A:
Positive:
1 x 6012451255 x 12024902513 x 4624962525 x 2404980565 x 9249925125 x 4809961325 x 18499851625 x 369997
Negative:
-1 x -601245125-5 x -120249025-13 x -46249625-25 x -24049805-65 x -9249925-125 x -4809961-325 x -1849985-1625 x -369997
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 601,245,125, 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 | 601,245,125 | |
| -1 | -601,245,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 601,245,125.
Example:
1 x 601,245,125 = 601,245,125
and
-1 x -601,245,125 = 601,245,125
Notice both answers equal 601,245,125
With that explanation out of the way, let's continue. Next, we take the number 601,245,125 and divide it by 2:
601,245,125 ÷ 2 = 300,622,562.5
If the quotient is a whole number, then 2 and 300,622,562.5 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 | 601,245,125 | |
| -1 | -601,245,125 |
Now, we try dividing 601,245,125 by 3:
601,245,125 ÷ 3 = 200,415,041.6667
If the quotient is a whole number, then 3 and 200,415,041.6667 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 | 601,245,125 | |
| -1 | -601,245,125 |
Let's try dividing by 4:
601,245,125 ÷ 4 = 150,311,281.25
If the quotient is a whole number, then 4 and 150,311,281.25 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 | 601,245,125 | |
| -1 | 601,245,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 125 | 325 | 1,625 | 369,997 | 1,849,985 | 4,809,961 | 9,249,925 | 24,049,805 | 46,249,625 | 120,249,025 | 601,245,125 |
| -1 | -5 | -13 | -25 | -65 | -125 | -325 | -1,625 | -369,997 | -1,849,985 | -4,809,961 | -9,249,925 | -24,049,805 | -46,249,625 | -120,249,025 | -601,245,125 |
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