A:
Positive:
1 x 303103017 x 433004319 x 1595279133 x 227897349 x 86849653 x 464172443 x 124074571 x 6631
Negative:
-1 x -30310301-7 x -4330043-19 x -1595279-133 x -227897-349 x -86849-653 x -46417-2443 x -12407-4571 x -6631
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 30,310,301, 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 | 30,310,301 | |
| -1 | -30,310,301 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,310,301.
Example:
1 x 30,310,301 = 30,310,301
and
-1 x -30,310,301 = 30,310,301
Notice both answers equal 30,310,301
With that explanation out of the way, let's continue. Next, we take the number 30,310,301 and divide it by 2:
30,310,301 ÷ 2 = 15,155,150.5
If the quotient is a whole number, then 2 and 15,155,150.5 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 | 30,310,301 | |
| -1 | -30,310,301 |
Now, we try dividing 30,310,301 by 3:
30,310,301 ÷ 3 = 10,103,433.6667
If the quotient is a whole number, then 3 and 10,103,433.6667 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 | 30,310,301 | |
| -1 | -30,310,301 |
Let's try dividing by 4:
30,310,301 ÷ 4 = 7,577,575.25
If the quotient is a whole number, then 4 and 7,577,575.25 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 | 30,310,301 | |
| -1 | 30,310,301 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 133 | 349 | 653 | 2,443 | 4,571 | 6,631 | 12,407 | 46,417 | 86,849 | 227,897 | 1,595,279 | 4,330,043 | 30,310,301 |
| -1 | -7 | -19 | -133 | -349 | -653 | -2,443 | -4,571 | -6,631 | -12,407 | -46,417 | -86,849 | -227,897 | -1,595,279 | -4,330,043 | -30,310,301 |
Here are some more numbers to try:
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