A:
Positive:
1 x 41313231713 x 3177940917 x 2430190179 x 5229523221 x 18693771027 x 4022711343 x 30761917459 x 23663
Negative:
-1 x -413132317-13 x -31779409-17 x -24301901-79 x -5229523-221 x -1869377-1027 x -402271-1343 x -307619-17459 x -23663
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 413,132,317, 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 | 413,132,317 | |
| -1 | -413,132,317 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 413,132,317.
Example:
1 x 413,132,317 = 413,132,317
and
-1 x -413,132,317 = 413,132,317
Notice both answers equal 413,132,317
With that explanation out of the way, let's continue. Next, we take the number 413,132,317 and divide it by 2:
413,132,317 ÷ 2 = 206,566,158.5
If the quotient is a whole number, then 2 and 206,566,158.5 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 | 413,132,317 | |
| -1 | -413,132,317 |
Now, we try dividing 413,132,317 by 3:
413,132,317 ÷ 3 = 137,710,772.3333
If the quotient is a whole number, then 3 and 137,710,772.3333 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 | 413,132,317 | |
| -1 | -413,132,317 |
Let's try dividing by 4:
413,132,317 ÷ 4 = 103,283,079.25
If the quotient is a whole number, then 4 and 103,283,079.25 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 | 413,132,317 | |
| -1 | 413,132,317 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 79 | 221 | 1,027 | 1,343 | 17,459 | 23,663 | 307,619 | 402,271 | 1,869,377 | 5,229,523 | 24,301,901 | 31,779,409 | 413,132,317 |
| -1 | -13 | -17 | -79 | -221 | -1,027 | -1,343 | -17,459 | -23,663 | -307,619 | -402,271 | -1,869,377 | -5,229,523 | -24,301,901 | -31,779,409 | -413,132,317 |
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