A:
Positive:
1 x 4137255 x 8274513 x 3182519 x 2177525 x 1654965 x 636567 x 617595 x 4355247 x 1675325 x 1273335 x 1235475 x 871
Negative:
-1 x -413725-5 x -82745-13 x -31825-19 x -21775-25 x -16549-65 x -6365-67 x -6175-95 x -4355-247 x -1675-325 x -1273-335 x -1235-475 x -871
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 413,725, 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 | 413,725 | |
| -1 | -413,725 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 413,725.
Example:
1 x 413,725 = 413,725
and
-1 x -413,725 = 413,725
Notice both answers equal 413,725
With that explanation out of the way, let's continue. Next, we take the number 413,725 and divide it by 2:
413,725 ÷ 2 = 206,862.5
If the quotient is a whole number, then 2 and 206,862.5 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 | 413,725 | |
| -1 | -413,725 |
Now, we try dividing 413,725 by 3:
413,725 ÷ 3 = 137,908.3333
If the quotient is a whole number, then 3 and 137,908.3333 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 | 413,725 | |
| -1 | -413,725 |
Let's try dividing by 4:
413,725 ÷ 4 = 103,431.25
If the quotient is a whole number, then 4 and 103,431.25 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 | 413,725 | |
| -1 | 413,725 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 19 | 25 | 65 | 67 | 95 | 247 | 325 | 335 | 475 | 871 | 1,235 | 1,273 | 1,675 | 4,355 | 6,175 | 6,365 | 16,549 | 21,775 | 31,825 | 82,745 | 413,725 |
| -1 | -5 | -13 | -19 | -25 | -65 | -67 | -95 | -247 | -325 | -335 | -475 | -871 | -1,235 | -1,273 | -1,675 | -4,355 | -6,175 | -6,365 | -16,549 | -21,775 | -31,825 | -82,745 | -413,725 |
Here are some more numbers to try:
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