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Factorial of 55 is 12696403353658275925965100847566516959580321051449436762275840000000000000 | What is a factorial of 55 ?

How to calculate the factorial of 55
Lets check the detailed answer
55! is exactly: 12696403353658275925965100847566516959580321051449436762275840000000000000
The number of trailing zeros in 55! is 13.
The number of digits in 55 factorial is 74.
The factorial of 55 is 12696403353658275925965100847566516959580321051449436762275840000000000000 calculated, through its definition, this way:
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 1What is factorial of 55?
Definition of factorial of 55
The factorial is a basically a quantity which is defined for integer value 55 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 55 is calculated as 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
Factorial Formula for 55

For 55 is natural number which is greater than or equal to 1. Then we can have the formula as
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 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
Simalar Questions asked in exam for factorial of 55 :-
- Check How many digits are there in 55 factorial?
- What is the factorial of 55?
- How many trailing zeros are in 55 factorial?
- What is the last digits of factorial of 55?
Table for factorial of 1 to 55
# | 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 |
53 | 53 | 4274883284060025564298013753389399649690343788366813724672000000000000 |
54 | 54 | 230843697339241380472092742683027581083278564571807941132288000000000000 |
55 | 55 | 12696403353658275925965100847566516959580321051449436762275840000000000000 |
Factorial examples
Example 1:-
What is the factorial of 56?Solution :-
We know that factorial formula for 56 is56! = 56 × (56-1) X (56-2) X (56-3) X (56-4) X (56-5) X (56-6) X (56-7) X (56-8) X (56-9) X (56-10) X (56-11) X (56-12) X (56-13) X (56-14) X (56-15) X (56-16) X (56-17) X (56-18) X (56-19) X (56-20) X (56-21) X (56-22) X (56-23) X (56-24) X (56-25) X (56-26) X (56-27) X (56-28) X (56-29) X (56-30) X (56-31) X (56-32) X (56-33) X (56-34) X (56-35) X (56-36) X (56-37) X (56-38) X (56-39) X (56-40) X (56-41) X (56-42) X (56-43) X (56-44) X (56-45) X (56-46) X (56-47) X (56-48) X (56-49) X (56-50) X (56-51) X (56-52) X (56-53) X (56-54) X (56-55) X (56-56) ..... 56 X 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 56 is
56! = 56 X (56-1) X (56-2) X (56-3) X (56-4) X (56-5) X (56-6) X (56-7) X (56-8) X (56-9) X (56-10) X (56-11) X (56-12) X (56-13) X (56-14) X (56-15) X (56-16) X (56-17) X (56-18) X (56-19) X (56-20) X (56-21) X (56-22) X (56-23) X (56-24) X (56-25) X (56-26) X (56-27) X (56-28) X (56-29) X (56-30) X (56-31) X (56-32) X (56-33) X (56-34) X (56-35) X (56-36) X (56-37) X (56-38) X (56-39) X (56-40) X (56-41) X (56-42) X (56-43) X (56-44) X (56-45) X (56-46) X (56-47) X (56-48) X (56-49) X (56-50) X (56-51) X (56-52) X (56-53) X (56-54) X (56-55) X (56-56)
56! = 56 X 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
56! = 710998587804863451854045647463724949736497978881168458687447040000000000000
Example 2:-
What is the factorial of 57?Solution :-
