A:
Positive:
1 x 4130231355 x 826046277 x 5900330535 x 1180066141 x 10073735205 x 2014747287 x 14391051435 x 287821
Negative:
-1 x -413023135-5 x -82604627-7 x -59003305-35 x -11800661-41 x -10073735-205 x -2014747-287 x -1439105-1435 x -287821
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 413,023,135, 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 | 413,023,135 | |
| -1 | -413,023,135 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 413,023,135.
Example:
1 x 413,023,135 = 413,023,135
and
-1 x -413,023,135 = 413,023,135
Notice both answers equal 413,023,135
With that explanation out of the way, let's continue. Next, we take the number 413,023,135 and divide it by 2:
413,023,135 ÷ 2 = 206,511,567.5
If the quotient is a whole number, then 2 and 206,511,567.5 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 | 413,023,135 | |
| -1 | -413,023,135 |
Now, we try dividing 413,023,135 by 3:
413,023,135 ÷ 3 = 137,674,378.3333
If the quotient is a whole number, then 3 and 137,674,378.3333 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 | 413,023,135 | |
| -1 | -413,023,135 |
Let's try dividing by 4:
413,023,135 ÷ 4 = 103,255,783.75
If the quotient is a whole number, then 4 and 103,255,783.75 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 | 413,023,135 | |
| -1 | 413,023,135 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 41 | 205 | 287 | 1,435 | 287,821 | 1,439,105 | 2,014,747 | 10,073,735 | 11,800,661 | 59,003,305 | 82,604,627 | 413,023,135 |
| -1 | -5 | -7 | -35 | -41 | -205 | -287 | -1,435 | -287,821 | -1,439,105 | -2,014,747 | -10,073,735 | -11,800,661 | -59,003,305 | -82,604,627 | -413,023,135 |
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