A:
Positive:
1 x 2313430217 x 3304900313 x 1779561717 x 1360841391 x 2542231119 x 1944059221 x 10468011547 x 149543
Negative:
-1 x -231343021-7 x -33049003-13 x -17795617-17 x -13608413-91 x -2542231-119 x -1944059-221 x -1046801-1547 x -149543
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 231,343,021, 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 | 231,343,021 | |
| -1 | -231,343,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,343,021.
Example:
1 x 231,343,021 = 231,343,021
and
-1 x -231,343,021 = 231,343,021
Notice both answers equal 231,343,021
With that explanation out of the way, let's continue. Next, we take the number 231,343,021 and divide it by 2:
231,343,021 ÷ 2 = 115,671,510.5
If the quotient is a whole number, then 2 and 115,671,510.5 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 | 231,343,021 | |
| -1 | -231,343,021 |
Now, we try dividing 231,343,021 by 3:
231,343,021 ÷ 3 = 77,114,340.3333
If the quotient is a whole number, then 3 and 77,114,340.3333 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 | 231,343,021 | |
| -1 | -231,343,021 |
Let's try dividing by 4:
231,343,021 ÷ 4 = 57,835,755.25
If the quotient is a whole number, then 4 and 57,835,755.25 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 | 231,343,021 | |
| -1 | 231,343,021 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 17 | 91 | 119 | 221 | 1,547 | 149,543 | 1,046,801 | 1,944,059 | 2,542,231 | 13,608,413 | 17,795,617 | 33,049,003 | 231,343,021 |
| -1 | -7 | -13 | -17 | -91 | -119 | -221 | -1,547 | -149,543 | -1,046,801 | -1,944,059 | -2,542,231 | -13,608,413 | -17,795,617 | -33,049,003 | -231,343,021 |
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