A:
Positive:
1 x 5650051255 x 11300102525 x 22600205125 x 4520041137 x 4124125685 x 8248253425 x 16496517125 x 32993
Negative:
-1 x -565005125-5 x -113001025-25 x -22600205-125 x -4520041-137 x -4124125-685 x -824825-3425 x -164965-17125 x -32993
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 565,005,125, 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 | 565,005,125 | |
| -1 | -565,005,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 565,005,125.
Example:
1 x 565,005,125 = 565,005,125
and
-1 x -565,005,125 = 565,005,125
Notice both answers equal 565,005,125
With that explanation out of the way, let's continue. Next, we take the number 565,005,125 and divide it by 2:
565,005,125 ÷ 2 = 282,502,562.5
If the quotient is a whole number, then 2 and 282,502,562.5 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 | 565,005,125 | |
| -1 | -565,005,125 |
Now, we try dividing 565,005,125 by 3:
565,005,125 ÷ 3 = 188,335,041.6667
If the quotient is a whole number, then 3 and 188,335,041.6667 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 | 565,005,125 | |
| -1 | -565,005,125 |
Let's try dividing by 4:
565,005,125 ÷ 4 = 141,251,281.25
If the quotient is a whole number, then 4 and 141,251,281.25 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 | 565,005,125 | |
| -1 | 565,005,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 137 | 685 | 3,425 | 17,125 | 32,993 | 164,965 | 824,825 | 4,124,125 | 4,520,041 | 22,600,205 | 113,001,025 | 565,005,125 |
| -1 | -5 | -25 | -125 | -137 | -685 | -3,425 | -17,125 | -32,993 | -164,965 | -824,825 | -4,124,125 | -4,520,041 | -22,600,205 | -113,001,025 | -565,005,125 |
Here are some more numbers to try:
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