A:
Positive:
1 x 5122530055 x 10245060111 x 4656845555 x 93136912939 x 1742953169 x 16164514695 x 3485915845 x 32329
Negative:
-1 x -512253005-5 x -102450601-11 x -46568455-55 x -9313691-2939 x -174295-3169 x -161645-14695 x -34859-15845 x -32329
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 512,253,005, 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 | 512,253,005 | |
| -1 | -512,253,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 512,253,005.
Example:
1 x 512,253,005 = 512,253,005
and
-1 x -512,253,005 = 512,253,005
Notice both answers equal 512,253,005
With that explanation out of the way, let's continue. Next, we take the number 512,253,005 and divide it by 2:
512,253,005 ÷ 2 = 256,126,502.5
If the quotient is a whole number, then 2 and 256,126,502.5 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 | 512,253,005 | |
| -1 | -512,253,005 |
Now, we try dividing 512,253,005 by 3:
512,253,005 ÷ 3 = 170,751,001.6667
If the quotient is a whole number, then 3 and 170,751,001.6667 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 | 512,253,005 | |
| -1 | -512,253,005 |
Let's try dividing by 4:
512,253,005 ÷ 4 = 128,063,251.25
If the quotient is a whole number, then 4 and 128,063,251.25 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 | 512,253,005 | |
| -1 | 512,253,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 2,939 | 3,169 | 14,695 | 15,845 | 32,329 | 34,859 | 161,645 | 174,295 | 9,313,691 | 46,568,455 | 102,450,601 | 512,253,005 |
| -1 | -5 | -11 | -55 | -2,939 | -3,169 | -14,695 | -15,845 | -32,329 | -34,859 | -161,645 | -174,295 | -9,313,691 | -46,568,455 | -102,450,601 | -512,253,005 |
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