A:
Positive:
1 x 5120315697 x 7314736729 x 1765626153 x 9660973203 x 2522323371 x 13801391537 x 33313710759 x 47591
Negative:
-1 x -512031569-7 x -73147367-29 x -17656261-53 x -9660973-203 x -2522323-371 x -1380139-1537 x -333137-10759 x -47591
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 512,031,569, 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 | 512,031,569 | |
| -1 | -512,031,569 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 512,031,569.
Example:
1 x 512,031,569 = 512,031,569
and
-1 x -512,031,569 = 512,031,569
Notice both answers equal 512,031,569
With that explanation out of the way, let's continue. Next, we take the number 512,031,569 and divide it by 2:
512,031,569 ÷ 2 = 256,015,784.5
If the quotient is a whole number, then 2 and 256,015,784.5 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 | 512,031,569 | |
| -1 | -512,031,569 |
Now, we try dividing 512,031,569 by 3:
512,031,569 ÷ 3 = 170,677,189.6667
If the quotient is a whole number, then 3 and 170,677,189.6667 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 | 512,031,569 | |
| -1 | -512,031,569 |
Let's try dividing by 4:
512,031,569 ÷ 4 = 128,007,892.25
If the quotient is a whole number, then 4 and 128,007,892.25 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 | 512,031,569 | |
| -1 | 512,031,569 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 53 | 203 | 371 | 1,537 | 10,759 | 47,591 | 333,137 | 1,380,139 | 2,522,323 | 9,660,973 | 17,656,261 | 73,147,367 | 512,031,569 |
| -1 | -7 | -29 | -53 | -203 | -371 | -1,537 | -10,759 | -47,591 | -333,137 | -1,380,139 | -2,522,323 | -9,660,973 | -17,656,261 | -73,147,367 | -512,031,569 |
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