A:
Positive:
1 x 5656610055 x 1131322017 x 8080871513 x 4351238535 x 1616174365 x 870247791 x 6216055455 x 1243211
Negative:
-1 x -565661005-5 x -113132201-7 x -80808715-13 x -43512385-35 x -16161743-65 x -8702477-91 x -6216055-455 x -1243211
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 565,661,005, 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 | 565,661,005 | |
| -1 | -565,661,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 565,661,005.
Example:
1 x 565,661,005 = 565,661,005
and
-1 x -565,661,005 = 565,661,005
Notice both answers equal 565,661,005
With that explanation out of the way, let's continue. Next, we take the number 565,661,005 and divide it by 2:
565,661,005 ÷ 2 = 282,830,502.5
If the quotient is a whole number, then 2 and 282,830,502.5 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 | 565,661,005 | |
| -1 | -565,661,005 |
Now, we try dividing 565,661,005 by 3:
565,661,005 ÷ 3 = 188,553,668.3333
If the quotient is a whole number, then 3 and 188,553,668.3333 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 | 565,661,005 | |
| -1 | -565,661,005 |
Let's try dividing by 4:
565,661,005 ÷ 4 = 141,415,251.25
If the quotient is a whole number, then 4 and 141,415,251.25 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 | 565,661,005 | |
| -1 | 565,661,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 35 | 65 | 91 | 455 | 1,243,211 | 6,216,055 | 8,702,477 | 16,161,743 | 43,512,385 | 80,808,715 | 113,132,201 | 565,661,005 |
| -1 | -5 | -7 | -13 | -35 | -65 | -91 | -455 | -1,243,211 | -6,216,055 | -8,702,477 | -16,161,743 | -43,512,385 | -80,808,715 | -113,132,201 | -565,661,005 |
Here are some more numbers to try:
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