A:
Positive:
1 x 2331272097 x 3330388743 x 5421563193 x 1207913301 x 7745091351 x 1725594013 x 580938299 x 28091
Negative:
-1 x -233127209-7 x -33303887-43 x -5421563-193 x -1207913-301 x -774509-1351 x -172559-4013 x -58093-8299 x -28091
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 233,127,209, 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 | 233,127,209 | |
| -1 | -233,127,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 233,127,209.
Example:
1 x 233,127,209 = 233,127,209
and
-1 x -233,127,209 = 233,127,209
Notice both answers equal 233,127,209
With that explanation out of the way, let's continue. Next, we take the number 233,127,209 and divide it by 2:
233,127,209 ÷ 2 = 116,563,604.5
If the quotient is a whole number, then 2 and 116,563,604.5 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 | 233,127,209 | |
| -1 | -233,127,209 |
Now, we try dividing 233,127,209 by 3:
233,127,209 ÷ 3 = 77,709,069.6667
If the quotient is a whole number, then 3 and 77,709,069.6667 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 | 233,127,209 | |
| -1 | -233,127,209 |
Let's try dividing by 4:
233,127,209 ÷ 4 = 58,281,802.25
If the quotient is a whole number, then 4 and 58,281,802.25 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 | 233,127,209 | |
| -1 | 233,127,209 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 193 | 301 | 1,351 | 4,013 | 8,299 | 28,091 | 58,093 | 172,559 | 774,509 | 1,207,913 | 5,421,563 | 33,303,887 | 233,127,209 |
| -1 | -7 | -43 | -193 | -301 | -1,351 | -4,013 | -8,299 | -28,091 | -58,093 | -172,559 | -774,509 | -1,207,913 | -5,421,563 | -33,303,887 | -233,127,209 |
Here are some more numbers to try:
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