A:
Positive:
1 x 251026255 x 502052517 x 147662525 x 100410585 x 295325125 x 200821425 x 590652125 x 11813
Negative:
-1 x -25102625-5 x -5020525-17 x -1476625-25 x -1004105-85 x -295325-125 x -200821-425 x -59065-2125 x -11813
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 25,102,625, 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 | 25,102,625 | |
| -1 | -25,102,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,102,625.
Example:
1 x 25,102,625 = 25,102,625
and
-1 x -25,102,625 = 25,102,625
Notice both answers equal 25,102,625
With that explanation out of the way, let's continue. Next, we take the number 25,102,625 and divide it by 2:
25,102,625 ÷ 2 = 12,551,312.5
If the quotient is a whole number, then 2 and 12,551,312.5 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 | 25,102,625 | |
| -1 | -25,102,625 |
Now, we try dividing 25,102,625 by 3:
25,102,625 ÷ 3 = 8,367,541.6667
If the quotient is a whole number, then 3 and 8,367,541.6667 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 | 25,102,625 | |
| -1 | -25,102,625 |
Let's try dividing by 4:
25,102,625 ÷ 4 = 6,275,656.25
If the quotient is a whole number, then 4 and 6,275,656.25 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 | 25,102,625 | |
| -1 | 25,102,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 85 | 125 | 425 | 2,125 | 11,813 | 59,065 | 200,821 | 295,325 | 1,004,105 | 1,476,625 | 5,020,525 | 25,102,625 |
| -1 | -5 | -17 | -25 | -85 | -125 | -425 | -2,125 | -11,813 | -59,065 | -200,821 | -295,325 | -1,004,105 | -1,476,625 | -5,020,525 | -25,102,625 |
Here are some more numbers to try:
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