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Factorial of 53 is 4274883284060025564298013753389399649690343788366813724672000000000000 | What is a factorial of 53 ?
How to calculate the factorial of 53
Lets check the detailed answer
53! is exactly: 4274883284060025564298013753389399649690343788366813724672000000000000
The number of trailing zeros in 53! is 12.
The number of digits in 53 factorial is 70.
The factorial of 53 is 4274883284060025564298013753389399649690343788366813724672000000000000 calculated, through its definition, this way:
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 53?
Definition of factorial of 53
The factorial is a basically a quantity which is defined for integer value 53 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 53 is calculated as 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 53
For 53 is natural number which is greater than or equal to 1. Then we can have the formula as
53! = 53 x (53-1) X (53-2) X (53-3) X (53-4) X (53-5) X (53-6) X (53-7) X (53-8) X (53-9) X (53-10) X (53-11) X (53-12) X (53-13) X (53-14) X (53-15) X (53-16) X (53-17) X (53-18) X (53-19) X (53-20) X (53-21) X (53-22) X (53-23) X (53-24) X (53-25) X (53-26) X (53-27) X (53-28) X (53-29) X (53-30) X (53-31) X (53-32) X (53-33) X (53-34) X (53-35) X (53-36) X (53-37) X (53-38) X (53-39) X (53-40) X (53-41) X (53-42) X (53-43) X (53-44) X (53-45) X (53-46) X (53-47) X (53-48) X (53-49) X (53-50) X (53-51) X (53-52) X (53-53) ..... 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 53 :-
- Check How many digits are there in 53 factorial?
- What is the factorial of 53?
- How many trailing zeros are in 53 factorial?
- What is the last digits of factorial of 53?
Table for factorial of 1 to 53
| # | 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 |
Factorial examples
Example 1:-
What is the factorial of 54?Solution :-
We know that factorial formula for 54 is54! = 54 × (54-1) X (54-2) X (54-3) X (54-4) X (54-5) X (54-6) X (54-7) X (54-8) X (54-9) X (54-10) X (54-11) X (54-12) X (54-13) X (54-14) X (54-15) X (54-16) X (54-17) X (54-18) X (54-19) X (54-20) X (54-21) X (54-22) X (54-23) X (54-24) X (54-25) X (54-26) X (54-27) X (54-28) X (54-29) X (54-30) X (54-31) X (54-32) X (54-33) X (54-34) X (54-35) X (54-36) X (54-37) X (54-38) X (54-39) X (54-40) X (54-41) X (54-42) X (54-43) X (54-44) X (54-45) X (54-46) X (54-47) X (54-48) X (54-49) X (54-50) X (54-51) X (54-52) X (54-53) X (54-54) ..... 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 54 is
54! = 54 X (54-1) X (54-2) X (54-3) X (54-4) X (54-5) X (54-6) X (54-7) X (54-8) X (54-9) X (54-10) X (54-11) X (54-12) X (54-13) X (54-14) X (54-15) X (54-16) X (54-17) X (54-18) X (54-19) X (54-20) X (54-21) X (54-22) X (54-23) X (54-24) X (54-25) X (54-26) X (54-27) X (54-28) X (54-29) X (54-30) X (54-31) X (54-32) X (54-33) X (54-34) X (54-35) X (54-36) X (54-37) X (54-38) X (54-39) X (54-40) X (54-41) X (54-42) X (54-43) X (54-44) X (54-45) X (54-46) X (54-47) X (54-48) X (54-49) X (54-50) X (54-51) X (54-52) X (54-53) X (54-54)
54! = 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
54! = 230843697339241380472092742683027581083278564571807941132288000000000000
Example 2:-
What is the factorial of 55?Solution :-
We know that factorial formula for 54 is55! = 55 × (55-1) X (55-2) X (55-3) X (55-4) X (55-5) X (55-6) X (55-7) X (55-8) X (55-9) X (55-10) X (55-11) X (55-12) X (55-13) X (55-14) X (55-15) X (55-16) X (55-17) X (55-18) X (55-19) X (55-20) X (55-21) X (55-22) X (55-23) X (55-24) X (55-25) X (55-26) X (55-27) X (55-28) X (55-29) X (55-30) X (55-31) X (55-32) X (55-33) X (55-34) X (55-35) X (55-36) X (55-37) X (55-38) X (55-39) X (55-40) X (55-41) X (55-42) X (55-43) X (55-44) X (55-45) X (55-46) X (55-47) X (55-48) X (55-49) X (55-50) X (55-51) X (55-52) X (55-53) X (55-54) X (55-55) ..... 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 55 is
55! = 55 X (55-1) X (55-2) X (55-3) X (55-4) X (55-5) X (55-6) X (55-7) X (55-8) X (55-9) X (55-10) X (55-11) X (55-12) X (55-13) X (55-14) X (55-15) X (55-16) X (55-17) X (55-18) X (55-19) X (55-20) X (55-21) X (55-22) X (55-23) X (55-24) X (55-25) X (55-26) X (55-27) X (55-28) X (55-29) X (55-30) X (55-31) X (55-32) X (55-33) X (55-34) X (55-35) X (55-36) X (55-37) X (55-38) X (55-39) X (55-40) X (55-41) X (55-42) X (55-43) X (55-44) X (55-45) X (55-46) X (55-47) X (55-48) X (55-49) X (55-50) X (55-51) X (55-52) X (55-53) X (55-54) X (55-55)
55! = 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
55! = 12696403353658275925965100847566516959580321051449436762275840000000000000
Example 3:-
What is the factorial of 56?Solution :-
We know that factorial formula for 56 is56! = 56 × (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
So the factorial of 56 is
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! = 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
56! = 710998587804863451854045647463724949736497978881168458687447040000000000000
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 53?
Click here for detailed step by step calculation for factorial of 53.
Check How many digits are there in 53 factorial?
The number of number of digits in 53 factorial is 70.
What is the meaning of 53 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 52?
The value of factorial of 52 is 80658175170943878571660636856403766975289505440883277824000000000000.
What is the factorial of 56?
The value of factorial of 56 is 710998587804863451854045647463724949736497978881168458687447040000000000000.
What is the factorial of 55?
The value of factorial of 55 is 12696403353658275925965100847566516959580321051449436762275840000000000000.