A:
Positive:
1 x 257001255 x 514002511 x 233637525 x 102800555 x 467275125 x 205601275 x 934551375 x 18691
Negative:
-1 x -25700125-5 x -5140025-11 x -2336375-25 x -1028005-55 x -467275-125 x -205601-275 x -93455-1375 x -18691
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 25,700,125, 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 | 25,700,125 | |
| -1 | -25,700,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,700,125.
Example:
1 x 25,700,125 = 25,700,125
and
-1 x -25,700,125 = 25,700,125
Notice both answers equal 25,700,125
With that explanation out of the way, let's continue. Next, we take the number 25,700,125 and divide it by 2:
25,700,125 ÷ 2 = 12,850,062.5
If the quotient is a whole number, then 2 and 12,850,062.5 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 | 25,700,125 | |
| -1 | -25,700,125 |
Now, we try dividing 25,700,125 by 3:
25,700,125 ÷ 3 = 8,566,708.3333
If the quotient is a whole number, then 3 and 8,566,708.3333 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 | 25,700,125 | |
| -1 | -25,700,125 |
Let's try dividing by 4:
25,700,125 ÷ 4 = 6,425,031.25
If the quotient is a whole number, then 4 and 6,425,031.25 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 | 25,700,125 | |
| -1 | 25,700,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 125 | 275 | 1,375 | 18,691 | 93,455 | 205,601 | 467,275 | 1,028,005 | 2,336,375 | 5,140,025 | 25,700,125 |
| -1 | -5 | -11 | -25 | -55 | -125 | -275 | -1,375 | -18,691 | -93,455 | -205,601 | -467,275 | -1,028,005 | -2,336,375 | -5,140,025 | -25,700,125 |
Here are some more numbers to try:
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