A:
Positive:
1 x 1210573111 x 110052129 x 417439137 x 88363277 x 43703319 x 379491507 x 80333047 x 3973
Negative:
-1 x -12105731-11 x -1100521-29 x -417439-137 x -88363-277 x -43703-319 x -37949-1507 x -8033-3047 x -3973
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 12,105,731, 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 | 12,105,731 | |
| -1 | -12,105,731 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,105,731.
Example:
1 x 12,105,731 = 12,105,731
and
-1 x -12,105,731 = 12,105,731
Notice both answers equal 12,105,731
With that explanation out of the way, let's continue. Next, we take the number 12,105,731 and divide it by 2:
12,105,731 ÷ 2 = 6,052,865.5
If the quotient is a whole number, then 2 and 6,052,865.5 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 | 12,105,731 | |
| -1 | -12,105,731 |
Now, we try dividing 12,105,731 by 3:
12,105,731 ÷ 3 = 4,035,243.6667
If the quotient is a whole number, then 3 and 4,035,243.6667 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 | 12,105,731 | |
| -1 | -12,105,731 |
Let's try dividing by 4:
12,105,731 ÷ 4 = 3,026,432.75
If the quotient is a whole number, then 4 and 3,026,432.75 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 | 12,105,731 | |
| -1 | 12,105,731 |
If you did it right, you will end up with this table:
| 1 | 11 | 29 | 137 | 277 | 319 | 1,507 | 3,047 | 3,973 | 8,033 | 37,949 | 43,703 | 88,363 | 417,439 | 1,100,521 | 12,105,731 |
| -1 | -11 | -29 | -137 | -277 | -319 | -1,507 | -3,047 | -3,973 | -8,033 | -37,949 | -43,703 | -88,363 | -417,439 | -1,100,521 | -12,105,731 |
Here are some more numbers to try:
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