A:
Positive:
1 x 27100585717 x 1594152173 x 3712409131 x 20687471241 x 2183771667 x 1625712227 x 1216919563 x 28339
Negative:
-1 x -271005857-17 x -15941521-73 x -3712409-131 x -2068747-1241 x -218377-1667 x -162571-2227 x -121691-9563 x -28339
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 271,005,857, 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 | 271,005,857 | |
| -1 | -271,005,857 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 271,005,857.
Example:
1 x 271,005,857 = 271,005,857
and
-1 x -271,005,857 = 271,005,857
Notice both answers equal 271,005,857
With that explanation out of the way, let's continue. Next, we take the number 271,005,857 and divide it by 2:
271,005,857 ÷ 2 = 135,502,928.5
If the quotient is a whole number, then 2 and 135,502,928.5 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 | 271,005,857 | |
| -1 | -271,005,857 |
Now, we try dividing 271,005,857 by 3:
271,005,857 ÷ 3 = 90,335,285.6667
If the quotient is a whole number, then 3 and 90,335,285.6667 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 | 271,005,857 | |
| -1 | -271,005,857 |
Let's try dividing by 4:
271,005,857 ÷ 4 = 67,751,464.25
If the quotient is a whole number, then 4 and 67,751,464.25 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 | 271,005,857 | |
| -1 | 271,005,857 |
If you did it right, you will end up with this table:
| 1 | 17 | 73 | 131 | 1,241 | 1,667 | 2,227 | 9,563 | 28,339 | 121,691 | 162,571 | 218,377 | 2,068,747 | 3,712,409 | 15,941,521 | 271,005,857 |
| -1 | -17 | -73 | -131 | -1,241 | -1,667 | -2,227 | -9,563 | -28,339 | -121,691 | -162,571 | -218,377 | -2,068,747 | -3,712,409 | -15,941,521 | -271,005,857 |
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