A:
Positive:
1 x 3111242155 x 6222484331 x 1003626567 x 4643645155 x 2007253335 x 9287292077 x 14979510385 x 29959
Negative:
-1 x -311124215-5 x -62224843-31 x -10036265-67 x -4643645-155 x -2007253-335 x -928729-2077 x -149795-10385 x -29959
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 311,124,215, 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 | 311,124,215 | |
| -1 | -311,124,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 311,124,215.
Example:
1 x 311,124,215 = 311,124,215
and
-1 x -311,124,215 = 311,124,215
Notice both answers equal 311,124,215
With that explanation out of the way, let's continue. Next, we take the number 311,124,215 and divide it by 2:
311,124,215 ÷ 2 = 155,562,107.5
If the quotient is a whole number, then 2 and 155,562,107.5 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 | 311,124,215 | |
| -1 | -311,124,215 |
Now, we try dividing 311,124,215 by 3:
311,124,215 ÷ 3 = 103,708,071.6667
If the quotient is a whole number, then 3 and 103,708,071.6667 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 | 311,124,215 | |
| -1 | -311,124,215 |
Let's try dividing by 4:
311,124,215 ÷ 4 = 77,781,053.75
If the quotient is a whole number, then 4 and 77,781,053.75 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 | 311,124,215 | |
| -1 | 311,124,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 67 | 155 | 335 | 2,077 | 10,385 | 29,959 | 149,795 | 928,729 | 2,007,253 | 4,643,645 | 10,036,265 | 62,224,843 | 311,124,215 |
| -1 | -5 | -31 | -67 | -155 | -335 | -2,077 | -10,385 | -29,959 | -149,795 | -928,729 | -2,007,253 | -4,643,645 | -10,036,265 | -62,224,843 | -311,124,215 |
Here are some more numbers to try:
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