A:
Positive:
1 x 30030421311 x 2730038341 x 7324493121 x 2481853451 x 6658631331 x 2256234961 x 605335503 x 54571
Negative:
-1 x -300304213-11 x -27300383-41 x -7324493-121 x -2481853-451 x -665863-1331 x -225623-4961 x -60533-5503 x -54571
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 300,304,213, 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 | 300,304,213 | |
| -1 | -300,304,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,304,213.
Example:
1 x 300,304,213 = 300,304,213
and
-1 x -300,304,213 = 300,304,213
Notice both answers equal 300,304,213
With that explanation out of the way, let's continue. Next, we take the number 300,304,213 and divide it by 2:
300,304,213 ÷ 2 = 150,152,106.5
If the quotient is a whole number, then 2 and 150,152,106.5 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 | 300,304,213 | |
| -1 | -300,304,213 |
Now, we try dividing 300,304,213 by 3:
300,304,213 ÷ 3 = 100,101,404.3333
If the quotient is a whole number, then 3 and 100,101,404.3333 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 | 300,304,213 | |
| -1 | -300,304,213 |
Let's try dividing by 4:
300,304,213 ÷ 4 = 75,076,053.25
If the quotient is a whole number, then 4 and 75,076,053.25 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 | 300,304,213 | |
| -1 | 300,304,213 |
If you did it right, you will end up with this table:
| 1 | 11 | 41 | 121 | 451 | 1,331 | 4,961 | 5,503 | 54,571 | 60,533 | 225,623 | 665,863 | 2,481,853 | 7,324,493 | 27,300,383 | 300,304,213 |
| -1 | -11 | -41 | -121 | -451 | -1,331 | -4,961 | -5,503 | -54,571 | -60,533 | -225,623 | -665,863 | -2,481,853 | -7,324,493 | -27,300,383 | -300,304,213 |
Here are some more numbers to try:
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