A:
Positive:
1 x 251446255 x 502892511 x 228587525 x 100578555 x 457175125 x 201157275 x 914351375 x 18287
Negative:
-1 x -25144625-5 x -5028925-11 x -2285875-25 x -1005785-55 x -457175-125 x -201157-275 x -91435-1375 x -18287
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 25,144,625, 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 | 25,144,625 | |
| -1 | -25,144,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,144,625.
Example:
1 x 25,144,625 = 25,144,625
and
-1 x -25,144,625 = 25,144,625
Notice both answers equal 25,144,625
With that explanation out of the way, let's continue. Next, we take the number 25,144,625 and divide it by 2:
25,144,625 ÷ 2 = 12,572,312.5
If the quotient is a whole number, then 2 and 12,572,312.5 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 | 25,144,625 | |
| -1 | -25,144,625 |
Now, we try dividing 25,144,625 by 3:
25,144,625 ÷ 3 = 8,381,541.6667
If the quotient is a whole number, then 3 and 8,381,541.6667 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 | 25,144,625 | |
| -1 | -25,144,625 |
Let's try dividing by 4:
25,144,625 ÷ 4 = 6,286,156.25
If the quotient is a whole number, then 4 and 6,286,156.25 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 | 25,144,625 | |
| -1 | 25,144,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 125 | 275 | 1,375 | 18,287 | 91,435 | 201,157 | 457,175 | 1,005,785 | 2,285,875 | 5,028,925 | 25,144,625 |
| -1 | -5 | -11 | -25 | -55 | -125 | -275 | -1,375 | -18,287 | -91,435 | -201,157 | -457,175 | -1,005,785 | -2,285,875 | -5,028,925 | -25,144,625 |
Here are some more numbers to try:
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