- Home ›
- Factorial ›
- Factorial of 46
Factorial of 46 is 5502622159812088949850305428800254892961651752960000000000 | What is a factorial of 46 ?
How to calculate the factorial of 46
Lets check the detailed answer
46! is exactly: 5502622159812088949850305428800254892961651752960000000000
The number of trailing zeros in 46! is 10.
The number of digits in 46 factorial is 58.
The factorial of 46 is 5502622159812088949850305428800254892961651752960000000000 calculated, through its definition, this way:
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 46?
Definition of factorial of 46
The factorial is a basically a quantity which is defined for integer value 46 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 46 is calculated as 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 46
For 46 is natural number which is greater than or equal to 1. Then we can have the formula as
46! = 46 x (46-1) X (46-2) X (46-3) X (46-4) X (46-5) X (46-6) X (46-7) X (46-8) X (46-9) X (46-10) X (46-11) X (46-12) X (46-13) X (46-14) X (46-15) X (46-16) X (46-17) X (46-18) X (46-19) X (46-20) X (46-21) X (46-22) X (46-23) X (46-24) X (46-25) X (46-26) X (46-27) X (46-28) X (46-29) X (46-30) X (46-31) X (46-32) X (46-33) X (46-34) X (46-35) X (46-36) X (46-37) X (46-38) X (46-39) X (46-40) X (46-41) X (46-42) X (46-43) X (46-44) X (46-45) X (46-46) ..... 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 46 :-
- Check How many digits are there in 46 factorial?
- What is the factorial of 46?
- How many trailing zeros are in 46 factorial?
- What is the last digits of factorial of 46?
Table for factorial of 1 to 46
| # | 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 |
Factorial examples
Example 1:-
What is the factorial of 47?Solution :-
We know that factorial formula for 47 is47! = 47 × (47-1) X (47-2) X (47-3) X (47-4) X (47-5) X (47-6) X (47-7) X (47-8) X (47-9) X (47-10) X (47-11) X (47-12) X (47-13) X (47-14) X (47-15) X (47-16) X (47-17) X (47-18) X (47-19) X (47-20) X (47-21) X (47-22) X (47-23) X (47-24) X (47-25) X (47-26) X (47-27) X (47-28) X (47-29) X (47-30) X (47-31) X (47-32) X (47-33) X (47-34) X (47-35) X (47-36) X (47-37) X (47-38) X (47-39) X (47-40) X (47-41) X (47-42) X (47-43) X (47-44) X (47-45) X (47-46) X (47-47) ..... 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 47 is
47! = 47 X (47-1) X (47-2) X (47-3) X (47-4) X (47-5) X (47-6) X (47-7) X (47-8) X (47-9) X (47-10) X (47-11) X (47-12) X (47-13) X (47-14) X (47-15) X (47-16) X (47-17) X (47-18) X (47-19) X (47-20) X (47-21) X (47-22) X (47-23) X (47-24) X (47-25) X (47-26) X (47-27) X (47-28) X (47-29) X (47-30) X (47-31) X (47-32) X (47-33) X (47-34) X (47-35) X (47-36) X (47-37) X (47-38) X (47-39) X (47-40) X (47-41) X (47-42) X (47-43) X (47-44) X (47-45) X (47-46) X (47-47)
47! = 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
47! = 258623241511168180642964355153611979969197632389120000000000
Example 2:-
What is the factorial of 48?Solution :-
We know that factorial formula for 47 is48! = 48 × (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
So the factorial of 48 is
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! = 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
48! = 12413915592536072670862289047373375038521486354677760000000000
Example 3:-
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
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 46?
Click here for detailed step by step calculation for factorial of 46.
Check How many digits are there in 46 factorial?
The number of number of digits in 46 factorial is 58.
What is the meaning of 46 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 45?
The value of factorial of 45 is 119622220865480194561963161495657715064383733760000000000.
What is the factorial of 49?
The value of factorial of 49 is 608281864034267560872252163321295376887552831379210240000000000.
What is the factorial of 48?
The value of factorial of 48 is 12413915592536072670862289047373375038521486354677760000000000.