A:
Positive:
1 x 302311317 x 431873323 x 1314397161 x 187771179 x 1688891049 x 288191253 x 241274117 x 7343
Negative:
-1 x -30231131-7 x -4318733-23 x -1314397-161 x -187771-179 x -168889-1049 x -28819-1253 x -24127-4117 x -7343
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 30,231,131, 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 | 30,231,131 | |
| -1 | -30,231,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,231,131.
Example:
1 x 30,231,131 = 30,231,131
and
-1 x -30,231,131 = 30,231,131
Notice both answers equal 30,231,131
With that explanation out of the way, let's continue. Next, we take the number 30,231,131 and divide it by 2:
30,231,131 ÷ 2 = 15,115,565.5
If the quotient is a whole number, then 2 and 15,115,565.5 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 | 30,231,131 | |
| -1 | -30,231,131 |
Now, we try dividing 30,231,131 by 3:
30,231,131 ÷ 3 = 10,077,043.6667
If the quotient is a whole number, then 3 and 10,077,043.6667 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 | 30,231,131 | |
| -1 | -30,231,131 |
Let's try dividing by 4:
30,231,131 ÷ 4 = 7,557,782.75
If the quotient is a whole number, then 4 and 7,557,782.75 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 | 30,231,131 | |
| -1 | 30,231,131 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 179 | 1,049 | 1,253 | 4,117 | 7,343 | 24,127 | 28,819 | 168,889 | 187,771 | 1,314,397 | 4,318,733 | 30,231,131 |
| -1 | -7 | -23 | -161 | -179 | -1,049 | -1,253 | -4,117 | -7,343 | -24,127 | -28,819 | -168,889 | -187,771 | -1,314,397 | -4,318,733 | -30,231,131 |
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