A:
Positive:
1 x 5002120277 x 7145886123 x 21748349161 x 3106907173 x 28913991211 x 4130573979 x 12571317959 x 27853
Negative:
-1 x -500212027-7 x -71458861-23 x -21748349-161 x -3106907-173 x -2891399-1211 x -413057-3979 x -125713-17959 x -27853
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 500,212,027, 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 | 500,212,027 | |
| -1 | -500,212,027 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 500,212,027.
Example:
1 x 500,212,027 = 500,212,027
and
-1 x -500,212,027 = 500,212,027
Notice both answers equal 500,212,027
With that explanation out of the way, let's continue. Next, we take the number 500,212,027 and divide it by 2:
500,212,027 ÷ 2 = 250,106,013.5
If the quotient is a whole number, then 2 and 250,106,013.5 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 | 500,212,027 | |
| -1 | -500,212,027 |
Now, we try dividing 500,212,027 by 3:
500,212,027 ÷ 3 = 166,737,342.3333
If the quotient is a whole number, then 3 and 166,737,342.3333 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 | 500,212,027 | |
| -1 | -500,212,027 |
Let's try dividing by 4:
500,212,027 ÷ 4 = 125,053,006.75
If the quotient is a whole number, then 4 and 125,053,006.75 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 | 500,212,027 | |
| -1 | 500,212,027 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 173 | 1,211 | 3,979 | 17,959 | 27,853 | 125,713 | 413,057 | 2,891,399 | 3,106,907 | 21,748,349 | 71,458,861 | 500,212,027 |
| -1 | -7 | -23 | -161 | -173 | -1,211 | -3,979 | -17,959 | -27,853 | -125,713 | -413,057 | -2,891,399 | -3,106,907 | -21,748,349 | -71,458,861 | -500,212,027 |
Here are some more numbers to try:
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