A:
Positive:
1 x 31132113111 x 2830192183 x 3750857277 x 1123903913 x 3409871231 x 2529013047 x 10217313541 x 22991
Negative:
-1 x -311321131-11 x -28301921-83 x -3750857-277 x -1123903-913 x -340987-1231 x -252901-3047 x -102173-13541 x -22991
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 311,321,131, 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 | 311,321,131 | |
| -1 | -311,321,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 311,321,131.
Example:
1 x 311,321,131 = 311,321,131
and
-1 x -311,321,131 = 311,321,131
Notice both answers equal 311,321,131
With that explanation out of the way, let's continue. Next, we take the number 311,321,131 and divide it by 2:
311,321,131 ÷ 2 = 155,660,565.5
If the quotient is a whole number, then 2 and 155,660,565.5 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 | 311,321,131 | |
| -1 | -311,321,131 |
Now, we try dividing 311,321,131 by 3:
311,321,131 ÷ 3 = 103,773,710.3333
If the quotient is a whole number, then 3 and 103,773,710.3333 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 | 311,321,131 | |
| -1 | -311,321,131 |
Let's try dividing by 4:
311,321,131 ÷ 4 = 77,830,282.75
If the quotient is a whole number, then 4 and 77,830,282.75 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 | 311,321,131 | |
| -1 | 311,321,131 |
If you did it right, you will end up with this table:
| 1 | 11 | 83 | 277 | 913 | 1,231 | 3,047 | 13,541 | 22,991 | 102,173 | 252,901 | 340,987 | 1,123,903 | 3,750,857 | 28,301,921 | 311,321,131 |
| -1 | -11 | -83 | -277 | -913 | -1,231 | -3,047 | -13,541 | -22,991 | -102,173 | -252,901 | -340,987 | -1,123,903 | -3,750,857 | -28,301,921 | -311,321,131 |
Here are some more numbers to try:
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