A:
Positive:
1 x 12220112311 x 11109193131 x 932833137 x 891979619 x 1974171441 x 848031507 x 810896809 x 17947
Negative:
-1 x -122201123-11 x -11109193-131 x -932833-137 x -891979-619 x -197417-1441 x -84803-1507 x -81089-6809 x -17947
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 122,201,123, 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 | 122,201,123 | |
| -1 | -122,201,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 122,201,123.
Example:
1 x 122,201,123 = 122,201,123
and
-1 x -122,201,123 = 122,201,123
Notice both answers equal 122,201,123
With that explanation out of the way, let's continue. Next, we take the number 122,201,123 and divide it by 2:
122,201,123 ÷ 2 = 61,100,561.5
If the quotient is a whole number, then 2 and 61,100,561.5 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 | 122,201,123 | |
| -1 | -122,201,123 |
Now, we try dividing 122,201,123 by 3:
122,201,123 ÷ 3 = 40,733,707.6667
If the quotient is a whole number, then 3 and 40,733,707.6667 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 | 122,201,123 | |
| -1 | -122,201,123 |
Let's try dividing by 4:
122,201,123 ÷ 4 = 30,550,280.75
If the quotient is a whole number, then 4 and 30,550,280.75 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 | 122,201,123 | |
| -1 | 122,201,123 |
If you did it right, you will end up with this table:
| 1 | 11 | 131 | 137 | 619 | 1,441 | 1,507 | 6,809 | 17,947 | 81,089 | 84,803 | 197,417 | 891,979 | 932,833 | 11,109,193 | 122,201,123 |
| -1 | -11 | -131 | -137 | -619 | -1,441 | -1,507 | -6,809 | -17,947 | -81,089 | -84,803 | -197,417 | -891,979 | -932,833 | -11,109,193 | -122,201,123 |
Here are some more numbers to try:
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