A:
Positive:
1 x 1207651255 x 2415302513 x 928962525 x 483060565 x 1857925125 x 966121325 x 3715851625 x 74317
Negative:
-1 x -120765125-5 x -24153025-13 x -9289625-25 x -4830605-65 x -1857925-125 x -966121-325 x -371585-1625 x -74317
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 120,765,125, 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 | 120,765,125 | |
| -1 | -120,765,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,765,125.
Example:
1 x 120,765,125 = 120,765,125
and
-1 x -120,765,125 = 120,765,125
Notice both answers equal 120,765,125
With that explanation out of the way, let's continue. Next, we take the number 120,765,125 and divide it by 2:
120,765,125 ÷ 2 = 60,382,562.5
If the quotient is a whole number, then 2 and 60,382,562.5 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 | 120,765,125 | |
| -1 | -120,765,125 |
Now, we try dividing 120,765,125 by 3:
120,765,125 ÷ 3 = 40,255,041.6667
If the quotient is a whole number, then 3 and 40,255,041.6667 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 | 120,765,125 | |
| -1 | -120,765,125 |
Let's try dividing by 4:
120,765,125 ÷ 4 = 30,191,281.25
If the quotient is a whole number, then 4 and 30,191,281.25 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 | 120,765,125 | |
| -1 | 120,765,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 125 | 325 | 1,625 | 74,317 | 371,585 | 966,121 | 1,857,925 | 4,830,605 | 9,289,625 | 24,153,025 | 120,765,125 |
| -1 | -5 | -13 | -25 | -65 | -125 | -325 | -1,625 | -74,317 | -371,585 | -966,121 | -1,857,925 | -4,830,605 | -9,289,625 | -24,153,025 | -120,765,125 |
Here are some more numbers to try:
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