We know that factorial formula for 56 is57! = 57 × (57-1) X (57-2) X (57-3) X (57-4) X (57-5) X (57-6) X (57-7) X (57-8) X (57-9) X (57-10) X (57-11) X (57-12) X (57-13) X (57-14) X (57-15) X (57-16) X (57-17) X (57-18) X (57-19) X (57-20) X (57-21) X (57-22) X (57-23) X (57-24) X (57-25) X (57-26) X (57-27) X (57-28) X (57-29) X (57-30) X (57-31) X (57-32) X (57-33) X (57-34) X (57-35) X (57-36) X (57-37) X (57-38) X (57-39) X (57-40) X (57-41) X (57-42) X (57-43) X (57-44) X (57-45) X (57-46) X (57-47) X (57-48) X (57-49) X (57-50) X (57-51) X (57-52) X (57-53) X (57-54) X (57-55) X (57-56) X (57-57) ..... 57 X 56 X 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 57 is
57! = 57 X (57-1) X (57-2) X (57-3) X (57-4) X (57-5) X (57-6) X (57-7) X (57-8) X (57-9) X (57-10) X (57-11) X (57-12) X (57-13) X (57-14) X (57-15) X (57-16) X (57-17) X (57-18) X (57-19) X (57-20) X (57-21) X (57-22) X (57-23) X (57-24) X (57-25) X (57-26) X (57-27) X (57-28) X (57-29) X (57-30) X (57-31) X (57-32) X (57-33) X (57-34) X (57-35) X (57-36) X (57-37) X (57-38) X (57-39) X (57-40) X (57-41) X (57-42) X (57-43) X (57-44) X (57-45) X (57-46) X (57-47) X (57-48) X (57-49) X (57-50) X (57-51) X (57-52) X (57-53) X (57-54) X (57-55) X (57-56) X (57-57)
57! = 57 X 56 X 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
57! = 40526919504877216755680601905432322134980384796226602145184481280000000000000
Example 3:-
What is the factorial of 58?Solution :-
We know that factorial formula for 58 is58! = 58 × (58-1) X (58-2) X (58-3) X (58-4) X (58-5) X (58-6) X (58-7) X (58-8) X (58-9) X (58-10) X (58-11) X (58-12) X (58-13) X (58-14) X (58-15) X (58-16) X (58-17) X (58-18) X (58-19) X (58-20) X (58-21) X (58-22) X (58-23) X (58-24) X (58-25) X (58-26) X (58-27) X (58-28) X (58-29) X (58-30) X (58-31) X (58-32) X (58-33) X (58-34) X (58-35) X (58-36) X (58-37) X (58-38) X (58-39) X (58-40) X (58-41) X (58-42) X (58-43) X (58-44) X (58-45) X (58-46) X (58-47) X (58-48) X (58-49) X (58-50) X (58-51) X (58-52) X (58-53) X (58-54) X (58-55) X (58-56) X (58-57) X (58-58) ..... 58 X 57 X 56 X 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 58 is
58! = 58 X (58-1) X (58-2) X (58-3) X (58-4) X (58-5) X (58-6) X (58-7) X (58-8) X (58-9) X (58-10) X (58-11) X (58-12) X (58-13) X (58-14) X (58-15) X (58-16) X (58-17) X (58-18) X (58-19) X (58-20) X (58-21) X (58-22) X (58-23) X (58-24) X (58-25) X (58-26) X (58-27) X (58-28) X (58-29) X (58-30) X (58-31) X (58-32) X (58-33) X (58-34) X (58-35) X (58-36) X (58-37) X (58-38) X (58-39) X (58-40) X (58-41) X (58-42) X (58-43) X (58-44) X (58-45) X (58-46) X (58-47) X (58-48) X (58-49) X (58-50) X (58-51) X (58-52) X (58-53) X (58-54) X (58-55) X (58-56) X (58-57) X (58-58)
58! = 58 X 57 X 56 X 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
58! = 2350561331282878571829474910515074683828862318181142924420699914240000000000000
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 55?
Click here for detailed step by step calculation for factorial of 55.
Check How many digits are there in 55 factorial?
The number of number of digits in 55 factorial is 74.
What is the meaning of 55 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 54?
The value of factorial of 54 is 230843697339241380472092742683027581083278564571807941132288000000000000.
What is the factorial of 58?
The value of factorial of 58 is 2350561331282878571829474910515074683828862318181142924420699914240000000000000.
What is the factorial of 57?
The value of factorial of 57 is 40526919504877216755680601905432322134980384796226602145184481280000000000000.