A:
Positive:
1 x 315051255 x 630102525 x 1260205103 x 305875125 x 252041515 x 611752447 x 128752575 x 12235
Negative:
-1 x -31505125-5 x -6301025-25 x -1260205-103 x -305875-125 x -252041-515 x -61175-2447 x -12875-2575 x -12235
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 31,505,125, 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 | 31,505,125 | |
| -1 | -31,505,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,505,125.
Example:
1 x 31,505,125 = 31,505,125
and
-1 x -31,505,125 = 31,505,125
Notice both answers equal 31,505,125
With that explanation out of the way, let's continue. Next, we take the number 31,505,125 and divide it by 2:
31,505,125 ÷ 2 = 15,752,562.5
If the quotient is a whole number, then 2 and 15,752,562.5 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 | 31,505,125 | |
| -1 | -31,505,125 |
Now, we try dividing 31,505,125 by 3:
31,505,125 ÷ 3 = 10,501,708.3333
If the quotient is a whole number, then 3 and 10,501,708.3333 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 | 31,505,125 | |
| -1 | -31,505,125 |
Let's try dividing by 4:
31,505,125 ÷ 4 = 7,876,281.25
If the quotient is a whole number, then 4 and 7,876,281.25 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 | 31,505,125 | |
| -1 | 31,505,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 103 | 125 | 515 | 2,447 | 2,575 | 12,235 | 12,875 | 61,175 | 252,041 | 305,875 | 1,260,205 | 6,301,025 | 31,505,125 |
| -1 | -5 | -25 | -103 | -125 | -515 | -2,447 | -2,575 | -12,235 | -12,875 | -61,175 | -252,041 | -305,875 | -1,260,205 | -6,301,025 | -31,505,125 |
Here are some more numbers to try:
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