A:
Positive:
1 x 1722355 x 344477 x 2460519 x 906535 x 492137 x 465549 x 351595 x 1813133 x 1295185 x 931245 x 703259 x 665
Negative:
-1 x -172235-5 x -34447-7 x -24605-19 x -9065-35 x -4921-37 x -4655-49 x -3515-95 x -1813-133 x -1295-185 x -931-245 x -703-259 x -665
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 172,235, 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 | 172,235 | |
| -1 | -172,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 172,235.
Example:
1 x 172,235 = 172,235
and
-1 x -172,235 = 172,235
Notice both answers equal 172,235
With that explanation out of the way, let's continue. Next, we take the number 172,235 and divide it by 2:
172,235 ÷ 2 = 86,117.5
If the quotient is a whole number, then 2 and 86,117.5 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 | 172,235 | |
| -1 | -172,235 |
Now, we try dividing 172,235 by 3:
172,235 ÷ 3 = 57,411.6667
If the quotient is a whole number, then 3 and 57,411.6667 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 | 172,235 | |
| -1 | -172,235 |
Let's try dividing by 4:
172,235 ÷ 4 = 43,058.75
If the quotient is a whole number, then 4 and 43,058.75 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 | 172,235 | |
| -1 | 172,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 19 | 35 | 37 | 49 | 95 | 133 | 185 | 245 | 259 | 665 | 703 | 931 | 1,295 | 1,813 | 3,515 | 4,655 | 4,921 | 9,065 | 24,605 | 34,447 | 172,235 |
| -1 | -5 | -7 | -19 | -35 | -37 | -49 | -95 | -133 | -185 | -245 | -259 | -665 | -703 | -931 | -1,295 | -1,813 | -3,515 | -4,655 | -4,921 | -9,065 | -24,605 | -34,447 | -172,235 |
Here are some more numbers to try:
Try the factor calculator