A:
Positive:
1 x 2571255 x 5142511 x 2337517 x 1512525 x 1028555 x 467585 x 3025121 x 2125125 x 2057187 x 1375275 x 935425 x 605
Negative:
-1 x -257125-5 x -51425-11 x -23375-17 x -15125-25 x -10285-55 x -4675-85 x -3025-121 x -2125-125 x -2057-187 x -1375-275 x -935-425 x -605
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 257,125, 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 | 257,125 | |
| -1 | -257,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 257,125.
Example:
1 x 257,125 = 257,125
and
-1 x -257,125 = 257,125
Notice both answers equal 257,125
With that explanation out of the way, let's continue. Next, we take the number 257,125 and divide it by 2:
257,125 ÷ 2 = 128,562.5
If the quotient is a whole number, then 2 and 128,562.5 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 | 257,125 | |
| -1 | -257,125 |
Now, we try dividing 257,125 by 3:
257,125 ÷ 3 = 85,708.3333
If the quotient is a whole number, then 3 and 85,708.3333 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 | 257,125 | |
| -1 | -257,125 |
Let's try dividing by 4:
257,125 ÷ 4 = 64,281.25
If the quotient is a whole number, then 4 and 64,281.25 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 | 257,125 | |
| -1 | 257,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 17 | 25 | 55 | 85 | 121 | 125 | 187 | 275 | 425 | 605 | 935 | 1,375 | 2,057 | 2,125 | 3,025 | 4,675 | 10,285 | 15,125 | 23,375 | 51,425 | 257,125 |
| -1 | -5 | -11 | -17 | -25 | -55 | -85 | -121 | -125 | -187 | -275 | -425 | -605 | -935 | -1,375 | -2,057 | -2,125 | -3,025 | -4,675 | -10,285 | -15,125 | -23,375 | -51,425 | -257,125 |
Here are some more numbers to try:
Try the factor calculator