A:
Positive:
1 x 23103131329 x 796659731 x 745262379 x 2924447899 x 2569872291 x 1008432449 x 943373253 x 71021
Negative:
-1 x -231031313-29 x -7966597-31 x -7452623-79 x -2924447-899 x -256987-2291 x -100843-2449 x -94337-3253 x -71021
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 231,031,313, 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 | 231,031,313 | |
| -1 | -231,031,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,031,313.
Example:
1 x 231,031,313 = 231,031,313
and
-1 x -231,031,313 = 231,031,313
Notice both answers equal 231,031,313
With that explanation out of the way, let's continue. Next, we take the number 231,031,313 and divide it by 2:
231,031,313 ÷ 2 = 115,515,656.5
If the quotient is a whole number, then 2 and 115,515,656.5 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 | 231,031,313 | |
| -1 | -231,031,313 |
Now, we try dividing 231,031,313 by 3:
231,031,313 ÷ 3 = 77,010,437.6667
If the quotient is a whole number, then 3 and 77,010,437.6667 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 | 231,031,313 | |
| -1 | -231,031,313 |
Let's try dividing by 4:
231,031,313 ÷ 4 = 57,757,828.25
If the quotient is a whole number, then 4 and 57,757,828.25 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 | 231,031,313 | |
| -1 | 231,031,313 |
If you did it right, you will end up with this table:
| 1 | 29 | 31 | 79 | 899 | 2,291 | 2,449 | 3,253 | 71,021 | 94,337 | 100,843 | 256,987 | 2,924,447 | 7,452,623 | 7,966,597 | 231,031,313 |
| -1 | -29 | -31 | -79 | -899 | -2,291 | -2,449 | -3,253 | -71,021 | -94,337 | -100,843 | -256,987 | -2,924,447 | -7,452,623 | -7,966,597 | -231,031,313 |
Here are some more numbers to try:
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