A:
Positive:
1 x 311808255 x 623616513 x 239852525 x 124723337 x 84272565 x 479705185 x 168545325 x 95941481 x 64825925 x 337092405 x 129652593 x 12025
Negative:
-1 x -31180825-5 x -6236165-13 x -2398525-25 x -1247233-37 x -842725-65 x -479705-185 x -168545-325 x -95941-481 x -64825-925 x -33709-2405 x -12965-2593 x -12025
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 31,180,825, 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 | 31,180,825 | |
| -1 | -31,180,825 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,180,825.
Example:
1 x 31,180,825 = 31,180,825
and
-1 x -31,180,825 = 31,180,825
Notice both answers equal 31,180,825
With that explanation out of the way, let's continue. Next, we take the number 31,180,825 and divide it by 2:
31,180,825 ÷ 2 = 15,590,412.5
If the quotient is a whole number, then 2 and 15,590,412.5 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 | 31,180,825 | |
| -1 | -31,180,825 |
Now, we try dividing 31,180,825 by 3:
31,180,825 ÷ 3 = 10,393,608.3333
If the quotient is a whole number, then 3 and 10,393,608.3333 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 | 31,180,825 | |
| -1 | -31,180,825 |
Let's try dividing by 4:
31,180,825 ÷ 4 = 7,795,206.25
If the quotient is a whole number, then 4 and 7,795,206.25 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 | 31,180,825 | |
| -1 | 31,180,825 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 37 | 65 | 185 | 325 | 481 | 925 | 2,405 | 2,593 | 12,025 | 12,965 | 33,709 | 64,825 | 95,941 | 168,545 | 479,705 | 842,725 | 1,247,233 | 2,398,525 | 6,236,165 | 31,180,825 |
| -1 | -5 | -13 | -25 | -37 | -65 | -185 | -325 | -481 | -925 | -2,405 | -2,593 | -12,025 | -12,965 | -33,709 | -64,825 | -95,941 | -168,545 | -479,705 | -842,725 | -1,247,233 | -2,398,525 | -6,236,165 | -31,180,825 |
Here are some more numbers to try:
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