A:
Positive:
1 x 3127006617 x 4467152313 x 2405389791 x 3436271197 x 15873131379 x 2267592561 x 12210117443 x 17927
Negative:
-1 x -312700661-7 x -44671523-13 x -24053897-91 x -3436271-197 x -1587313-1379 x -226759-2561 x -122101-17443 x -17927
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 312,700,661, 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 | 312,700,661 | |
| -1 | -312,700,661 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,700,661.
Example:
1 x 312,700,661 = 312,700,661
and
-1 x -312,700,661 = 312,700,661
Notice both answers equal 312,700,661
With that explanation out of the way, let's continue. Next, we take the number 312,700,661 and divide it by 2:
312,700,661 ÷ 2 = 156,350,330.5
If the quotient is a whole number, then 2 and 156,350,330.5 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 | 312,700,661 | |
| -1 | -312,700,661 |
Now, we try dividing 312,700,661 by 3:
312,700,661 ÷ 3 = 104,233,553.6667
If the quotient is a whole number, then 3 and 104,233,553.6667 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 | 312,700,661 | |
| -1 | -312,700,661 |
Let's try dividing by 4:
312,700,661 ÷ 4 = 78,175,165.25
If the quotient is a whole number, then 4 and 78,175,165.25 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 | 312,700,661 | |
| -1 | 312,700,661 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 197 | 1,379 | 2,561 | 17,443 | 17,927 | 122,101 | 226,759 | 1,587,313 | 3,436,271 | 24,053,897 | 44,671,523 | 312,700,661 |
| -1 | -7 | -13 | -91 | -197 | -1,379 | -2,561 | -17,443 | -17,927 | -122,101 | -226,759 | -1,587,313 | -3,436,271 | -24,053,897 | -44,671,523 | -312,700,661 |
Here are some more numbers to try:
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