A:
Positive:
1 x 3125110317 x 4464443319 x 1644794931 x 10081001133 x 2349707217 x 1440143589 x 5305794123 x 75797
Negative:
-1 x -312511031-7 x -44644433-19 x -16447949-31 x -10081001-133 x -2349707-217 x -1440143-589 x -530579-4123 x -75797
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 312,511,031, 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 | 312,511,031 | |
| -1 | -312,511,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,511,031.
Example:
1 x 312,511,031 = 312,511,031
and
-1 x -312,511,031 = 312,511,031
Notice both answers equal 312,511,031
With that explanation out of the way, let's continue. Next, we take the number 312,511,031 and divide it by 2:
312,511,031 ÷ 2 = 156,255,515.5
If the quotient is a whole number, then 2 and 156,255,515.5 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 | 312,511,031 | |
| -1 | -312,511,031 |
Now, we try dividing 312,511,031 by 3:
312,511,031 ÷ 3 = 104,170,343.6667
If the quotient is a whole number, then 3 and 104,170,343.6667 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 | 312,511,031 | |
| -1 | -312,511,031 |
Let's try dividing by 4:
312,511,031 ÷ 4 = 78,127,757.75
If the quotient is a whole number, then 4 and 78,127,757.75 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 | 312,511,031 | |
| -1 | 312,511,031 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 31 | 133 | 217 | 589 | 4,123 | 75,797 | 530,579 | 1,440,143 | 2,349,707 | 10,081,001 | 16,447,949 | 44,644,433 | 312,511,031 |
| -1 | -7 | -19 | -31 | -133 | -217 | -589 | -4,123 | -75,797 | -530,579 | -1,440,143 | -2,349,707 | -10,081,001 | -16,447,949 | -44,644,433 | -312,511,031 |
Here are some more numbers to try:
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