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Factorial of 50 is 30414093201713378043612608166064768844377641568960512000000000000 | What is a factorial of 50 ?
How to calculate the factorial of 50
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50! is exactly: 30414093201713378043612608166064768844377641568960512000000000000
The number of trailing zeros in 50! is 12.
The number of digits in 50 factorial is 65.
The factorial of 50 is 30414093201713378043612608166064768844377641568960512000000000000 calculated, through its definition, this way:
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 50?
Definition of factorial of 50
The factorial is a basically a quantity which is defined for integer value 50 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 50 is calculated as 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 50
For 50 is natural number which is greater than or equal to 1. Then we can have the formula as
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 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 50 :-
- Check How many digits are there in 50 factorial?
- What is the factorial of 50?
- How many trailing zeros are in 50 factorial?
- What is the last digits of factorial of 50?
Table for factorial of 1 to 50
| # | 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 |
Factorial examples
Example 1:-
What is the factorial of 51?Solution :-
We know that factorial formula for 51 is51! = 51 × (51-1) X (51-2) X (51-3) X (51-4) X (51-5) X (51-6) X (51-7) X (51-8) X (51-9) X (51-10) X (51-11) X (51-12) X (51-13) X (51-14) X (51-15) X (51-16) X (51-17) X (51-18) X (51-19) X (51-20) X (51-21) X (51-22) X (51-23) X (51-24) X (51-25) X (51-26) X (51-27) X (51-28) X (51-29) X (51-30) X (51-31) X (51-32) X (51-33) X (51-34) X (51-35) X (51-36) X (51-37) X (51-38) X (51-39) X (51-40) X (51-41) X (51-42) X (51-43) X (51-44) X (51-45) X (51-46) X (51-47) X (51-48) X (51-49) X (51-50) X (51-51) ..... 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 51 is
51! = 51 X (51-1) X (51-2) X (51-3) X (51-4) X (51-5) X (51-6) X (51-7) X (51-8) X (51-9) X (51-10) X (51-11) X (51-12) X (51-13) X (51-14) X (51-15) X (51-16) X (51-17) X (51-18) X (51-19) X (51-20) X (51-21) X (51-22) X (51-23) X (51-24) X (51-25) X (51-26) X (51-27) X (51-28) X (51-29) X (51-30) X (51-31) X (51-32) X (51-33) X (51-34) X (51-35) X (51-36) X (51-37) X (51-38) X (51-39) X (51-40) X (51-41) X (51-42) X (51-43) X (51-44) X (51-45) X (51-46) X (51-47) X (51-48) X (51-49) X (51-50) X (51-51)
51! = 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
51! = 1551118753287382280224243016469303211063259720016986112000000000000
Example 2:-
What is the factorial of 52?Solution :-
We know that factorial formula for 51 is52! = 52 × (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
So the factorial of 52 is
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! = 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
52! = 80658175170943878571660636856403766975289505440883277824000000000000
Example 3:-
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
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 50?
Click here for detailed step by step calculation for factorial of 50.
Check How many digits are there in 50 factorial?
The number of number of digits in 50 factorial is 65.
What is the meaning of 50 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 49?
The value of factorial of 49 is 608281864034267560872252163321295376887552831379210240000000000.
What is the factorial of 53?
The value of factorial of 53 is 4274883284060025564298013753389399649690343788366813724672000000000000.
What is the factorial of 52?
The value of factorial of 52 is 80658175170943878571660636856403766975289505440883277824000000000000.