A:
Positive:
1 x 2322210317 x 3317443331 x 749100147 x 4940873217 x 1070143329 x 7058391457 x 15938310199 x 22769
Negative:
-1 x -232221031-7 x -33174433-31 x -7491001-47 x -4940873-217 x -1070143-329 x -705839-1457 x -159383-10199 x -22769
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 232,221,031, 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 | 232,221,031 | |
| -1 | -232,221,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 232,221,031.
Example:
1 x 232,221,031 = 232,221,031
and
-1 x -232,221,031 = 232,221,031
Notice both answers equal 232,221,031
With that explanation out of the way, let's continue. Next, we take the number 232,221,031 and divide it by 2:
232,221,031 ÷ 2 = 116,110,515.5
If the quotient is a whole number, then 2 and 116,110,515.5 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 | 232,221,031 | |
| -1 | -232,221,031 |
Now, we try dividing 232,221,031 by 3:
232,221,031 ÷ 3 = 77,407,010.3333
If the quotient is a whole number, then 3 and 77,407,010.3333 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 | 232,221,031 | |
| -1 | -232,221,031 |
Let's try dividing by 4:
232,221,031 ÷ 4 = 58,055,257.75
If the quotient is a whole number, then 4 and 58,055,257.75 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 | 232,221,031 | |
| -1 | 232,221,031 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 47 | 217 | 329 | 1,457 | 10,199 | 22,769 | 159,383 | 705,839 | 1,070,143 | 4,940,873 | 7,491,001 | 33,174,433 | 232,221,031 |
| -1 | -7 | -31 | -47 | -217 | -329 | -1,457 | -10,199 | -22,769 | -159,383 | -705,839 | -1,070,143 | -4,940,873 | -7,491,001 | -33,174,433 | -232,221,031 |
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