A:
Positive:
1 x 2511255 x 502257 x 3587525 x 1004535 x 717541 x 612549 x 5125125 x 2009175 x 1435205 x 1225245 x 1025287 x 875
Negative:
-1 x -251125-5 x -50225-7 x -35875-25 x -10045-35 x -7175-41 x -6125-49 x -5125-125 x -2009-175 x -1435-205 x -1225-245 x -1025-287 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 251,125, 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 | 251,125 | |
| -1 | -251,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 251,125.
Example:
1 x 251,125 = 251,125
and
-1 x -251,125 = 251,125
Notice both answers equal 251,125
With that explanation out of the way, let's continue. Next, we take the number 251,125 and divide it by 2:
251,125 ÷ 2 = 125,562.5
If the quotient is a whole number, then 2 and 125,562.5 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 | 251,125 | |
| -1 | -251,125 |
Now, we try dividing 251,125 by 3:
251,125 ÷ 3 = 83,708.3333
If the quotient is a whole number, then 3 and 83,708.3333 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 | 251,125 | |
| -1 | -251,125 |
Let's try dividing by 4:
251,125 ÷ 4 = 62,781.25
If the quotient is a whole number, then 4 and 62,781.25 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 | 251,125 | |
| -1 | 251,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 41 | 49 | 125 | 175 | 205 | 245 | 287 | 875 | 1,025 | 1,225 | 1,435 | 2,009 | 5,125 | 6,125 | 7,175 | 10,045 | 35,875 | 50,225 | 251,125 |
| -1 | -5 | -7 | -25 | -35 | -41 | -49 | -125 | -175 | -205 | -245 | -287 | -875 | -1,025 | -1,225 | -1,435 | -2,009 | -5,125 | -6,125 | -7,175 | -10,045 | -35,875 | -50,225 | -251,125 |
Here are some more numbers to try:
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