A:
Positive:
1 x 1231097 x 1758743 x 2863301 x 409
Negative:
-1 x -123109-7 x -17587-43 x -2863-301 x -409
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 123,109, 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 | 123,109 | |
| -1 | -123,109 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,109.
Example:
1 x 123,109 = 123,109
and
-1 x -123,109 = 123,109
Notice both answers equal 123,109
With that explanation out of the way, let's continue. Next, we take the number 123,109 and divide it by 2:
123,109 ÷ 2 = 61,554.5
If the quotient is a whole number, then 2 and 61,554.5 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 | 123,109 | |
| -1 | -123,109 |
Now, we try dividing 123,109 by 3:
123,109 ÷ 3 = 41,036.3333
If the quotient is a whole number, then 3 and 41,036.3333 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 | 123,109 | |
| -1 | -123,109 |
Let's try dividing by 4:
123,109 ÷ 4 = 30,777.25
If the quotient is a whole number, then 4 and 30,777.25 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 | 123,109 | |
| -1 | 123,109 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 301 | 409 | 2,863 | 17,587 | 123,109 |
| -1 | -7 | -43 | -301 | -409 | -2,863 | -17,587 | -123,109 |
Here are some more numbers to try:
Try the factor calculator