A:
Positive:
1 x 51243610731 x 1653019779 x 648653383 x 61739292449 x 2092432521 x 2032672573 x 1991596557 x 78151
Negative:
-1 x -512436107-31 x -16530197-79 x -6486533-83 x -6173929-2449 x -209243-2521 x -203267-2573 x -199159-6557 x -78151
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 512,436,107, 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 | 512,436,107 | |
| -1 | -512,436,107 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 512,436,107.
Example:
1 x 512,436,107 = 512,436,107
and
-1 x -512,436,107 = 512,436,107
Notice both answers equal 512,436,107
With that explanation out of the way, let's continue. Next, we take the number 512,436,107 and divide it by 2:
512,436,107 ÷ 2 = 256,218,053.5
If the quotient is a whole number, then 2 and 256,218,053.5 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 | 512,436,107 | |
| -1 | -512,436,107 |
Now, we try dividing 512,436,107 by 3:
512,436,107 ÷ 3 = 170,812,035.6667
If the quotient is a whole number, then 3 and 170,812,035.6667 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 | 512,436,107 | |
| -1 | -512,436,107 |
Let's try dividing by 4:
512,436,107 ÷ 4 = 128,109,026.75
If the quotient is a whole number, then 4 and 128,109,026.75 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 | 512,436,107 | |
| -1 | 512,436,107 |
If you did it right, you will end up with this table:
| 1 | 31 | 79 | 83 | 2,449 | 2,521 | 2,573 | 6,557 | 78,151 | 199,159 | 203,267 | 209,243 | 6,173,929 | 6,486,533 | 16,530,197 | 512,436,107 |
| -1 | -31 | -79 | -83 | -2,449 | -2,521 | -2,573 | -6,557 | -78,151 | -199,159 | -203,267 | -209,243 | -6,173,929 | -6,486,533 | -16,530,197 | -512,436,107 |
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