A:
Positive:
1 x 303113097 x 433018723 x 131788359 x 513751161 x 188269413 x 733931357 x 223373191 x 9499
Negative:
-1 x -30311309-7 x -4330187-23 x -1317883-59 x -513751-161 x -188269-413 x -73393-1357 x -22337-3191 x -9499
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 30,311,309, 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 | 30,311,309 | |
| -1 | -30,311,309 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,311,309.
Example:
1 x 30,311,309 = 30,311,309
and
-1 x -30,311,309 = 30,311,309
Notice both answers equal 30,311,309
With that explanation out of the way, let's continue. Next, we take the number 30,311,309 and divide it by 2:
30,311,309 ÷ 2 = 15,155,654.5
If the quotient is a whole number, then 2 and 15,155,654.5 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 | 30,311,309 | |
| -1 | -30,311,309 |
Now, we try dividing 30,311,309 by 3:
30,311,309 ÷ 3 = 10,103,769.6667
If the quotient is a whole number, then 3 and 10,103,769.6667 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 | 30,311,309 | |
| -1 | -30,311,309 |
Let's try dividing by 4:
30,311,309 ÷ 4 = 7,577,827.25
If the quotient is a whole number, then 4 and 7,577,827.25 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 | 30,311,309 | |
| -1 | 30,311,309 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 59 | 161 | 413 | 1,357 | 3,191 | 9,499 | 22,337 | 73,393 | 188,269 | 513,751 | 1,317,883 | 4,330,187 | 30,311,309 |
| -1 | -7 | -23 | -59 | -161 | -413 | -1,357 | -3,191 | -9,499 | -22,337 | -73,393 | -188,269 | -513,751 | -1,317,883 | -4,330,187 | -30,311,309 |
Here are some more numbers to try:
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