A:
Positive:
1 x 27156610719 x 1429295331 x 8760197107 x 2538001139 x 1953713589 x 461063961 x 2825872033 x 1335792641 x 1028273317 x 818714309 x 6302314873 x 18259
Negative:
-1 x -271566107-19 x -14292953-31 x -8760197-107 x -2538001-139 x -1953713-589 x -461063-961 x -282587-2033 x -133579-2641 x -102827-3317 x -81871-4309 x -63023-14873 x -18259
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 271,566,107, 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 | 271,566,107 | |
| -1 | -271,566,107 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 271,566,107.
Example:
1 x 271,566,107 = 271,566,107
and
-1 x -271,566,107 = 271,566,107
Notice both answers equal 271,566,107
With that explanation out of the way, let's continue. Next, we take the number 271,566,107 and divide it by 2:
271,566,107 ÷ 2 = 135,783,053.5
If the quotient is a whole number, then 2 and 135,783,053.5 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 | 271,566,107 | |
| -1 | -271,566,107 |
Now, we try dividing 271,566,107 by 3:
271,566,107 ÷ 3 = 90,522,035.6667
If the quotient is a whole number, then 3 and 90,522,035.6667 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 | 271,566,107 | |
| -1 | -271,566,107 |
Let's try dividing by 4:
271,566,107 ÷ 4 = 67,891,526.75
If the quotient is a whole number, then 4 and 67,891,526.75 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 | 271,566,107 | |
| -1 | 271,566,107 |
If you did it right, you will end up with this table:
| 1 | 19 | 31 | 107 | 139 | 589 | 961 | 2,033 | 2,641 | 3,317 | 4,309 | 14,873 | 18,259 | 63,023 | 81,871 | 102,827 | 133,579 | 282,587 | 461,063 | 1,953,713 | 2,538,001 | 8,760,197 | 14,292,953 | 271,566,107 |
| -1 | -19 | -31 | -107 | -139 | -589 | -961 | -2,033 | -2,641 | -3,317 | -4,309 | -14,873 | -18,259 | -63,023 | -81,871 | -102,827 | -133,579 | -282,587 | -461,063 | -1,953,713 | -2,538,001 | -8,760,197 | -14,292,953 | -271,566,107 |
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