A:
Positive:
1 x 3100101137 x 4428715917 x 1823588949 x 632673761 x 5082133119 x 2605127427 x 726019833 x 3721611037 x 2989492989 x 1037176101 x 508137259 x 42707
Negative:
-1 x -310010113-7 x -44287159-17 x -18235889-49 x -6326737-61 x -5082133-119 x -2605127-427 x -726019-833 x -372161-1037 x -298949-2989 x -103717-6101 x -50813-7259 x -42707
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 310,010,113, 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 | 310,010,113 | |
| -1 | -310,010,113 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,010,113.
Example:
1 x 310,010,113 = 310,010,113
and
-1 x -310,010,113 = 310,010,113
Notice both answers equal 310,010,113
With that explanation out of the way, let's continue. Next, we take the number 310,010,113 and divide it by 2:
310,010,113 ÷ 2 = 155,005,056.5
If the quotient is a whole number, then 2 and 155,005,056.5 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 | 310,010,113 | |
| -1 | -310,010,113 |
Now, we try dividing 310,010,113 by 3:
310,010,113 ÷ 3 = 103,336,704.3333
If the quotient is a whole number, then 3 and 103,336,704.3333 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 | 310,010,113 | |
| -1 | -310,010,113 |
Let's try dividing by 4:
310,010,113 ÷ 4 = 77,502,528.25
If the quotient is a whole number, then 4 and 77,502,528.25 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 | 310,010,113 | |
| -1 | 310,010,113 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 49 | 61 | 119 | 427 | 833 | 1,037 | 2,989 | 6,101 | 7,259 | 42,707 | 50,813 | 103,717 | 298,949 | 372,161 | 726,019 | 2,605,127 | 5,082,133 | 6,326,737 | 18,235,889 | 44,287,159 | 310,010,113 |
| -1 | -7 | -17 | -49 | -61 | -119 | -427 | -833 | -1,037 | -2,989 | -6,101 | -7,259 | -42,707 | -50,813 | -103,717 | -298,949 | -372,161 | -726,019 | -2,605,127 | -5,082,133 | -6,326,737 | -18,235,889 | -44,287,159 | -310,010,113 |
Here are some more numbers to try:
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