A:
Positive:
1 x 3131440137 x 4473485913 x 2408800191 x 3441143173 x 18100811211 x 2585832249 x 13923715743 x 19891
Negative:
-1 x -313144013-7 x -44734859-13 x -24088001-91 x -3441143-173 x -1810081-1211 x -258583-2249 x -139237-15743 x -19891
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 313,144,013, 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 | 313,144,013 | |
| -1 | -313,144,013 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,144,013.
Example:
1 x 313,144,013 = 313,144,013
and
-1 x -313,144,013 = 313,144,013
Notice both answers equal 313,144,013
With that explanation out of the way, let's continue. Next, we take the number 313,144,013 and divide it by 2:
313,144,013 ÷ 2 = 156,572,006.5
If the quotient is a whole number, then 2 and 156,572,006.5 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 | 313,144,013 | |
| -1 | -313,144,013 |
Now, we try dividing 313,144,013 by 3:
313,144,013 ÷ 3 = 104,381,337.6667
If the quotient is a whole number, then 3 and 104,381,337.6667 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 | 313,144,013 | |
| -1 | -313,144,013 |
Let's try dividing by 4:
313,144,013 ÷ 4 = 78,286,003.25
If the quotient is a whole number, then 4 and 78,286,003.25 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 | 313,144,013 | |
| -1 | 313,144,013 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 173 | 1,211 | 2,249 | 15,743 | 19,891 | 139,237 | 258,583 | 1,810,081 | 3,441,143 | 24,088,001 | 44,734,859 | 313,144,013 |
| -1 | -7 | -13 | -91 | -173 | -1,211 | -2,249 | -15,743 | -19,891 | -139,237 | -258,583 | -1,810,081 | -3,441,143 | -24,088,001 | -44,734,859 | -313,144,013 |
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