A:
Positive:
1 x 302911077 x 432730111 x 275373777 x 393391227 x 1334411589 x 190631733 x 174792497 x 12131
Negative:
-1 x -30291107-7 x -4327301-11 x -2753737-77 x -393391-227 x -133441-1589 x -19063-1733 x -17479-2497 x -12131
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 30,291,107, 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 | 30,291,107 | |
| -1 | -30,291,107 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,291,107.
Example:
1 x 30,291,107 = 30,291,107
and
-1 x -30,291,107 = 30,291,107
Notice both answers equal 30,291,107
With that explanation out of the way, let's continue. Next, we take the number 30,291,107 and divide it by 2:
30,291,107 ÷ 2 = 15,145,553.5
If the quotient is a whole number, then 2 and 15,145,553.5 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 | 30,291,107 | |
| -1 | -30,291,107 |
Now, we try dividing 30,291,107 by 3:
30,291,107 ÷ 3 = 10,097,035.6667
If the quotient is a whole number, then 3 and 10,097,035.6667 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 | 30,291,107 | |
| -1 | -30,291,107 |
Let's try dividing by 4:
30,291,107 ÷ 4 = 7,572,776.75
If the quotient is a whole number, then 4 and 7,572,776.75 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 | 30,291,107 | |
| -1 | 30,291,107 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 227 | 1,589 | 1,733 | 2,497 | 12,131 | 17,479 | 19,063 | 133,441 | 393,391 | 2,753,737 | 4,327,301 | 30,291,107 |
| -1 | -7 | -11 | -77 | -227 | -1,589 | -1,733 | -2,497 | -12,131 | -17,479 | -19,063 | -133,441 | -393,391 | -2,753,737 | -4,327,301 | -30,291,107 |
Here are some more numbers to try:
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