A:
Positive:
1 x 2708842255 x 5417684523 x 1177757525 x 1083536961 x 4440725115 x 2355515305 x 888145575 x 4711031403 x 1930751525 x 1776297015 x 386157723 x 35075
Negative:
-1 x -270884225-5 x -54176845-23 x -11777575-25 x -10835369-61 x -4440725-115 x -2355515-305 x -888145-575 x -471103-1403 x -193075-1525 x -177629-7015 x -38615-7723 x -35075
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 270,884,225, 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 | 270,884,225 | |
| -1 | -270,884,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 270,884,225.
Example:
1 x 270,884,225 = 270,884,225
and
-1 x -270,884,225 = 270,884,225
Notice both answers equal 270,884,225
With that explanation out of the way, let's continue. Next, we take the number 270,884,225 and divide it by 2:
270,884,225 ÷ 2 = 135,442,112.5
If the quotient is a whole number, then 2 and 135,442,112.5 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 | 270,884,225 | |
| -1 | -270,884,225 |
Now, we try dividing 270,884,225 by 3:
270,884,225 ÷ 3 = 90,294,741.6667
If the quotient is a whole number, then 3 and 90,294,741.6667 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 | 270,884,225 | |
| -1 | -270,884,225 |
Let's try dividing by 4:
270,884,225 ÷ 4 = 67,721,056.25
If the quotient is a whole number, then 4 and 67,721,056.25 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 | 270,884,225 | |
| -1 | 270,884,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 25 | 61 | 115 | 305 | 575 | 1,403 | 1,525 | 7,015 | 7,723 | 35,075 | 38,615 | 177,629 | 193,075 | 471,103 | 888,145 | 2,355,515 | 4,440,725 | 10,835,369 | 11,777,575 | 54,176,845 | 270,884,225 |
| -1 | -5 | -23 | -25 | -61 | -115 | -305 | -575 | -1,403 | -1,525 | -7,015 | -7,723 | -35,075 | -38,615 | -177,629 | -193,075 | -471,103 | -888,145 | -2,355,515 | -4,440,725 | -10,835,369 | -11,777,575 | -54,176,845 | -270,884,225 |
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