A:
Positive:
1 x 8128255 x 16256513 x 6252525 x 3251341 x 1982561 x 1332565 x 12505205 x 3965305 x 2665325 x 2501533 x 1525793 x 1025
Negative:
-1 x -812825-5 x -162565-13 x -62525-25 x -32513-41 x -19825-61 x -13325-65 x -12505-205 x -3965-305 x -2665-325 x -2501-533 x -1525-793 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 812,825, 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 | 812,825 | |
| -1 | -812,825 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 812,825.
Example:
1 x 812,825 = 812,825
and
-1 x -812,825 = 812,825
Notice both answers equal 812,825
With that explanation out of the way, let's continue. Next, we take the number 812,825 and divide it by 2:
812,825 ÷ 2 = 406,412.5
If the quotient is a whole number, then 2 and 406,412.5 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 | 812,825 | |
| -1 | -812,825 |
Now, we try dividing 812,825 by 3:
812,825 ÷ 3 = 270,941.6667
If the quotient is a whole number, then 3 and 270,941.6667 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 | 812,825 | |
| -1 | -812,825 |
Let's try dividing by 4:
812,825 ÷ 4 = 203,206.25
If the quotient is a whole number, then 4 and 203,206.25 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 | 812,825 | |
| -1 | 812,825 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 41 | 61 | 65 | 205 | 305 | 325 | 533 | 793 | 1,025 | 1,525 | 2,501 | 2,665 | 3,965 | 12,505 | 13,325 | 19,825 | 32,513 | 62,525 | 162,565 | 812,825 |
| -1 | -5 | -13 | -25 | -41 | -61 | -65 | -205 | -305 | -325 | -533 | -793 | -1,025 | -1,525 | -2,501 | -2,665 | -3,965 | -12,505 | -13,325 | -19,825 | -32,513 | -62,525 | -162,565 | -812,825 |
Here are some more numbers to try:
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