A:
Positive:
1 x 23152510711 x 2104773723 x 1006630971 x 3260917253 x 915119781 x 2964471633 x 14177912889 x 17963
Negative:
-1 x -231525107-11 x -21047737-23 x -10066309-71 x -3260917-253 x -915119-781 x -296447-1633 x -141779-12889 x -17963
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 231,525,107, 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 | 231,525,107 | |
| -1 | -231,525,107 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,525,107.
Example:
1 x 231,525,107 = 231,525,107
and
-1 x -231,525,107 = 231,525,107
Notice both answers equal 231,525,107
With that explanation out of the way, let's continue. Next, we take the number 231,525,107 and divide it by 2:
231,525,107 ÷ 2 = 115,762,553.5
If the quotient is a whole number, then 2 and 115,762,553.5 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 | 231,525,107 | |
| -1 | -231,525,107 |
Now, we try dividing 231,525,107 by 3:
231,525,107 ÷ 3 = 77,175,035.6667
If the quotient is a whole number, then 3 and 77,175,035.6667 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 | 231,525,107 | |
| -1 | -231,525,107 |
Let's try dividing by 4:
231,525,107 ÷ 4 = 57,881,276.75
If the quotient is a whole number, then 4 and 57,881,276.75 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 | 231,525,107 | |
| -1 | 231,525,107 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 71 | 253 | 781 | 1,633 | 12,889 | 17,963 | 141,779 | 296,447 | 915,119 | 3,260,917 | 10,066,309 | 21,047,737 | 231,525,107 |
| -1 | -11 | -23 | -71 | -253 | -781 | -1,633 | -12,889 | -17,963 | -141,779 | -296,447 | -915,119 | -3,260,917 | -10,066,309 | -21,047,737 | -231,525,107 |
Here are some more numbers to try:
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