A:
Positive:
1 x 1323312137 x 1890445917 x 778418923 x 575353149 x 2700637119 x 1112027161 x 821933391 x 338443833 x 1588611127 x 1174192737 x 483496907 x 19159
Negative:
-1 x -132331213-7 x -18904459-17 x -7784189-23 x -5753531-49 x -2700637-119 x -1112027-161 x -821933-391 x -338443-833 x -158861-1127 x -117419-2737 x -48349-6907 x -19159
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 132,331,213, 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 | 132,331,213 | |
| -1 | -132,331,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 132,331,213.
Example:
1 x 132,331,213 = 132,331,213
and
-1 x -132,331,213 = 132,331,213
Notice both answers equal 132,331,213
With that explanation out of the way, let's continue. Next, we take the number 132,331,213 and divide it by 2:
132,331,213 ÷ 2 = 66,165,606.5
If the quotient is a whole number, then 2 and 66,165,606.5 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 | 132,331,213 | |
| -1 | -132,331,213 |
Now, we try dividing 132,331,213 by 3:
132,331,213 ÷ 3 = 44,110,404.3333
If the quotient is a whole number, then 3 and 44,110,404.3333 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 | 132,331,213 | |
| -1 | -132,331,213 |
Let's try dividing by 4:
132,331,213 ÷ 4 = 33,082,803.25
If the quotient is a whole number, then 4 and 33,082,803.25 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 | 132,331,213 | |
| -1 | 132,331,213 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 23 | 49 | 119 | 161 | 391 | 833 | 1,127 | 2,737 | 6,907 | 19,159 | 48,349 | 117,419 | 158,861 | 338,443 | 821,933 | 1,112,027 | 2,700,637 | 5,753,531 | 7,784,189 | 18,904,459 | 132,331,213 |
| -1 | -7 | -17 | -23 | -49 | -119 | -161 | -391 | -833 | -1,127 | -2,737 | -6,907 | -19,159 | -48,349 | -117,419 | -158,861 | -338,443 | -821,933 | -1,112,027 | -2,700,637 | -5,753,531 | -7,784,189 | -18,904,459 | -132,331,213 |
Here are some more numbers to try:
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