A:
Positive:
1 x 3013101255 x 6026202517 x 1772412525 x 1205240585 x 3544825125 x 2410481425 x 7089652125 x 141793
Negative:
-1 x -301310125-5 x -60262025-17 x -17724125-25 x -12052405-85 x -3544825-125 x -2410481-425 x -708965-2125 x -141793
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 301,310,125, 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 | 301,310,125 | |
| -1 | -301,310,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,310,125.
Example:
1 x 301,310,125 = 301,310,125
and
-1 x -301,310,125 = 301,310,125
Notice both answers equal 301,310,125
With that explanation out of the way, let's continue. Next, we take the number 301,310,125 and divide it by 2:
301,310,125 ÷ 2 = 150,655,062.5
If the quotient is a whole number, then 2 and 150,655,062.5 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 | 301,310,125 | |
| -1 | -301,310,125 |
Now, we try dividing 301,310,125 by 3:
301,310,125 ÷ 3 = 100,436,708.3333
If the quotient is a whole number, then 3 and 100,436,708.3333 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 | 301,310,125 | |
| -1 | -301,310,125 |
Let's try dividing by 4:
301,310,125 ÷ 4 = 75,327,531.25
If the quotient is a whole number, then 4 and 75,327,531.25 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 | 301,310,125 | |
| -1 | 301,310,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 85 | 125 | 425 | 2,125 | 141,793 | 708,965 | 2,410,481 | 3,544,825 | 12,052,405 | 17,724,125 | 60,262,025 | 301,310,125 |
| -1 | -5 | -17 | -25 | -85 | -125 | -425 | -2,125 | -141,793 | -708,965 | -2,410,481 | -3,544,825 | -12,052,405 | -17,724,125 | -60,262,025 | -301,310,125 |
Here are some more numbers to try:
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