A:
Positive:
1 x 3113212137 x 4447445919 x 16385327133 x 2340761431 x 7223233017 x 1031895431 x 573238189 x 38017
Negative:
-1 x -311321213-7 x -44474459-19 x -16385327-133 x -2340761-431 x -722323-3017 x -103189-5431 x -57323-8189 x -38017
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 311,321,213, 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 | 311,321,213 | |
| -1 | -311,321,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 311,321,213.
Example:
1 x 311,321,213 = 311,321,213
and
-1 x -311,321,213 = 311,321,213
Notice both answers equal 311,321,213
With that explanation out of the way, let's continue. Next, we take the number 311,321,213 and divide it by 2:
311,321,213 ÷ 2 = 155,660,606.5
If the quotient is a whole number, then 2 and 155,660,606.5 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 | 311,321,213 | |
| -1 | -311,321,213 |
Now, we try dividing 311,321,213 by 3:
311,321,213 ÷ 3 = 103,773,737.6667
If the quotient is a whole number, then 3 and 103,773,737.6667 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 | 311,321,213 | |
| -1 | -311,321,213 |
Let's try dividing by 4:
311,321,213 ÷ 4 = 77,830,303.25
If the quotient is a whole number, then 4 and 77,830,303.25 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 | 311,321,213 | |
| -1 | 311,321,213 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 133 | 431 | 3,017 | 5,431 | 8,189 | 38,017 | 57,323 | 103,189 | 722,323 | 2,340,761 | 16,385,327 | 44,474,459 | 311,321,213 |
| -1 | -7 | -19 | -133 | -431 | -3,017 | -5,431 | -8,189 | -38,017 | -57,323 | -103,189 | -722,323 | -2,340,761 | -16,385,327 | -44,474,459 | -311,321,213 |
Here are some more numbers to try:
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