A:
Positive:
1 x 23141515111 x 2103774161 x 3793691353 x 655567671 x 344881977 x 2368633883 x 5959710747 x 21533
Negative:
-1 x -231415151-11 x -21037741-61 x -3793691-353 x -655567-671 x -344881-977 x -236863-3883 x -59597-10747 x -21533
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 231,415,151, 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 | 231,415,151 | |
| -1 | -231,415,151 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,415,151.
Example:
1 x 231,415,151 = 231,415,151
and
-1 x -231,415,151 = 231,415,151
Notice both answers equal 231,415,151
With that explanation out of the way, let's continue. Next, we take the number 231,415,151 and divide it by 2:
231,415,151 ÷ 2 = 115,707,575.5
If the quotient is a whole number, then 2 and 115,707,575.5 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 | 231,415,151 | |
| -1 | -231,415,151 |
Now, we try dividing 231,415,151 by 3:
231,415,151 ÷ 3 = 77,138,383.6667
If the quotient is a whole number, then 3 and 77,138,383.6667 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 | 231,415,151 | |
| -1 | -231,415,151 |
Let's try dividing by 4:
231,415,151 ÷ 4 = 57,853,787.75
If the quotient is a whole number, then 4 and 57,853,787.75 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 | 231,415,151 | |
| -1 | 231,415,151 |
If you did it right, you will end up with this table:
| 1 | 11 | 61 | 353 | 671 | 977 | 3,883 | 10,747 | 21,533 | 59,597 | 236,863 | 344,881 | 655,567 | 3,793,691 | 21,037,741 | 231,415,151 |
| -1 | -11 | -61 | -353 | -671 | -977 | -3,883 | -10,747 | -21,533 | -59,597 | -236,863 | -344,881 | -655,567 | -3,793,691 | -21,037,741 | -231,415,151 |
Here are some more numbers to try:
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