A:
Positive:
1 x 3104320317 x 4434743313 x 2387938791 x 3411341251 x 12367811757 x 1766833263 x 9513713591 x 22841
Negative:
-1 x -310432031-7 x -44347433-13 x -23879387-91 x -3411341-251 x -1236781-1757 x -176683-3263 x -95137-13591 x -22841
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 310,432,031, 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 | 310,432,031 | |
| -1 | -310,432,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,432,031.
Example:
1 x 310,432,031 = 310,432,031
and
-1 x -310,432,031 = 310,432,031
Notice both answers equal 310,432,031
With that explanation out of the way, let's continue. Next, we take the number 310,432,031 and divide it by 2:
310,432,031 ÷ 2 = 155,216,015.5
If the quotient is a whole number, then 2 and 155,216,015.5 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 | 310,432,031 | |
| -1 | -310,432,031 |
Now, we try dividing 310,432,031 by 3:
310,432,031 ÷ 3 = 103,477,343.6667
If the quotient is a whole number, then 3 and 103,477,343.6667 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 | 310,432,031 | |
| -1 | -310,432,031 |
Let's try dividing by 4:
310,432,031 ÷ 4 = 77,608,007.75
If the quotient is a whole number, then 4 and 77,608,007.75 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 | 310,432,031 | |
| -1 | 310,432,031 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 251 | 1,757 | 3,263 | 13,591 | 22,841 | 95,137 | 176,683 | 1,236,781 | 3,411,341 | 23,879,387 | 44,347,433 | 310,432,031 |
| -1 | -7 | -13 | -91 | -251 | -1,757 | -3,263 | -13,591 | -22,841 | -95,137 | -176,683 | -1,236,781 | -3,411,341 | -23,879,387 | -44,347,433 | -310,432,031 |
Here are some more numbers to try:
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