A:
Positive:
1 x 311241255 x 622482525 x 124496541 x 759125125 x 248993205 x 1518251025 x 303655125 x 6073
Negative:
-1 x -31124125-5 x -6224825-25 x -1244965-41 x -759125-125 x -248993-205 x -151825-1025 x -30365-5125 x -6073
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 31,124,125, 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 | 31,124,125 | |
| -1 | -31,124,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,124,125.
Example:
1 x 31,124,125 = 31,124,125
and
-1 x -31,124,125 = 31,124,125
Notice both answers equal 31,124,125
With that explanation out of the way, let's continue. Next, we take the number 31,124,125 and divide it by 2:
31,124,125 ÷ 2 = 15,562,062.5
If the quotient is a whole number, then 2 and 15,562,062.5 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 | 31,124,125 | |
| -1 | -31,124,125 |
Now, we try dividing 31,124,125 by 3:
31,124,125 ÷ 3 = 10,374,708.3333
If the quotient is a whole number, then 3 and 10,374,708.3333 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 | 31,124,125 | |
| -1 | -31,124,125 |
Let's try dividing by 4:
31,124,125 ÷ 4 = 7,781,031.25
If the quotient is a whole number, then 4 and 7,781,031.25 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 | 31,124,125 | |
| -1 | 31,124,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 41 | 125 | 205 | 1,025 | 5,125 | 6,073 | 30,365 | 151,825 | 248,993 | 759,125 | 1,244,965 | 6,224,825 | 31,124,125 |
| -1 | -5 | -25 | -41 | -125 | -205 | -1,025 | -5,125 | -6,073 | -30,365 | -151,825 | -248,993 | -759,125 | -1,244,965 | -6,224,825 | -31,124,125 |
Here are some more numbers to try:
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