A:
Positive:
1 x 13131322113 x 1010101783 x 1582087131 x 1002391929 x 1413491079 x 1216991703 x 7710710873 x 12077
Negative:
-1 x -131313221-13 x -10101017-83 x -1582087-131 x -1002391-929 x -141349-1079 x -121699-1703 x -77107-10873 x -12077
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 131,313,221, 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 | 131,313,221 | |
| -1 | -131,313,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,313,221.
Example:
1 x 131,313,221 = 131,313,221
and
-1 x -131,313,221 = 131,313,221
Notice both answers equal 131,313,221
With that explanation out of the way, let's continue. Next, we take the number 131,313,221 and divide it by 2:
131,313,221 ÷ 2 = 65,656,610.5
If the quotient is a whole number, then 2 and 65,656,610.5 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 | 131,313,221 | |
| -1 | -131,313,221 |
Now, we try dividing 131,313,221 by 3:
131,313,221 ÷ 3 = 43,771,073.6667
If the quotient is a whole number, then 3 and 43,771,073.6667 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 | 131,313,221 | |
| -1 | -131,313,221 |
Let's try dividing by 4:
131,313,221 ÷ 4 = 32,828,305.25
If the quotient is a whole number, then 4 and 32,828,305.25 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 | 131,313,221 | |
| -1 | 131,313,221 |
If you did it right, you will end up with this table:
| 1 | 13 | 83 | 131 | 929 | 1,079 | 1,703 | 10,873 | 12,077 | 77,107 | 121,699 | 141,349 | 1,002,391 | 1,582,087 | 10,101,017 | 131,313,221 |
| -1 | -13 | -83 | -131 | -929 | -1,079 | -1,703 | -10,873 | -12,077 | -77,107 | -121,699 | -141,349 | -1,002,391 | -1,582,087 | -10,101,017 | -131,313,221 |
Here are some more numbers to try:
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