A:
Positive:
1 x 1712755 x 3425513 x 1317517 x 1007525 x 685131 x 552565 x 263585 x 2015155 x 1105221 x 775325 x 527403 x 425
Negative:
-1 x -171275-5 x -34255-13 x -13175-17 x -10075-25 x -6851-31 x -5525-65 x -2635-85 x -2015-155 x -1105-221 x -775-325 x -527-403 x -425
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 171,275, 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 | 171,275 | |
| -1 | -171,275 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 171,275.
Example:
1 x 171,275 = 171,275
and
-1 x -171,275 = 171,275
Notice both answers equal 171,275
With that explanation out of the way, let's continue. Next, we take the number 171,275 and divide it by 2:
171,275 ÷ 2 = 85,637.5
If the quotient is a whole number, then 2 and 85,637.5 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 | 171,275 | |
| -1 | -171,275 |
Now, we try dividing 171,275 by 3:
171,275 ÷ 3 = 57,091.6667
If the quotient is a whole number, then 3 and 57,091.6667 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 | 171,275 | |
| -1 | -171,275 |
Let's try dividing by 4:
171,275 ÷ 4 = 42,818.75
If the quotient is a whole number, then 4 and 42,818.75 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 | 171,275 | |
| -1 | 171,275 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 17 | 25 | 31 | 65 | 85 | 155 | 221 | 325 | 403 | 425 | 527 | 775 | 1,105 | 2,015 | 2,635 | 5,525 | 6,851 | 10,075 | 13,175 | 34,255 | 171,275 |
| -1 | -5 | -13 | -17 | -25 | -31 | -65 | -85 | -155 | -221 | -325 | -403 | -425 | -527 | -775 | -1,105 | -2,015 | -2,635 | -5,525 | -6,851 | -10,075 | -13,175 | -34,255 | -171,275 |
Here are some more numbers to try:
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