A:
Positive:
1 x 2908350655 x 5816701317 x 1710794585 x 3421589131 x 2220115655 x 4440232227 x 13059511135 x 26119
Negative:
-1 x -290835065-5 x -58167013-17 x -17107945-85 x -3421589-131 x -2220115-655 x -444023-2227 x -130595-11135 x -26119
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 290,835,065, 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 | 290,835,065 | |
| -1 | -290,835,065 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 290,835,065.
Example:
1 x 290,835,065 = 290,835,065
and
-1 x -290,835,065 = 290,835,065
Notice both answers equal 290,835,065
With that explanation out of the way, let's continue. Next, we take the number 290,835,065 and divide it by 2:
290,835,065 ÷ 2 = 145,417,532.5
If the quotient is a whole number, then 2 and 145,417,532.5 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 | 290,835,065 | |
| -1 | -290,835,065 |
Now, we try dividing 290,835,065 by 3:
290,835,065 ÷ 3 = 96,945,021.6667
If the quotient is a whole number, then 3 and 96,945,021.6667 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 | 290,835,065 | |
| -1 | -290,835,065 |
Let's try dividing by 4:
290,835,065 ÷ 4 = 72,708,766.25
If the quotient is a whole number, then 4 and 72,708,766.25 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 | 290,835,065 | |
| -1 | 290,835,065 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 131 | 655 | 2,227 | 11,135 | 26,119 | 130,595 | 444,023 | 2,220,115 | 3,421,589 | 17,107,945 | 58,167,013 | 290,835,065 |
| -1 | -5 | -17 | -85 | -131 | -655 | -2,227 | -11,135 | -26,119 | -130,595 | -444,023 | -2,220,115 | -3,421,589 | -17,107,945 | -58,167,013 | -290,835,065 |
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