A:
Positive:
1 x 3120117655 x 6240235313 x 2400090559 x 528833565 x 4800181295 x 1057667767 x 4067953835 x 81359
Negative:
-1 x -312011765-5 x -62402353-13 x -24000905-59 x -5288335-65 x -4800181-295 x -1057667-767 x -406795-3835 x -81359
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 312,011,765, 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 | 312,011,765 | |
| -1 | -312,011,765 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,011,765.
Example:
1 x 312,011,765 = 312,011,765
and
-1 x -312,011,765 = 312,011,765
Notice both answers equal 312,011,765
With that explanation out of the way, let's continue. Next, we take the number 312,011,765 and divide it by 2:
312,011,765 ÷ 2 = 156,005,882.5
If the quotient is a whole number, then 2 and 156,005,882.5 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 | 312,011,765 | |
| -1 | -312,011,765 |
Now, we try dividing 312,011,765 by 3:
312,011,765 ÷ 3 = 104,003,921.6667
If the quotient is a whole number, then 3 and 104,003,921.6667 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 | 312,011,765 | |
| -1 | -312,011,765 |
Let's try dividing by 4:
312,011,765 ÷ 4 = 78,002,941.25
If the quotient is a whole number, then 4 and 78,002,941.25 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 | 312,011,765 | |
| -1 | 312,011,765 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 59 | 65 | 295 | 767 | 3,835 | 81,359 | 406,795 | 1,057,667 | 4,800,181 | 5,288,335 | 24,000,905 | 62,402,353 | 312,011,765 |
| -1 | -5 | -13 | -59 | -65 | -295 | -767 | -3,835 | -81,359 | -406,795 | -1,057,667 | -4,800,181 | -5,288,335 | -24,000,905 | -62,402,353 | -312,011,765 |
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