A:
Positive:
1 x 3101240455 x 620248097 x 4430343511 x 2819309535 x 886068755 x 563861977 x 4027585385 x 805517
Negative:
-1 x -310124045-5 x -62024809-7 x -44303435-11 x -28193095-35 x -8860687-55 x -5638619-77 x -4027585-385 x -805517
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 310,124,045, 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 | 310,124,045 | |
| -1 | -310,124,045 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,124,045.
Example:
1 x 310,124,045 = 310,124,045
and
-1 x -310,124,045 = 310,124,045
Notice both answers equal 310,124,045
With that explanation out of the way, let's continue. Next, we take the number 310,124,045 and divide it by 2:
310,124,045 ÷ 2 = 155,062,022.5
If the quotient is a whole number, then 2 and 155,062,022.5 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 | 310,124,045 | |
| -1 | -310,124,045 |
Now, we try dividing 310,124,045 by 3:
310,124,045 ÷ 3 = 103,374,681.6667
If the quotient is a whole number, then 3 and 103,374,681.6667 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 | 310,124,045 | |
| -1 | -310,124,045 |
Let's try dividing by 4:
310,124,045 ÷ 4 = 77,531,011.25
If the quotient is a whole number, then 4 and 77,531,011.25 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 | 310,124,045 | |
| -1 | 310,124,045 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 35 | 55 | 77 | 385 | 805,517 | 4,027,585 | 5,638,619 | 8,860,687 | 28,193,095 | 44,303,435 | 62,024,809 | 310,124,045 |
| -1 | -5 | -7 | -11 | -35 | -55 | -77 | -385 | -805,517 | -4,027,585 | -5,638,619 | -8,860,687 | -28,193,095 | -44,303,435 | -62,024,809 | -310,124,045 |
Here are some more numbers to try:
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