A:
Positive:
1 x 3006122217 x 4294460313 x 2312401791 x 3303431181 x 16608411267 x 2372632353 x 12775716471 x 18251
Negative:
-1 x -300612221-7 x -42944603-13 x -23124017-91 x -3303431-181 x -1660841-1267 x -237263-2353 x -127757-16471 x -18251
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 300,612,221, 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 | 300,612,221 | |
| -1 | -300,612,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,612,221.
Example:
1 x 300,612,221 = 300,612,221
and
-1 x -300,612,221 = 300,612,221
Notice both answers equal 300,612,221
With that explanation out of the way, let's continue. Next, we take the number 300,612,221 and divide it by 2:
300,612,221 ÷ 2 = 150,306,110.5
If the quotient is a whole number, then 2 and 150,306,110.5 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 | 300,612,221 | |
| -1 | -300,612,221 |
Now, we try dividing 300,612,221 by 3:
300,612,221 ÷ 3 = 100,204,073.6667
If the quotient is a whole number, then 3 and 100,204,073.6667 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 | 300,612,221 | |
| -1 | -300,612,221 |
Let's try dividing by 4:
300,612,221 ÷ 4 = 75,153,055.25
If the quotient is a whole number, then 4 and 75,153,055.25 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 | 300,612,221 | |
| -1 | 300,612,221 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 181 | 1,267 | 2,353 | 16,471 | 18,251 | 127,757 | 237,263 | 1,660,841 | 3,303,431 | 23,124,017 | 42,944,603 | 300,612,221 |
| -1 | -7 | -13 | -91 | -181 | -1,267 | -2,353 | -16,471 | -18,251 | -127,757 | -237,263 | -1,660,841 | -3,303,431 | -23,124,017 | -42,944,603 | -300,612,221 |
Here are some more numbers to try:
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