A:
Positive:
1 x 3200322355 x 6400644723 x 13914445115 x 27828891019 x 3140652731 x 1171855095 x 6281313655 x 23437
Negative:
-1 x -320032235-5 x -64006447-23 x -13914445-115 x -2782889-1019 x -314065-2731 x -117185-5095 x -62813-13655 x -23437
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 320,032,235, 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 | 320,032,235 | |
| -1 | -320,032,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 320,032,235.
Example:
1 x 320,032,235 = 320,032,235
and
-1 x -320,032,235 = 320,032,235
Notice both answers equal 320,032,235
With that explanation out of the way, let's continue. Next, we take the number 320,032,235 and divide it by 2:
320,032,235 ÷ 2 = 160,016,117.5
If the quotient is a whole number, then 2 and 160,016,117.5 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 | 320,032,235 | |
| -1 | -320,032,235 |
Now, we try dividing 320,032,235 by 3:
320,032,235 ÷ 3 = 106,677,411.6667
If the quotient is a whole number, then 3 and 106,677,411.6667 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 | 320,032,235 | |
| -1 | -320,032,235 |
Let's try dividing by 4:
320,032,235 ÷ 4 = 80,008,058.75
If the quotient is a whole number, then 4 and 80,008,058.75 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 | 320,032,235 | |
| -1 | 320,032,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 115 | 1,019 | 2,731 | 5,095 | 13,655 | 23,437 | 62,813 | 117,185 | 314,065 | 2,782,889 | 13,914,445 | 64,006,447 | 320,032,235 |
| -1 | -5 | -23 | -115 | -1,019 | -2,731 | -5,095 | -13,655 | -23,437 | -62,813 | -117,185 | -314,065 | -2,782,889 | -13,914,445 | -64,006,447 | -320,032,235 |
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