A:
Positive:
1 x 2322111055 x 464422217 x 3317301523 x 1009613535 x 6634603115 x 2019227161 x 1442305805 x 288461
Negative:
-1 x -232211105-5 x -46442221-7 x -33173015-23 x -10096135-35 x -6634603-115 x -2019227-161 x -1442305-805 x -288461
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 232,211,105, 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 | 232,211,105 | |
| -1 | -232,211,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 232,211,105.
Example:
1 x 232,211,105 = 232,211,105
and
-1 x -232,211,105 = 232,211,105
Notice both answers equal 232,211,105
With that explanation out of the way, let's continue. Next, we take the number 232,211,105 and divide it by 2:
232,211,105 ÷ 2 = 116,105,552.5
If the quotient is a whole number, then 2 and 116,105,552.5 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 | 232,211,105 | |
| -1 | -232,211,105 |
Now, we try dividing 232,211,105 by 3:
232,211,105 ÷ 3 = 77,403,701.6667
If the quotient is a whole number, then 3 and 77,403,701.6667 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 | 232,211,105 | |
| -1 | -232,211,105 |
Let's try dividing by 4:
232,211,105 ÷ 4 = 58,052,776.25
If the quotient is a whole number, then 4 and 58,052,776.25 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 | 232,211,105 | |
| -1 | 232,211,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 23 | 35 | 115 | 161 | 805 | 288,461 | 1,442,305 | 2,019,227 | 6,634,603 | 10,096,135 | 33,173,015 | 46,442,221 | 232,211,105 |
| -1 | -5 | -7 | -23 | -35 | -115 | -161 | -805 | -288,461 | -1,442,305 | -2,019,227 | -6,634,603 | -10,096,135 | -33,173,015 | -46,442,221 | -232,211,105 |
Here are some more numbers to try:
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