A:
Positive:
1 x 25676631717 x 1510390171 x 3616427199 x 12902831069 x 2401931207 x 2127313383 x 7589914129 x 18173
Negative:
-1 x -256766317-17 x -15103901-71 x -3616427-199 x -1290283-1069 x -240193-1207 x -212731-3383 x -75899-14129 x -18173
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 256,766,317, 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 | 256,766,317 | |
| -1 | -256,766,317 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 256,766,317.
Example:
1 x 256,766,317 = 256,766,317
and
-1 x -256,766,317 = 256,766,317
Notice both answers equal 256,766,317
With that explanation out of the way, let's continue. Next, we take the number 256,766,317 and divide it by 2:
256,766,317 ÷ 2 = 128,383,158.5
If the quotient is a whole number, then 2 and 128,383,158.5 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 | 256,766,317 | |
| -1 | -256,766,317 |
Now, we try dividing 256,766,317 by 3:
256,766,317 ÷ 3 = 85,588,772.3333
If the quotient is a whole number, then 3 and 85,588,772.3333 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 | 256,766,317 | |
| -1 | -256,766,317 |
Let's try dividing by 4:
256,766,317 ÷ 4 = 64,191,579.25
If the quotient is a whole number, then 4 and 64,191,579.25 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 | 256,766,317 | |
| -1 | 256,766,317 |
If you did it right, you will end up with this table:
| 1 | 17 | 71 | 199 | 1,069 | 1,207 | 3,383 | 14,129 | 18,173 | 75,899 | 212,731 | 240,193 | 1,290,283 | 3,616,427 | 15,103,901 | 256,766,317 |
| -1 | -17 | -71 | -199 | -1,069 | -1,207 | -3,383 | -14,129 | -18,173 | -75,899 | -212,731 | -240,193 | -1,290,283 | -3,616,427 | -15,103,901 | -256,766,317 |
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