A:
Positive:
1 x 5053255 x 10106517 x 2972525 x 2021329 x 1742541 x 1232585 x 5945145 x 3485205 x 2465425 x 1189493 x 1025697 x 725
Negative:
-1 x -505325-5 x -101065-17 x -29725-25 x -20213-29 x -17425-41 x -12325-85 x -5945-145 x -3485-205 x -2465-425 x -1189-493 x -1025-697 x -725
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 505,325, 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 | 505,325 | |
| -1 | -505,325 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 505,325.
Example:
1 x 505,325 = 505,325
and
-1 x -505,325 = 505,325
Notice both answers equal 505,325
With that explanation out of the way, let's continue. Next, we take the number 505,325 and divide it by 2:
505,325 ÷ 2 = 252,662.5
If the quotient is a whole number, then 2 and 252,662.5 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 | 505,325 | |
| -1 | -505,325 |
Now, we try dividing 505,325 by 3:
505,325 ÷ 3 = 168,441.6667
If the quotient is a whole number, then 3 and 168,441.6667 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 | 505,325 | |
| -1 | -505,325 |
Let's try dividing by 4:
505,325 ÷ 4 = 126,331.25
If the quotient is a whole number, then 4 and 126,331.25 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 | 505,325 | |
| -1 | 505,325 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 29 | 41 | 85 | 145 | 205 | 425 | 493 | 697 | 725 | 1,025 | 1,189 | 2,465 | 3,485 | 5,945 | 12,325 | 17,425 | 20,213 | 29,725 | 101,065 | 505,325 |
| -1 | -5 | -17 | -25 | -29 | -41 | -85 | -145 | -205 | -425 | -493 | -697 | -725 | -1,025 | -1,189 | -2,465 | -3,485 | -5,945 | -12,325 | -17,425 | -20,213 | -29,725 | -101,065 | -505,325 |
Here are some more numbers to try:
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