A:
Positive:
1 x 3040200317 x 4343143353 x 5736227233 x 1304807371 x 8194611631 x 1864013517 x 8644312349 x 24619
Negative:
-1 x -304020031-7 x -43431433-53 x -5736227-233 x -1304807-371 x -819461-1631 x -186401-3517 x -86443-12349 x -24619
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 304,020,031, 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 | 304,020,031 | |
| -1 | -304,020,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 304,020,031.
Example:
1 x 304,020,031 = 304,020,031
and
-1 x -304,020,031 = 304,020,031
Notice both answers equal 304,020,031
With that explanation out of the way, let's continue. Next, we take the number 304,020,031 and divide it by 2:
304,020,031 ÷ 2 = 152,010,015.5
If the quotient is a whole number, then 2 and 152,010,015.5 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 | 304,020,031 | |
| -1 | -304,020,031 |
Now, we try dividing 304,020,031 by 3:
304,020,031 ÷ 3 = 101,340,010.3333
If the quotient is a whole number, then 3 and 101,340,010.3333 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 | 304,020,031 | |
| -1 | -304,020,031 |
Let's try dividing by 4:
304,020,031 ÷ 4 = 76,005,007.75
If the quotient is a whole number, then 4 and 76,005,007.75 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 | 304,020,031 | |
| -1 | 304,020,031 |
If you did it right, you will end up with this table:
| 1 | 7 | 53 | 233 | 371 | 1,631 | 3,517 | 12,349 | 24,619 | 86,443 | 186,401 | 819,461 | 1,304,807 | 5,736,227 | 43,431,433 | 304,020,031 |
| -1 | -7 | -53 | -233 | -371 | -1,631 | -3,517 | -12,349 | -24,619 | -86,443 | -186,401 | -819,461 | -1,304,807 | -5,736,227 | -43,431,433 | -304,020,031 |
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