A:
Positive:
1 x 51261712711 x 4660155789 x 5759743139 x 3687893979 x 5236131529 x 3352633767 x 13608112371 x 41437
Negative:
-1 x -512617127-11 x -46601557-89 x -5759743-139 x -3687893-979 x -523613-1529 x -335263-3767 x -136081-12371 x -41437
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 512,617,127, 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 | 512,617,127 | |
| -1 | -512,617,127 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 512,617,127.
Example:
1 x 512,617,127 = 512,617,127
and
-1 x -512,617,127 = 512,617,127
Notice both answers equal 512,617,127
With that explanation out of the way, let's continue. Next, we take the number 512,617,127 and divide it by 2:
512,617,127 ÷ 2 = 256,308,563.5
If the quotient is a whole number, then 2 and 256,308,563.5 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 | 512,617,127 | |
| -1 | -512,617,127 |
Now, we try dividing 512,617,127 by 3:
512,617,127 ÷ 3 = 170,872,375.6667
If the quotient is a whole number, then 3 and 170,872,375.6667 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 | 512,617,127 | |
| -1 | -512,617,127 |
Let's try dividing by 4:
512,617,127 ÷ 4 = 128,154,281.75
If the quotient is a whole number, then 4 and 128,154,281.75 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 | 512,617,127 | |
| -1 | 512,617,127 |
If you did it right, you will end up with this table:
| 1 | 11 | 89 | 139 | 979 | 1,529 | 3,767 | 12,371 | 41,437 | 136,081 | 335,263 | 523,613 | 3,687,893 | 5,759,743 | 46,601,557 | 512,617,127 |
| -1 | -11 | -89 | -139 | -979 | -1,529 | -3,767 | -12,371 | -41,437 | -136,081 | -335,263 | -523,613 | -3,687,893 | -5,759,743 | -46,601,557 | -512,617,127 |
Here are some more numbers to try:
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