A:
Positive:
1 x 1201340217 x 1716200331 x 387529147 x 2556043217 x 553613329 x 3651491457 x 8245310199 x 11779
Negative:
-1 x -120134021-7 x -17162003-31 x -3875291-47 x -2556043-217 x -553613-329 x -365149-1457 x -82453-10199 x -11779
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 120,134,021, 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 | 120,134,021 | |
| -1 | -120,134,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,134,021.
Example:
1 x 120,134,021 = 120,134,021
and
-1 x -120,134,021 = 120,134,021
Notice both answers equal 120,134,021
With that explanation out of the way, let's continue. Next, we take the number 120,134,021 and divide it by 2:
120,134,021 ÷ 2 = 60,067,010.5
If the quotient is a whole number, then 2 and 60,067,010.5 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 | 120,134,021 | |
| -1 | -120,134,021 |
Now, we try dividing 120,134,021 by 3:
120,134,021 ÷ 3 = 40,044,673.6667
If the quotient is a whole number, then 3 and 40,044,673.6667 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 | 120,134,021 | |
| -1 | -120,134,021 |
Let's try dividing by 4:
120,134,021 ÷ 4 = 30,033,505.25
If the quotient is a whole number, then 4 and 30,033,505.25 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 | 120,134,021 | |
| -1 | 120,134,021 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 47 | 217 | 329 | 1,457 | 10,199 | 11,779 | 82,453 | 365,149 | 553,613 | 2,556,043 | 3,875,291 | 17,162,003 | 120,134,021 |
| -1 | -7 | -31 | -47 | -217 | -329 | -1,457 | -10,199 | -11,779 | -82,453 | -365,149 | -553,613 | -2,556,043 | -3,875,291 | -17,162,003 | -120,134,021 |
Here are some more numbers to try:
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