A:
Positive:
1 x 1313320197 x 1876171713 x 1010246343 x 305423391 x 1443209301 x 436319559 x 2349413913 x 33563
Negative:
-1 x -131332019-7 x -18761717-13 x -10102463-43 x -3054233-91 x -1443209-301 x -436319-559 x -234941-3913 x -33563
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 131,332,019, 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 | 131,332,019 | |
| -1 | -131,332,019 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,332,019.
Example:
1 x 131,332,019 = 131,332,019
and
-1 x -131,332,019 = 131,332,019
Notice both answers equal 131,332,019
With that explanation out of the way, let's continue. Next, we take the number 131,332,019 and divide it by 2:
131,332,019 ÷ 2 = 65,666,009.5
If the quotient is a whole number, then 2 and 65,666,009.5 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 | 131,332,019 | |
| -1 | -131,332,019 |
Now, we try dividing 131,332,019 by 3:
131,332,019 ÷ 3 = 43,777,339.6667
If the quotient is a whole number, then 3 and 43,777,339.6667 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 | 131,332,019 | |
| -1 | -131,332,019 |
Let's try dividing by 4:
131,332,019 ÷ 4 = 32,833,004.75
If the quotient is a whole number, then 4 and 32,833,004.75 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 | 131,332,019 | |
| -1 | 131,332,019 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 43 | 91 | 301 | 559 | 3,913 | 33,563 | 234,941 | 436,319 | 1,443,209 | 3,054,233 | 10,102,463 | 18,761,717 | 131,332,019 |
| -1 | -7 | -13 | -43 | -91 | -301 | -559 | -3,913 | -33,563 | -234,941 | -436,319 | -1,443,209 | -3,054,233 | -10,102,463 | -18,761,717 | -131,332,019 |
Here are some more numbers to try:
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