A:
Positive:
1 x 23311102111 x 2119191113 x 1793161717 x 13712413143 x 1630147187 x 1246583221 x 10548012431 x 95891
Negative:
-1 x -233111021-11 x -21191911-13 x -17931617-17 x -13712413-143 x -1630147-187 x -1246583-221 x -1054801-2431 x -95891
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 233,111,021, 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 | 233,111,021 | |
| -1 | -233,111,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 233,111,021.
Example:
1 x 233,111,021 = 233,111,021
and
-1 x -233,111,021 = 233,111,021
Notice both answers equal 233,111,021
With that explanation out of the way, let's continue. Next, we take the number 233,111,021 and divide it by 2:
233,111,021 ÷ 2 = 116,555,510.5
If the quotient is a whole number, then 2 and 116,555,510.5 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 | 233,111,021 | |
| -1 | -233,111,021 |
Now, we try dividing 233,111,021 by 3:
233,111,021 ÷ 3 = 77,703,673.6667
If the quotient is a whole number, then 3 and 77,703,673.6667 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 | 233,111,021 | |
| -1 | -233,111,021 |
Let's try dividing by 4:
233,111,021 ÷ 4 = 58,277,755.25
If the quotient is a whole number, then 4 and 58,277,755.25 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 | 233,111,021 | |
| -1 | 233,111,021 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 17 | 143 | 187 | 221 | 2,431 | 95,891 | 1,054,801 | 1,246,583 | 1,630,147 | 13,712,413 | 17,931,617 | 21,191,911 | 233,111,021 |
| -1 | -11 | -13 | -17 | -143 | -187 | -221 | -2,431 | -95,891 | -1,054,801 | -1,246,583 | -1,630,147 | -13,712,413 | -17,931,617 | -21,191,911 | -233,111,021 |
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