A:
Positive:
1 x 1041021177 x 1487173123 x 452617949 x 212453371 x 1466227161 x 646597497 x 2094611127 x 923711301 x 800171633 x 637493479 x 299239107 x 11431
Negative:
-1 x -104102117-7 x -14871731-23 x -4526179-49 x -2124533-71 x -1466227-161 x -646597-497 x -209461-1127 x -92371-1301 x -80017-1633 x -63749-3479 x -29923-9107 x -11431
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 104,102,117, 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 | 104,102,117 | |
| -1 | -104,102,117 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 104,102,117.
Example:
1 x 104,102,117 = 104,102,117
and
-1 x -104,102,117 = 104,102,117
Notice both answers equal 104,102,117
With that explanation out of the way, let's continue. Next, we take the number 104,102,117 and divide it by 2:
104,102,117 ÷ 2 = 52,051,058.5
If the quotient is a whole number, then 2 and 52,051,058.5 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 | 104,102,117 | |
| -1 | -104,102,117 |
Now, we try dividing 104,102,117 by 3:
104,102,117 ÷ 3 = 34,700,705.6667
If the quotient is a whole number, then 3 and 34,700,705.6667 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 | 104,102,117 | |
| -1 | -104,102,117 |
Let's try dividing by 4:
104,102,117 ÷ 4 = 26,025,529.25
If the quotient is a whole number, then 4 and 26,025,529.25 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 | 104,102,117 | |
| -1 | 104,102,117 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 49 | 71 | 161 | 497 | 1,127 | 1,301 | 1,633 | 3,479 | 9,107 | 11,431 | 29,923 | 63,749 | 80,017 | 92,371 | 209,461 | 646,597 | 1,466,227 | 2,124,533 | 4,526,179 | 14,871,731 | 104,102,117 |
| -1 | -7 | -23 | -49 | -71 | -161 | -497 | -1,127 | -1,301 | -1,633 | -3,479 | -9,107 | -11,431 | -29,923 | -63,749 | -80,017 | -92,371 | -209,461 | -646,597 | -1,466,227 | -2,124,533 | -4,526,179 | -14,871,731 | -104,102,117 |
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