A:
Positive:
1 x 2710401255 x 5420802525 x 1084160567 x 4045375125 x 2168321335 x 8090751675 x 1618158375 x 32363
Negative:
-1 x -271040125-5 x -54208025-25 x -10841605-67 x -4045375-125 x -2168321-335 x -809075-1675 x -161815-8375 x -32363
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 271,040,125, 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 | 271,040,125 | |
| -1 | -271,040,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 271,040,125.
Example:
1 x 271,040,125 = 271,040,125
and
-1 x -271,040,125 = 271,040,125
Notice both answers equal 271,040,125
With that explanation out of the way, let's continue. Next, we take the number 271,040,125 and divide it by 2:
271,040,125 ÷ 2 = 135,520,062.5
If the quotient is a whole number, then 2 and 135,520,062.5 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 | 271,040,125 | |
| -1 | -271,040,125 |
Now, we try dividing 271,040,125 by 3:
271,040,125 ÷ 3 = 90,346,708.3333
If the quotient is a whole number, then 3 and 90,346,708.3333 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 | 271,040,125 | |
| -1 | -271,040,125 |
Let's try dividing by 4:
271,040,125 ÷ 4 = 67,760,031.25
If the quotient is a whole number, then 4 and 67,760,031.25 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 | 271,040,125 | |
| -1 | 271,040,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 67 | 125 | 335 | 1,675 | 8,375 | 32,363 | 161,815 | 809,075 | 2,168,321 | 4,045,375 | 10,841,605 | 54,208,025 | 271,040,125 |
| -1 | -5 | -25 | -67 | -125 | -335 | -1,675 | -8,375 | -32,363 | -161,815 | -809,075 | -2,168,321 | -4,045,375 | -10,841,605 | -54,208,025 | -271,040,125 |
Here are some more numbers to try:
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