A:
Positive:
1 x 50617460311 x 4601587331 x 16328213341 x 1484383397 x 12749993739 x 1353774367 x 11590912307 x 41129
Negative:
-1 x -506174603-11 x -46015873-31 x -16328213-341 x -1484383-397 x -1274999-3739 x -135377-4367 x -115909-12307 x -41129
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 506,174,603, 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 | 506,174,603 | |
| -1 | -506,174,603 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 506,174,603.
Example:
1 x 506,174,603 = 506,174,603
and
-1 x -506,174,603 = 506,174,603
Notice both answers equal 506,174,603
With that explanation out of the way, let's continue. Next, we take the number 506,174,603 and divide it by 2:
506,174,603 ÷ 2 = 253,087,301.5
If the quotient is a whole number, then 2 and 253,087,301.5 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 | 506,174,603 | |
| -1 | -506,174,603 |
Now, we try dividing 506,174,603 by 3:
506,174,603 ÷ 3 = 168,724,867.6667
If the quotient is a whole number, then 3 and 168,724,867.6667 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 | 506,174,603 | |
| -1 | -506,174,603 |
Let's try dividing by 4:
506,174,603 ÷ 4 = 126,543,650.75
If the quotient is a whole number, then 4 and 126,543,650.75 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 | 506,174,603 | |
| -1 | 506,174,603 |
If you did it right, you will end up with this table:
| 1 | 11 | 31 | 341 | 397 | 3,739 | 4,367 | 12,307 | 41,129 | 115,909 | 135,377 | 1,274,999 | 1,484,383 | 16,328,213 | 46,015,873 | 506,174,603 |
| -1 | -11 | -31 | -341 | -397 | -3,739 | -4,367 | -12,307 | -41,129 | -115,909 | -135,377 | -1,274,999 | -1,484,383 | -16,328,213 | -46,015,873 | -506,174,603 |
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