A:
Positive:
1 x 6781255 x 1356257 x 9687525 x 2712531 x 2187535 x 19375125 x 5425155 x 4375175 x 3875217 x 3125625 x 1085775 x 875
Negative:
-1 x -678125-5 x -135625-7 x -96875-25 x -27125-31 x -21875-35 x -19375-125 x -5425-155 x -4375-175 x -3875-217 x -3125-625 x -1085-775 x -875
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 678,125, 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 | 678,125 | |
| -1 | -678,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 678,125.
Example:
1 x 678,125 = 678,125
and
-1 x -678,125 = 678,125
Notice both answers equal 678,125
With that explanation out of the way, let's continue. Next, we take the number 678,125 and divide it by 2:
678,125 ÷ 2 = 339,062.5
If the quotient is a whole number, then 2 and 339,062.5 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 | 678,125 | |
| -1 | -678,125 |
Now, we try dividing 678,125 by 3:
678,125 ÷ 3 = 226,041.6667
If the quotient is a whole number, then 3 and 226,041.6667 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 | 678,125 | |
| -1 | -678,125 |
Let's try dividing by 4:
678,125 ÷ 4 = 169,531.25
If the quotient is a whole number, then 4 and 169,531.25 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 | 678,125 | |
| -1 | 678,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 31 | 35 | 125 | 155 | 175 | 217 | 625 | 775 | 875 | 1,085 | 3,125 | 3,875 | 4,375 | 5,425 | 19,375 | 21,875 | 27,125 | 96,875 | 135,625 | 678,125 |
| -1 | -5 | -7 | -25 | -31 | -35 | -125 | -155 | -175 | -217 | -625 | -775 | -875 | -1,085 | -3,125 | -3,875 | -4,375 | -5,425 | -19,375 | -21,875 | -27,125 | -96,875 | -135,625 | -678,125 |
Here are some more numbers to try:
Try the factor calculator