-4) X (59-5) X (59-6) X (59-7) X (59-8) X (59-9) X (59-10) X (59-11) X (59-12) X (59-13) X (59-14) X (59-15) X (59-16) X (59-17) X (59-18) X (59-19) X (59-20) X (59-21) X (59-22) X (59-23) X (59-24) X (59-25) X (59-26) X (59-27) X (59-28) X (59-29) X (59-30) X (59-31) X (59-32) X (59-33) X (59-34) X (59-35) X (59-36) X (59-37) X (59-38) X (59-39) X (59-40) X (59-41) X (59-42) X (59-43) X (59-44) X (59-45) X (59-46) X (59-47) X (59-48) X (59-49) X (59-50) X (59-51) X (59-52) X (59-53) X (59-54) X (59-55) X (59-56) X (59-57) X (59-58) X (59-59) ..... 59 X 58 X 57 X 56 X 55 X 54 X 53 X 52 X 51 X 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 59 is
59! = 59 X (59-1) X (59-2) X (59-3) X (59-4) X (59-5) X (59-6) X (59-7) X (59-8) X (59-9) X (59-10) X (59-11) X (59-12) X (59-13) X (59-14) X (59-15) X (59-16) X (59-17) X (59-18) X (59-19) X (59-20) X (59-21) X (59-22) X (59-23) X (59-24) X (59-25) X (59-26) X (59-27) X (59-28) X (59-29) X (59-30) X (59-31) X (59-32) X (59-33) X (59-34) X (59-35) X (59-36) X (59-37) X (59-38) X (59-39) X (59-40) X (59-41) X (59-42) X (59-43) X (59-44) X (59-45) X (59-46) X (59-47) X (59-48) X (59-49) X (59-50) X (59-51) X (59-52) X (59-53) X (59-54) X (59-55) X (59-56) X (59-57) X (59-58) X (59-59)
59! = 59 X 58 X 57 X 56 X 55 X 54 X 53 X 52 X 51 X 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
59! = 138683118545689835737939019720389406345902876772687432540821294940160000000000000
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 56?
Click here for detailed step by step calculation for factorial of 56.
Check How many digits are there in 56 factorial?
The number of number of digits in 56 factorial is 75.
What is the meaning of 56 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 55?
The value of factorial of 55 is 12696403353658275925965100847566516959580321051449436762275840000000000000.
What is the factorial of 59?
The value of factorial of 59 is 138683118545689835737939019720389406345902876772687432540821294940160000000000000.
What is the factorial of 58?
The value of factorial of 58 is 2350561331282878571829474910515074683828862318181142924420699914240000000000000.