A:
Positive:
1 x 2011311655 x 4022623317 x 1183124585 x 2366249967 x 2079952447 x 821954835 x 4159912235 x 16439
Negative:
-1 x -201131165-5 x -40226233-17 x -11831245-85 x -2366249-967 x -207995-2447 x -82195-4835 x -41599-12235 x -16439
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 201,131,165, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 201,131,165 | |
| -1 | -201,131,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,131,165.
Example:
1 x 201,131,165 = 201,131,165
and
-1 x -201,131,165 = 201,131,165
Notice both answers equal 201,131,165
With that explanation out of the way, let's continue. Next, we take the number 201,131,165 and divide it by 2:
201,131,165 ÷ 2 = 100,565,582.5
If the quotient is a whole number, then 2 and 100,565,582.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 201,131,165 | |
| -1 | -201,131,165 |
Now, we try dividing 201,131,165 by 3:
201,131,165 ÷ 3 = 67,043,721.6667
If the quotient is a whole number, then 3 and 67,043,721.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 201,131,165 | |
| -1 | -201,131,165 |
Let's try dividing by 4:
201,131,165 ÷ 4 = 50,282,791.25
If the quotient is a whole number, then 4 and 50,282,791.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 201,131,165 | |
| -1 | 201,131,165 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 967 | 2,447 | 4,835 | 12,235 | 16,439 | 41,599 | 82,195 | 207,995 | 2,366,249 | 11,831,245 | 40,226,233 | 201,131,165 |
| -1 | -5 | -17 | -85 | -967 | -2,447 | -4,835 | -12,235 | -16,439 | -41,599 | -82,195 | -207,995 | -2,366,249 | -11,831,245 | -40,226,233 | -201,131,165 |
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