A:
Positive:
1 x 31102303111 x 2827482131 x 1003300197 x 3206423341 x 9120911067 x 2914933007 x 1034339403 x 33077
Negative:
-1 x -311023031-11 x -28274821-31 x -10033001-97 x -3206423-341 x -912091-1067 x -291493-3007 x -103433-9403 x -33077
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 311,023,031, 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 | 311,023,031 | |
| -1 | -311,023,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 311,023,031.
Example:
1 x 311,023,031 = 311,023,031
and
-1 x -311,023,031 = 311,023,031
Notice both answers equal 311,023,031
With that explanation out of the way, let's continue. Next, we take the number 311,023,031 and divide it by 2:
311,023,031 ÷ 2 = 155,511,515.5
If the quotient is a whole number, then 2 and 155,511,515.5 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 | 311,023,031 | |
| -1 | -311,023,031 |
Now, we try dividing 311,023,031 by 3:
311,023,031 ÷ 3 = 103,674,343.6667
If the quotient is a whole number, then 3 and 103,674,343.6667 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 | 311,023,031 | |
| -1 | -311,023,031 |
Let's try dividing by 4:
311,023,031 ÷ 4 = 77,755,757.75
If the quotient is a whole number, then 4 and 77,755,757.75 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 | 311,023,031 | |
| -1 | 311,023,031 |
If you did it right, you will end up with this table:
| 1 | 11 | 31 | 97 | 341 | 1,067 | 3,007 | 9,403 | 33,077 | 103,433 | 291,493 | 912,091 | 3,206,423 | 10,033,001 | 28,274,821 | 311,023,031 |
| -1 | -11 | -31 | -97 | -341 | -1,067 | -3,007 | -9,403 | -33,077 | -103,433 | -291,493 | -912,091 | -3,206,423 | -10,033,001 | -28,274,821 | -311,023,031 |
Here are some more numbers to try:
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