A:
Positive:
1 x 311001255 x 62200257 x 444287525 x 124400535 x 888575125 x 248801175 x 177715875 x 35543
Negative:
-1 x -31100125-5 x -6220025-7 x -4442875-25 x -1244005-35 x -888575-125 x -248801-175 x -177715-875 x -35543
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 31,100,125, 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 | 31,100,125 | |
| -1 | -31,100,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,100,125.
Example:
1 x 31,100,125 = 31,100,125
and
-1 x -31,100,125 = 31,100,125
Notice both answers equal 31,100,125
With that explanation out of the way, let's continue. Next, we take the number 31,100,125 and divide it by 2:
31,100,125 ÷ 2 = 15,550,062.5
If the quotient is a whole number, then 2 and 15,550,062.5 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 | 31,100,125 | |
| -1 | -31,100,125 |
Now, we try dividing 31,100,125 by 3:
31,100,125 ÷ 3 = 10,366,708.3333
If the quotient is a whole number, then 3 and 10,366,708.3333 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 | 31,100,125 | |
| -1 | -31,100,125 |
Let's try dividing by 4:
31,100,125 ÷ 4 = 7,775,031.25
If the quotient is a whole number, then 4 and 7,775,031.25 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 | 31,100,125 | |
| -1 | 31,100,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 125 | 175 | 875 | 35,543 | 177,715 | 248,801 | 888,575 | 1,244,005 | 4,442,875 | 6,220,025 | 31,100,125 |
| -1 | -5 | -7 | -25 | -35 | -125 | -175 | -875 | -35,543 | -177,715 | -248,801 | -888,575 | -1,244,005 | -4,442,875 | -6,220,025 | -31,100,125 |
Here are some more numbers to try:
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