A:
Positive:
1 x 1312113117 x 1874447311 x 1192830177 x 1704043121 x 1084391847 x 1549131331 x 985819317 x 14083
Negative:
-1 x -131211311-7 x -18744473-11 x -11928301-77 x -1704043-121 x -1084391-847 x -154913-1331 x -98581-9317 x -14083
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 131,211,311, 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 | 131,211,311 | |
| -1 | -131,211,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,211,311.
Example:
1 x 131,211,311 = 131,211,311
and
-1 x -131,211,311 = 131,211,311
Notice both answers equal 131,211,311
With that explanation out of the way, let's continue. Next, we take the number 131,211,311 and divide it by 2:
131,211,311 ÷ 2 = 65,605,655.5
If the quotient is a whole number, then 2 and 65,605,655.5 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 | 131,211,311 | |
| -1 | -131,211,311 |
Now, we try dividing 131,211,311 by 3:
131,211,311 ÷ 3 = 43,737,103.6667
If the quotient is a whole number, then 3 and 43,737,103.6667 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 | 131,211,311 | |
| -1 | -131,211,311 |
Let's try dividing by 4:
131,211,311 ÷ 4 = 32,802,827.75
If the quotient is a whole number, then 4 and 32,802,827.75 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 | 131,211,311 | |
| -1 | 131,211,311 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 121 | 847 | 1,331 | 9,317 | 14,083 | 98,581 | 154,913 | 1,084,391 | 1,704,043 | 11,928,301 | 18,744,473 | 131,211,311 |
| -1 | -7 | -11 | -77 | -121 | -847 | -1,331 | -9,317 | -14,083 | -98,581 | -154,913 | -1,084,391 | -1,704,043 | -11,928,301 | -18,744,473 | -131,211,311 |
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