A:
Positive:
1 x 121253097 x 173218731 x 39113971 x 170779217 x 55877497 x 24397787 x 154072201 x 5509
Negative:
-1 x -12125309-7 x -1732187-31 x -391139-71 x -170779-217 x -55877-497 x -24397-787 x -15407-2201 x -5509
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 12,125,309, 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 | 12,125,309 | |
| -1 | -12,125,309 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,125,309.
Example:
1 x 12,125,309 = 12,125,309
and
-1 x -12,125,309 = 12,125,309
Notice both answers equal 12,125,309
With that explanation out of the way, let's continue. Next, we take the number 12,125,309 and divide it by 2:
12,125,309 ÷ 2 = 6,062,654.5
If the quotient is a whole number, then 2 and 6,062,654.5 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 | 12,125,309 | |
| -1 | -12,125,309 |
Now, we try dividing 12,125,309 by 3:
12,125,309 ÷ 3 = 4,041,769.6667
If the quotient is a whole number, then 3 and 4,041,769.6667 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 | 12,125,309 | |
| -1 | -12,125,309 |
Let's try dividing by 4:
12,125,309 ÷ 4 = 3,031,327.25
If the quotient is a whole number, then 4 and 3,031,327.25 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 | 12,125,309 | |
| -1 | 12,125,309 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 71 | 217 | 497 | 787 | 2,201 | 5,509 | 15,407 | 24,397 | 55,877 | 170,779 | 391,139 | 1,732,187 | 12,125,309 |
| -1 | -7 | -31 | -71 | -217 | -497 | -787 | -2,201 | -5,509 | -15,407 | -24,397 | -55,877 | -170,779 | -391,139 | -1,732,187 | -12,125,309 |
Here are some more numbers to try:
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