A:
Positive:
1 x 316066255 x 632132525 x 1264265125 x 252853149 x 212125745 x 424251697 x 186253725 x 8485
Negative:
-1 x -31606625-5 x -6321325-25 x -1264265-125 x -252853-149 x -212125-745 x -42425-1697 x -18625-3725 x -8485
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 31,606,625, 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 | 31,606,625 | |
| -1 | -31,606,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,606,625.
Example:
1 x 31,606,625 = 31,606,625
and
-1 x -31,606,625 = 31,606,625
Notice both answers equal 31,606,625
With that explanation out of the way, let's continue. Next, we take the number 31,606,625 and divide it by 2:
31,606,625 ÷ 2 = 15,803,312.5
If the quotient is a whole number, then 2 and 15,803,312.5 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 | 31,606,625 | |
| -1 | -31,606,625 |
Now, we try dividing 31,606,625 by 3:
31,606,625 ÷ 3 = 10,535,541.6667
If the quotient is a whole number, then 3 and 10,535,541.6667 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 | 31,606,625 | |
| -1 | -31,606,625 |
Let's try dividing by 4:
31,606,625 ÷ 4 = 7,901,656.25
If the quotient is a whole number, then 4 and 7,901,656.25 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 | 31,606,625 | |
| -1 | 31,606,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 149 | 745 | 1,697 | 3,725 | 8,485 | 18,625 | 42,425 | 212,125 | 252,853 | 1,264,265 | 6,321,325 | 31,606,625 |
| -1 | -5 | -25 | -125 | -149 | -745 | -1,697 | -3,725 | -8,485 | -18,625 | -42,425 | -212,125 | -252,853 | -1,264,265 | -6,321,325 | -31,606,625 |
Here are some more numbers to try:
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