A:
Positive:
1 x 1221046197 x 1744351713 x 939266349 x 249193167 x 182245791 x 1341809469 x 260351637 x 191687871 x 1401892861 x 426793283 x 371936097 x 20027
Negative:
-1 x -122104619-7 x -17443517-13 x -9392663-49 x -2491931-67 x -1822457-91 x -1341809-469 x -260351-637 x -191687-871 x -140189-2861 x -42679-3283 x -37193-6097 x -20027
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 122,104,619, 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 | 122,104,619 | |
| -1 | -122,104,619 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 122,104,619.
Example:
1 x 122,104,619 = 122,104,619
and
-1 x -122,104,619 = 122,104,619
Notice both answers equal 122,104,619
With that explanation out of the way, let's continue. Next, we take the number 122,104,619 and divide it by 2:
122,104,619 ÷ 2 = 61,052,309.5
If the quotient is a whole number, then 2 and 61,052,309.5 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 | 122,104,619 | |
| -1 | -122,104,619 |
Now, we try dividing 122,104,619 by 3:
122,104,619 ÷ 3 = 40,701,539.6667
If the quotient is a whole number, then 3 and 40,701,539.6667 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 | 122,104,619 | |
| -1 | -122,104,619 |
Let's try dividing by 4:
122,104,619 ÷ 4 = 30,526,154.75
If the quotient is a whole number, then 4 and 30,526,154.75 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 | 122,104,619 | |
| -1 | 122,104,619 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 49 | 67 | 91 | 469 | 637 | 871 | 2,861 | 3,283 | 6,097 | 20,027 | 37,193 | 42,679 | 140,189 | 191,687 | 260,351 | 1,341,809 | 1,822,457 | 2,491,931 | 9,392,663 | 17,443,517 | 122,104,619 |
| -1 | -7 | -13 | -49 | -67 | -91 | -469 | -637 | -871 | -2,861 | -3,283 | -6,097 | -20,027 | -37,193 | -42,679 | -140,189 | -191,687 | -260,351 | -1,341,809 | -1,822,457 | -2,491,931 | -9,392,663 | -17,443,517 | -122,104,619 |
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