A:
Positive:
1 x 2717021055 x 5434042123 x 11813135115 x 2362627269 x 10100451345 x 2020096187 x 439158783 x 30935
Negative:
-1 x -271702105-5 x -54340421-23 x -11813135-115 x -2362627-269 x -1010045-1345 x -202009-6187 x -43915-8783 x -30935
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 271,702,105, 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 | 271,702,105 | |
| -1 | -271,702,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 271,702,105.
Example:
1 x 271,702,105 = 271,702,105
and
-1 x -271,702,105 = 271,702,105
Notice both answers equal 271,702,105
With that explanation out of the way, let's continue. Next, we take the number 271,702,105 and divide it by 2:
271,702,105 ÷ 2 = 135,851,052.5
If the quotient is a whole number, then 2 and 135,851,052.5 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 | 271,702,105 | |
| -1 | -271,702,105 |
Now, we try dividing 271,702,105 by 3:
271,702,105 ÷ 3 = 90,567,368.3333
If the quotient is a whole number, then 3 and 90,567,368.3333 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 | 271,702,105 | |
| -1 | -271,702,105 |
Let's try dividing by 4:
271,702,105 ÷ 4 = 67,925,526.25
If the quotient is a whole number, then 4 and 67,925,526.25 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 | 271,702,105 | |
| -1 | 271,702,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 115 | 269 | 1,345 | 6,187 | 8,783 | 30,935 | 43,915 | 202,009 | 1,010,045 | 2,362,627 | 11,813,135 | 54,340,421 | 271,702,105 |
| -1 | -5 | -23 | -115 | -269 | -1,345 | -6,187 | -8,783 | -30,935 | -43,915 | -202,009 | -1,010,045 | -2,362,627 | -11,813,135 | -54,340,421 | -271,702,105 |
Here are some more numbers to try:
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