A:
Positive:
1 x 4270255 x 8540519 x 2247525 x 1708129 x 1472531 x 1377595 x 4495145 x 2945155 x 2755475 x 899551 x 775589 x 725
Negative:
-1 x -427025-5 x -85405-19 x -22475-25 x -17081-29 x -14725-31 x -13775-95 x -4495-145 x -2945-155 x -2755-475 x -899-551 x -775-589 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 427,025, 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 | 427,025 | |
| -1 | -427,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 427,025.
Example:
1 x 427,025 = 427,025
and
-1 x -427,025 = 427,025
Notice both answers equal 427,025
With that explanation out of the way, let's continue. Next, we take the number 427,025 and divide it by 2:
427,025 ÷ 2 = 213,512.5
If the quotient is a whole number, then 2 and 213,512.5 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 | 427,025 | |
| -1 | -427,025 |
Now, we try dividing 427,025 by 3:
427,025 ÷ 3 = 142,341.6667
If the quotient is a whole number, then 3 and 142,341.6667 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 | 427,025 | |
| -1 | -427,025 |
Let's try dividing by 4:
427,025 ÷ 4 = 106,756.25
If the quotient is a whole number, then 4 and 106,756.25 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 | 427,025 | |
| -1 | 427,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 29 | 31 | 95 | 145 | 155 | 475 | 551 | 589 | 725 | 775 | 899 | 2,755 | 2,945 | 4,495 | 13,775 | 14,725 | 17,081 | 22,475 | 85,405 | 427,025 |
| -1 | -5 | -19 | -25 | -29 | -31 | -95 | -145 | -155 | -475 | -551 | -589 | -725 | -775 | -899 | -2,755 | -2,945 | -4,495 | -13,775 | -14,725 | -17,081 | -22,475 | -85,405 | -427,025 |
Here are some more numbers to try:
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