A:
Positive:
1 x 1200040317 x 1714343353 x 2264227107 x 1121533371 x 323461749 x 1602193023 x 396975671 x 21161
Negative:
-1 x -120004031-7 x -17143433-53 x -2264227-107 x -1121533-371 x -323461-749 x -160219-3023 x -39697-5671 x -21161
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 120,004,031, 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 | 120,004,031 | |
| -1 | -120,004,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,004,031.
Example:
1 x 120,004,031 = 120,004,031
and
-1 x -120,004,031 = 120,004,031
Notice both answers equal 120,004,031
With that explanation out of the way, let's continue. Next, we take the number 120,004,031 and divide it by 2:
120,004,031 ÷ 2 = 60,002,015.5
If the quotient is a whole number, then 2 and 60,002,015.5 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 | 120,004,031 | |
| -1 | -120,004,031 |
Now, we try dividing 120,004,031 by 3:
120,004,031 ÷ 3 = 40,001,343.6667
If the quotient is a whole number, then 3 and 40,001,343.6667 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 | 120,004,031 | |
| -1 | -120,004,031 |
Let's try dividing by 4:
120,004,031 ÷ 4 = 30,001,007.75
If the quotient is a whole number, then 4 and 30,001,007.75 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 | 120,004,031 | |
| -1 | 120,004,031 |
If you did it right, you will end up with this table:
| 1 | 7 | 53 | 107 | 371 | 749 | 3,023 | 5,671 | 21,161 | 39,697 | 160,219 | 323,461 | 1,121,533 | 2,264,227 | 17,143,433 | 120,004,031 |
| -1 | -7 | -53 | -107 | -371 | -749 | -3,023 | -5,671 | -21,161 | -39,697 | -160,219 | -323,461 | -1,121,533 | -2,264,227 | -17,143,433 | -120,004,031 |
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