A:
Positive:
1 x 1031310355 x 206262077 x 1473300535 x 294660149 x 2104715245 x 420943509 x 202615827 x 1247052545 x 405233563 x 289454135 x 249415789 x 17815
Negative:
-1 x -103131035-5 x -20626207-7 x -14733005-35 x -2946601-49 x -2104715-245 x -420943-509 x -202615-827 x -124705-2545 x -40523-3563 x -28945-4135 x -24941-5789 x -17815
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 103,131,035, 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 | 103,131,035 | |
| -1 | -103,131,035 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 103,131,035.
Example:
1 x 103,131,035 = 103,131,035
and
-1 x -103,131,035 = 103,131,035
Notice both answers equal 103,131,035
With that explanation out of the way, let's continue. Next, we take the number 103,131,035 and divide it by 2:
103,131,035 ÷ 2 = 51,565,517.5
If the quotient is a whole number, then 2 and 51,565,517.5 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 | 103,131,035 | |
| -1 | -103,131,035 |
Now, we try dividing 103,131,035 by 3:
103,131,035 ÷ 3 = 34,377,011.6667
If the quotient is a whole number, then 3 and 34,377,011.6667 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 | 103,131,035 | |
| -1 | -103,131,035 |
Let's try dividing by 4:
103,131,035 ÷ 4 = 25,782,758.75
If the quotient is a whole number, then 4 and 25,782,758.75 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 | 103,131,035 | |
| -1 | 103,131,035 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 49 | 245 | 509 | 827 | 2,545 | 3,563 | 4,135 | 5,789 | 17,815 | 24,941 | 28,945 | 40,523 | 124,705 | 202,615 | 420,943 | 2,104,715 | 2,946,601 | 14,733,005 | 20,626,207 | 103,131,035 |
| -1 | -5 | -7 | -35 | -49 | -245 | -509 | -827 | -2,545 | -3,563 | -4,135 | -5,789 | -17,815 | -24,941 | -28,945 | -40,523 | -124,705 | -202,615 | -420,943 | -2,104,715 | -2,946,601 | -14,733,005 | -20,626,207 | -103,131,035 |
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