A:
Positive:
1 x 1220330097 x 1743328723 x 530578347 x 2596447161 x 757969329 x 3709211081 x 1128897567 x 16127
Negative:
-1 x -122033009-7 x -17433287-23 x -5305783-47 x -2596447-161 x -757969-329 x -370921-1081 x -112889-7567 x -16127
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 122,033,009, 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 | 122,033,009 | |
| -1 | -122,033,009 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 122,033,009.
Example:
1 x 122,033,009 = 122,033,009
and
-1 x -122,033,009 = 122,033,009
Notice both answers equal 122,033,009
With that explanation out of the way, let's continue. Next, we take the number 122,033,009 and divide it by 2:
122,033,009 ÷ 2 = 61,016,504.5
If the quotient is a whole number, then 2 and 61,016,504.5 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 | 122,033,009 | |
| -1 | -122,033,009 |
Now, we try dividing 122,033,009 by 3:
122,033,009 ÷ 3 = 40,677,669.6667
If the quotient is a whole number, then 3 and 40,677,669.6667 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 | 122,033,009 | |
| -1 | -122,033,009 |
Let's try dividing by 4:
122,033,009 ÷ 4 = 30,508,252.25
If the quotient is a whole number, then 4 and 30,508,252.25 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 | 122,033,009 | |
| -1 | 122,033,009 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 47 | 161 | 329 | 1,081 | 7,567 | 16,127 | 112,889 | 370,921 | 757,969 | 2,596,447 | 5,305,783 | 17,433,287 | 122,033,009 |
| -1 | -7 | -23 | -47 | -161 | -329 | -1,081 | -7,567 | -16,127 | -112,889 | -370,921 | -757,969 | -2,596,447 | -5,305,783 | -17,433,287 | -122,033,009 |
Here are some more numbers to try:
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