A:
Positive:
1 x 2311211217 x 3301730311 x 2101101177 x 3001573509 x 4540693563 x 648675599 x 412795897 x 39193
Negative:
-1 x -231121121-7 x -33017303-11 x -21011011-77 x -3001573-509 x -454069-3563 x -64867-5599 x -41279-5897 x -39193
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 231,121,121, 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 | 231,121,121 | |
| -1 | -231,121,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,121,121.
Example:
1 x 231,121,121 = 231,121,121
and
-1 x -231,121,121 = 231,121,121
Notice both answers equal 231,121,121
With that explanation out of the way, let's continue. Next, we take the number 231,121,121 and divide it by 2:
231,121,121 ÷ 2 = 115,560,560.5
If the quotient is a whole number, then 2 and 115,560,560.5 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 | 231,121,121 | |
| -1 | -231,121,121 |
Now, we try dividing 231,121,121 by 3:
231,121,121 ÷ 3 = 77,040,373.6667
If the quotient is a whole number, then 3 and 77,040,373.6667 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 | 231,121,121 | |
| -1 | -231,121,121 |
Let's try dividing by 4:
231,121,121 ÷ 4 = 57,780,280.25
If the quotient is a whole number, then 4 and 57,780,280.25 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 | 231,121,121 | |
| -1 | 231,121,121 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 509 | 3,563 | 5,599 | 5,897 | 39,193 | 41,279 | 64,867 | 454,069 | 3,001,573 | 21,011,011 | 33,017,303 | 231,121,121 |
| -1 | -7 | -11 | -77 | -509 | -3,563 | -5,599 | -5,897 | -39,193 | -41,279 | -64,867 | -454,069 | -3,001,573 | -21,011,011 | -33,017,303 | -231,121,121 |
Here are some more numbers to try:
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