A:
Positive:
1 x 5061353997 x 7230505711 x 4601230977 x 6573187131 x 3863629917 x 5519471441 x 35123910087 x 50177
Negative:
-1 x -506135399-7 x -72305057-11 x -46012309-77 x -6573187-131 x -3863629-917 x -551947-1441 x -351239-10087 x -50177
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 506,135,399, 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 | 506,135,399 | |
| -1 | -506,135,399 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 506,135,399.
Example:
1 x 506,135,399 = 506,135,399
and
-1 x -506,135,399 = 506,135,399
Notice both answers equal 506,135,399
With that explanation out of the way, let's continue. Next, we take the number 506,135,399 and divide it by 2:
506,135,399 ÷ 2 = 253,067,699.5
If the quotient is a whole number, then 2 and 253,067,699.5 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 | 506,135,399 | |
| -1 | -506,135,399 |
Now, we try dividing 506,135,399 by 3:
506,135,399 ÷ 3 = 168,711,799.6667
If the quotient is a whole number, then 3 and 168,711,799.6667 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 | 506,135,399 | |
| -1 | -506,135,399 |
Let's try dividing by 4:
506,135,399 ÷ 4 = 126,533,849.75
If the quotient is a whole number, then 4 and 126,533,849.75 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 | 506,135,399 | |
| -1 | 506,135,399 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 131 | 917 | 1,441 | 10,087 | 50,177 | 351,239 | 551,947 | 3,863,629 | 6,573,187 | 46,012,309 | 72,305,057 | 506,135,399 |
| -1 | -7 | -11 | -77 | -131 | -917 | -1,441 | -10,087 | -50,177 | -351,239 | -551,947 | -3,863,629 | -6,573,187 | -46,012,309 | -72,305,057 | -506,135,399 |
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