A:
Positive:
1 x 1732255 x 3464513 x 1332525 x 692941 x 422565 x 2665169 x 1025205 x 845325 x 533
Negative:
-1 x -173225-5 x -34645-13 x -13325-25 x -6929-41 x -4225-65 x -2665-169 x -1025-205 x -845-325 x -533
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 173,225, 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 | 173,225 | |
| -1 | -173,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 173,225.
Example:
1 x 173,225 = 173,225
and
-1 x -173,225 = 173,225
Notice both answers equal 173,225
With that explanation out of the way, let's continue. Next, we take the number 173,225 and divide it by 2:
173,225 ÷ 2 = 86,612.5
If the quotient is a whole number, then 2 and 86,612.5 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 | 173,225 | |
| -1 | -173,225 |
Now, we try dividing 173,225 by 3:
173,225 ÷ 3 = 57,741.6667
If the quotient is a whole number, then 3 and 57,741.6667 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 | 173,225 | |
| -1 | -173,225 |
Let's try dividing by 4:
173,225 ÷ 4 = 43,306.25
If the quotient is a whole number, then 4 and 43,306.25 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 | 173,225 | |
| -1 | 173,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 41 | 65 | 169 | 205 | 325 | 533 | 845 | 1,025 | 2,665 | 4,225 | 6,929 | 13,325 | 34,645 | 173,225 |
| -1 | -5 | -13 | -25 | -41 | -65 | -169 | -205 | -325 | -533 | -845 | -1,025 | -2,665 | -4,225 | -6,929 | -13,325 | -34,645 | -173,225 |
Here are some more numbers to try:
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