A:
Positive:
1 x 1200227355 x 240045477 x 1714610529 x 413871535 x 3429221145 x 827743203 x 5912451015 x 118249
Negative:
-1 x -120022735-5 x -24004547-7 x -17146105-29 x -4138715-35 x -3429221-145 x -827743-203 x -591245-1015 x -118249
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 120,022,735, 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 | 120,022,735 | |
| -1 | -120,022,735 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,022,735.
Example:
1 x 120,022,735 = 120,022,735
and
-1 x -120,022,735 = 120,022,735
Notice both answers equal 120,022,735
With that explanation out of the way, let's continue. Next, we take the number 120,022,735 and divide it by 2:
120,022,735 ÷ 2 = 60,011,367.5
If the quotient is a whole number, then 2 and 60,011,367.5 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 | 120,022,735 | |
| -1 | -120,022,735 |
Now, we try dividing 120,022,735 by 3:
120,022,735 ÷ 3 = 40,007,578.3333
If the quotient is a whole number, then 3 and 40,007,578.3333 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 | 120,022,735 | |
| -1 | -120,022,735 |
Let's try dividing by 4:
120,022,735 ÷ 4 = 30,005,683.75
If the quotient is a whole number, then 4 and 30,005,683.75 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 | 120,022,735 | |
| -1 | 120,022,735 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 29 | 35 | 145 | 203 | 1,015 | 118,249 | 591,245 | 827,743 | 3,429,221 | 4,138,715 | 17,146,105 | 24,004,547 | 120,022,735 |
| -1 | -5 | -7 | -29 | -35 | -145 | -203 | -1,015 | -118,249 | -591,245 | -827,743 | -3,429,221 | -4,138,715 | -17,146,105 | -24,004,547 | -120,022,735 |
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