A:
Positive:
1 x 385939197 x 551341713 x 296876343 x 89753349 x 78763191 x 424109301 x 128219559 x 69041637 x 605871409 x 273912107 x 183173913 x 9863
Negative:
-1 x -38593919-7 x -5513417-13 x -2968763-43 x -897533-49 x -787631-91 x -424109-301 x -128219-559 x -69041-637 x -60587-1409 x -27391-2107 x -18317-3913 x -9863
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 38,593,919, 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 | 38,593,919 | |
| -1 | -38,593,919 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 38,593,919.
Example:
1 x 38,593,919 = 38,593,919
and
-1 x -38,593,919 = 38,593,919
Notice both answers equal 38,593,919
With that explanation out of the way, let's continue. Next, we take the number 38,593,919 and divide it by 2:
38,593,919 ÷ 2 = 19,296,959.5
If the quotient is a whole number, then 2 and 19,296,959.5 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 | 38,593,919 | |
| -1 | -38,593,919 |
Now, we try dividing 38,593,919 by 3:
38,593,919 ÷ 3 = 12,864,639.6667
If the quotient is a whole number, then 3 and 12,864,639.6667 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 | 38,593,919 | |
| -1 | -38,593,919 |
Let's try dividing by 4:
38,593,919 ÷ 4 = 9,648,479.75
If the quotient is a whole number, then 4 and 9,648,479.75 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 | 38,593,919 | |
| -1 | 38,593,919 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 43 | 49 | 91 | 301 | 559 | 637 | 1,409 | 2,107 | 3,913 | 9,863 | 18,317 | 27,391 | 60,587 | 69,041 | 128,219 | 424,109 | 787,631 | 897,533 | 2,968,763 | 5,513,417 | 38,593,919 |
| -1 | -7 | -13 | -43 | -49 | -91 | -301 | -559 | -637 | -1,409 | -2,107 | -3,913 | -9,863 | -18,317 | -27,391 | -60,587 | -69,041 | -128,219 | -424,109 | -787,631 | -897,533 | -2,968,763 | -5,513,417 | -38,593,919 |
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