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Factorial of 51 is 1551118753287382280224243016469303211063259720016986112000000000000 | What is a factorial of 51 ?

How to calculate the factorial of 51
Lets check the detailed answer
51! is exactly: 1551118753287382280224243016469303211063259720016986112000000000000
The number of trailing zeros in 51! is 12.
The number of digits in 51 factorial is 67.
The factorial of 51 is 1551118753287382280224243016469303211063259720016986112000000000000 calculated, through its definition, this way:
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 51?
Definition of factorial of 51
The factorial is a basically a quantity which is defined for integer value 51 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 51 is calculated as 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 51

For 51 is natural number which is greater than or equal to 1. Then we can have the formula as
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 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 51 :-
- Check How many digits are there in 51 factorial?
- What is the factorial of 51?
- How many trailing zeros are in 51 factorial?
- What is the last digits of factorial of 51?
Table for factorial of 1 to 51
# | 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 |
Factorial examples
Example 1:-
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
Example 2:-
What is the factorial of 53?Solution :-
We know that factorial formula for 52 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
Example 3:-
What is the factorial of 54?Solution :-
We know that factorial formula for 54 is54! = 54 × (54-1) X (54-2) X (54-3) X (54-4) X (54-5) X (54-6) X (54-7) X (54-8) X (54-9) X (54-10) X (54-11) X (54-12) X (54-13) X (54-14) X (54-15) X (54-16) X (54-17) X (54-18) X (54-19) X (54-20) X (54-21) X (54-22) X (54-23) X (54-24) X (54-25) X (54-26) X (54-27) X (54-28) X (54-29) X (54-30) X (54-31) X (54-32) X (54-33) X (54-34) X (54-35) X (54-36) X (54-37) X (54-38) X (54-39) X (54-40) X (54-41) X (54-42) X (54-43) X (54-44) X (54-45) X (54-46) X (54-47) X (54-48) X (54-49) X (54-50) X (54-51) X (54-52) X (54-53) X (54-54) ..... 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 54 is
54! = 54 X (54-1) X (54-2) X (54-3) X (54-4) X (54-5) X (54-6) X (54-7) X (54-8) X (54-9) X (54-10) X (54-11) X (54-12) X (54-13) X (54-14) X (54-15) X (54-16) X (54-17) X (54-18) X (54-19) X (54-20) X (54-21) X (54-22) X (54-23) X (54-24) X (54-25) X (54-26) X (54-27) X (54-28) X (54-29) X (54-30) X (54-31) X (54-32) X (54-33) X (54-34) X (54-35) X (54-36) X (54-37) X (54-38) X (54-39) X (54-40) X (54-41) X (54-42) X (54-43) X (54-44) X (54-45) X (54-46) X (54-47) X (54-48) X (54-49) X (54-50) X (54-51) X (54-52) X (54-53) X (54-54)
54! = 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
54! = 230843697339241380472092742683027581083278564571807941132288000000000000
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 51?
Click here for detailed step by step calculation for factorial of 51.
Check How many digits are there in 51 factorial?
The number of number of digits in 51 factorial is 67.
What is the meaning of 51 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 50?
The value of factorial of 50 is 30414093201713378043612608166064768844377641568960512000000000000.
What is the factorial of 54?
The value of factorial of 54 is 230843697339241380472092742683027581083278564571807941132288000000000000.
What is the factorial of 53?
The value of factorial of 53 is 4274883284060025564298013753389399649690343788366813724672000000000000.