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Factorial of 52 is 80658175170943878571660636856403766975289505440883277824000000000000 | What is a factorial of 52 ?
How to calculate the factorial of 52
Lets check the detailed answer
52! is exactly: 80658175170943878571660636856403766975289505440883277824000000000000
The number of trailing zeros in 52! is 12.
The number of digits in 52 factorial is 68.
The factorial of 52 is 80658175170943878571660636856403766975289505440883277824000000000000 calculated, through its definition, this way:
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 52?
Definition of factorial of 52
The factorial is a basically a quantity which is defined for integer value 52 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 52 is calculated as 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 52
For 52 is natural number which is greater than or equal to 1. Then we can have the formula as
52! = 52 x (52-1) X (52-2) X (52-3) X (52-4) X (52-5) X (52-6) X (52-7) X (52-8) X (52-9) X (52-10) X (52-11) X (52-12) X (52-13) X (52-14) X (52-15) X (52-16) X (52-17) X (52-18) X (52-19) X (52-20) X (52-21) X (52-22) X (52-23) X (52-24) X (52-25) X (52-26) X (52-27) X (52-28) X (52-29) X (52-30) X (52-31) X (52-32) X (52-33) X (52-34) X (52-35) X (52-36) X (52-37) X (52-38) X (52-39) X (52-40) X (52-41) X (52-42) X (52-43) X (52-44) X (52-45) X (52-46) X (52-47) X (52-48) X (52-49) X (52-50) X (52-51) X (52-52) ..... 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 52 :-
- Check How many digits are there in 52 factorial?
- What is the factorial of 52?
- How many trailing zeros are in 52 factorial?
- What is the last digits of factorial of 52?
Table for factorial of 1 to 52
| # | 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 |
Factorial examples
Example 1:-
What is the factorial of 53?Solution :-
We know that factorial formula for 53 is53! = 53 × (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
So the factorial of 53 is
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! = 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
53! = 4274883284060025564298013753389399649690343788366813724672000000000000
Example 2:-
What is the factorial of 54?Solution :-
We know that factorial formula for 53 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 3:-
What is the factorial of 55?Solution :-
We know that factorial formula for 55 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
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 52?
Click here for detailed step by step calculation for factorial of 52.
Check How many digits are there in 52 factorial?
The number of number of digits in 52 factorial is 68.
What is the meaning of 52 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 51?
The value of factorial of 51 is 1551118753287382280224243016469303211063259720016986112000000000000.
What is the factorial of 55?
The value of factorial of 55 is 12696403353658275925965100847566516959580321051449436762275840000000000000.
What is the factorial of 54?
The value of factorial of 54 is 230843697339241380472092742683027581083278564571807941132288000000000000.