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Factorial of 49 is 608281864034267560872252163321295376887552831379210240000000000 | What is a factorial of 49 ?
How to calculate the factorial of 49
Lets check the detailed answer
49! is exactly: 608281864034267560872252163321295376887552831379210240000000000
The number of trailing zeros in 49! is 10.
The number of digits in 49 factorial is 63.
The factorial of 49 is 608281864034267560872252163321295376887552831379210240000000000 calculated, through its definition, this way:
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 49?
Definition of factorial of 49
The factorial is a basically a quantity which is defined for integer value 49 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 49 is calculated as 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 49
For 49 is natural number which is greater than or equal to 1. Then we can have the formula as
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 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 49 :-
- Check How many digits are there in 49 factorial?
- What is the factorial of 49?
- How many trailing zeros are in 49 factorial?
- What is the last digits of factorial of 49?
Table for factorial of 1 to 49
| # | 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 |
Factorial examples
Example 1:-
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
Example 2:-
What is the factorial of 51?Solution :-
We know that factorial formula for 50 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 3:-
What is the factorial of 52?Solution :-
We know that factorial formula for 52 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
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 49?
Click here for detailed step by step calculation for factorial of 49.
Check How many digits are there in 49 factorial?
The number of number of digits in 49 factorial is 63.
What is the meaning of 49 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 48?
The value of factorial of 48 is 12413915592536072670862289047373375038521486354677760000000000.
What is the factorial of 52?
The value of factorial of 52 is 80658175170943878571660636856403766975289505440883277824000000000000.
What is the factorial of 51?
The value of factorial of 51 is 1551118753287382280224243016469303211063259720016986112000000000000.