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Factorial of 48 is 12413915592536072670862289047373375038521486354677760000000000 | What is a factorial of 48 ?
How to calculate the factorial of 48
Lets check the detailed answer
48! is exactly: 12413915592536072670862289047373375038521486354677760000000000
The number of trailing zeros in 48! is 10.
The number of digits in 48 factorial is 62.
The factorial of 48 is 12413915592536072670862289047373375038521486354677760000000000 calculated, through its definition, this way:
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 48?
Definition of factorial of 48
The factorial is a basically a quantity which is defined for integer value 48 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 48 is calculated as 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 48
For 48 is natural number which is greater than or equal to 1. Then we can have the formula as
48! = 48 x (48-1) X (48-2) X (48-3) X (48-4) X (48-5) X (48-6) X (48-7) X (48-8) X (48-9) X (48-10) X (48-11) X (48-12) X (48-13) X (48-14) X (48-15) X (48-16) X (48-17) X (48-18) X (48-19) X (48-20) X (48-21) X (48-22) X (48-23) X (48-24) X (48-25) X (48-26) X (48-27) X (48-28) X (48-29) X (48-30) X (48-31) X (48-32) X (48-33) X (48-34) X (48-35) X (48-36) X (48-37) X (48-38) X (48-39) X (48-40) X (48-41) X (48-42) X (48-43) X (48-44) X (48-45) X (48-46) X (48-47) X (48-48) ..... 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 48 :-
- Check How many digits are there in 48 factorial?
- What is the factorial of 48?
- How many trailing zeros are in 48 factorial?
- What is the last digits of factorial of 48?
Table for factorial of 1 to 48
| # | 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 |
Factorial examples
Example 1:-
What is the factorial of 49?Solution :-
We know that factorial formula for 49 is49! = 49 × (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
So the factorial of 49 is
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! = 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
49! = 608281864034267560872252163321295376887552831379210240000000000
Example 2:-
What is the factorial of 50?Solution :-
We know that factorial formula for 49 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 3:-
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
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 48?
Click here for detailed step by step calculation for factorial of 48.
Check How many digits are there in 48 factorial?
The number of number of digits in 48 factorial is 62.
What is the meaning of 48 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 47?
The value of factorial of 47 is 258623241511168180642964355153611979969197632389120000000000.
What is the factorial of 51?
The value of factorial of 51 is 1551118753287382280224243016469303211063259720016986112000000000000.
What is the factorial of 50?
The value of factorial of 50 is 30414093201713378043612608166064768844377641568960512000000000000.