A:
Positive:
1 x 5094255 x 1018857 x 7277525 x 2037735 x 1455541 x 1242571 x 7175175 x 2911205 x 2485287 x 1775355 x 1435497 x 1025
Negative:
-1 x -509425-5 x -101885-7 x -72775-25 x -20377-35 x -14555-41 x -12425-71 x -7175-175 x -2911-205 x -2485-287 x -1775-355 x -1435-497 x -1025
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 509,425, 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 | 509,425 | |
| -1 | -509,425 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 509,425.
Example:
1 x 509,425 = 509,425
and
-1 x -509,425 = 509,425
Notice both answers equal 509,425
With that explanation out of the way, let's continue. Next, we take the number 509,425 and divide it by 2:
509,425 ÷ 2 = 254,712.5
If the quotient is a whole number, then 2 and 254,712.5 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 | 509,425 | |
| -1 | -509,425 |
Now, we try dividing 509,425 by 3:
509,425 ÷ 3 = 169,808.3333
If the quotient is a whole number, then 3 and 169,808.3333 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 | 509,425 | |
| -1 | -509,425 |
Let's try dividing by 4:
509,425 ÷ 4 = 127,356.25
If the quotient is a whole number, then 4 and 127,356.25 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 | 509,425 | |
| -1 | 509,425 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 41 | 71 | 175 | 205 | 287 | 355 | 497 | 1,025 | 1,435 | 1,775 | 2,485 | 2,911 | 7,175 | 12,425 | 14,555 | 20,377 | 72,775 | 101,885 | 509,425 |
| -1 | -5 | -7 | -25 | -35 | -41 | -71 | -175 | -205 | -287 | -355 | -497 | -1,025 | -1,435 | -1,775 | -2,485 | -2,911 | -7,175 | -12,425 | -14,555 | -20,377 | -72,775 | -101,885 | -509,425 |
Here are some more numbers to try:
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