A:
Positive:
1 x 12312112119 x 648005983 x 1483387101 x 1219021773 x 1592771577 x 780731919 x 641598383 x 14687
Negative:
-1 x -123121121-19 x -6480059-83 x -1483387-101 x -1219021-773 x -159277-1577 x -78073-1919 x -64159-8383 x -14687
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 123,121,121, 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 | 123,121,121 | |
| -1 | -123,121,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,121,121.
Example:
1 x 123,121,121 = 123,121,121
and
-1 x -123,121,121 = 123,121,121
Notice both answers equal 123,121,121
With that explanation out of the way, let's continue. Next, we take the number 123,121,121 and divide it by 2:
123,121,121 ÷ 2 = 61,560,560.5
If the quotient is a whole number, then 2 and 61,560,560.5 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 | 123,121,121 | |
| -1 | -123,121,121 |
Now, we try dividing 123,121,121 by 3:
123,121,121 ÷ 3 = 41,040,373.6667
If the quotient is a whole number, then 3 and 41,040,373.6667 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 | 123,121,121 | |
| -1 | -123,121,121 |
Let's try dividing by 4:
123,121,121 ÷ 4 = 30,780,280.25
If the quotient is a whole number, then 4 and 30,780,280.25 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 | 123,121,121 | |
| -1 | 123,121,121 |
If you did it right, you will end up with this table:
| 1 | 19 | 83 | 101 | 773 | 1,577 | 1,919 | 8,383 | 14,687 | 64,159 | 78,073 | 159,277 | 1,219,021 | 1,483,387 | 6,480,059 | 123,121,121 |
| -1 | -19 | -83 | -101 | -773 | -1,577 | -1,919 | -8,383 | -14,687 | -64,159 | -78,073 | -159,277 | -1,219,021 | -1,483,387 | -6,480,059 | -123,121,121 |
Here are some more numbers to try:
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