A:
Positive:
1 x 23352134311 x 2122921319 x 1229059771 x 3289033209 x 1117327781 x 2990031349 x 17310714839 x 15737
Negative:
-1 x -233521343-11 x -21229213-19 x -12290597-71 x -3289033-209 x -1117327-781 x -299003-1349 x -173107-14839 x -15737
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 233,521,343, 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 | 233,521,343 | |
| -1 | -233,521,343 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 233,521,343.
Example:
1 x 233,521,343 = 233,521,343
and
-1 x -233,521,343 = 233,521,343
Notice both answers equal 233,521,343
With that explanation out of the way, let's continue. Next, we take the number 233,521,343 and divide it by 2:
233,521,343 ÷ 2 = 116,760,671.5
If the quotient is a whole number, then 2 and 116,760,671.5 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 | 233,521,343 | |
| -1 | -233,521,343 |
Now, we try dividing 233,521,343 by 3:
233,521,343 ÷ 3 = 77,840,447.6667
If the quotient is a whole number, then 3 and 77,840,447.6667 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 | 233,521,343 | |
| -1 | -233,521,343 |
Let's try dividing by 4:
233,521,343 ÷ 4 = 58,380,335.75
If the quotient is a whole number, then 4 and 58,380,335.75 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 | 233,521,343 | |
| -1 | 233,521,343 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 71 | 209 | 781 | 1,349 | 14,839 | 15,737 | 173,107 | 299,003 | 1,117,327 | 3,289,033 | 12,290,597 | 21,229,213 | 233,521,343 |
| -1 | -11 | -19 | -71 | -209 | -781 | -1,349 | -14,839 | -15,737 | -173,107 | -299,003 | -1,117,327 | -3,289,033 | -12,290,597 | -21,229,213 | -233,521,343 |
Here are some more numbers to try:
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