A:
Positive:
1 x 1311134097 x 1873048723 x 570058347 x 2789647161 x 814369329 x 3985211081 x 1212897567 x 17327
Negative:
-1 x -131113409-7 x -18730487-23 x -5700583-47 x -2789647-161 x -814369-329 x -398521-1081 x -121289-7567 x -17327
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 131,113,409, 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 | 131,113,409 | |
| -1 | -131,113,409 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,113,409.
Example:
1 x 131,113,409 = 131,113,409
and
-1 x -131,113,409 = 131,113,409
Notice both answers equal 131,113,409
With that explanation out of the way, let's continue. Next, we take the number 131,113,409 and divide it by 2:
131,113,409 ÷ 2 = 65,556,704.5
If the quotient is a whole number, then 2 and 65,556,704.5 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 | 131,113,409 | |
| -1 | -131,113,409 |
Now, we try dividing 131,113,409 by 3:
131,113,409 ÷ 3 = 43,704,469.6667
If the quotient is a whole number, then 3 and 43,704,469.6667 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 | 131,113,409 | |
| -1 | -131,113,409 |
Let's try dividing by 4:
131,113,409 ÷ 4 = 32,778,352.25
If the quotient is a whole number, then 4 and 32,778,352.25 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 | 131,113,409 | |
| -1 | 131,113,409 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 47 | 161 | 329 | 1,081 | 7,567 | 17,327 | 121,289 | 398,521 | 814,369 | 2,789,647 | 5,700,583 | 18,730,487 | 131,113,409 |
| -1 | -7 | -23 | -47 | -161 | -329 | -1,081 | -7,567 | -17,327 | -121,289 | -398,521 | -814,369 | -2,789,647 | -5,700,583 | -18,730,487 | -131,113,409 |
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