A:
Positive:
1 x 3131031055 x 626206217 x 4472901535 x 89458031013 x 3090855065 x 618177091 x 441558831 x 35455
Negative:
-1 x -313103105-5 x -62620621-7 x -44729015-35 x -8945803-1013 x -309085-5065 x -61817-7091 x -44155-8831 x -35455
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 313,103,105, 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 | 313,103,105 | |
| -1 | -313,103,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,103,105.
Example:
1 x 313,103,105 = 313,103,105
and
-1 x -313,103,105 = 313,103,105
Notice both answers equal 313,103,105
With that explanation out of the way, let's continue. Next, we take the number 313,103,105 and divide it by 2:
313,103,105 ÷ 2 = 156,551,552.5
If the quotient is a whole number, then 2 and 156,551,552.5 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 | 313,103,105 | |
| -1 | -313,103,105 |
Now, we try dividing 313,103,105 by 3:
313,103,105 ÷ 3 = 104,367,701.6667
If the quotient is a whole number, then 3 and 104,367,701.6667 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 | 313,103,105 | |
| -1 | -313,103,105 |
Let's try dividing by 4:
313,103,105 ÷ 4 = 78,275,776.25
If the quotient is a whole number, then 4 and 78,275,776.25 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 | 313,103,105 | |
| -1 | 313,103,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 1,013 | 5,065 | 7,091 | 8,831 | 35,455 | 44,155 | 61,817 | 309,085 | 8,945,803 | 44,729,015 | 62,620,621 | 313,103,105 |
| -1 | -5 | -7 | -35 | -1,013 | -5,065 | -7,091 | -8,831 | -35,455 | -44,155 | -61,817 | -309,085 | -8,945,803 | -44,729,015 | -62,620,621 | -313,103,105 |
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