A:
Positive:
1 x 3006121255 x 6012242511 x 2732837525 x 1202448555 x 5465675125 x 2404897275 x 10931351375 x 218627
Negative:
-1 x -300612125-5 x -60122425-11 x -27328375-25 x -12024485-55 x -5465675-125 x -2404897-275 x -1093135-1375 x -218627
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 300,612,125, 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 | 300,612,125 | |
| -1 | -300,612,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,612,125.
Example:
1 x 300,612,125 = 300,612,125
and
-1 x -300,612,125 = 300,612,125
Notice both answers equal 300,612,125
With that explanation out of the way, let's continue. Next, we take the number 300,612,125 and divide it by 2:
300,612,125 ÷ 2 = 150,306,062.5
If the quotient is a whole number, then 2 and 150,306,062.5 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 | 300,612,125 | |
| -1 | -300,612,125 |
Now, we try dividing 300,612,125 by 3:
300,612,125 ÷ 3 = 100,204,041.6667
If the quotient is a whole number, then 3 and 100,204,041.6667 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 | 300,612,125 | |
| -1 | -300,612,125 |
Let's try dividing by 4:
300,612,125 ÷ 4 = 75,153,031.25
If the quotient is a whole number, then 4 and 75,153,031.25 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 | 300,612,125 | |
| -1 | 300,612,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 125 | 275 | 1,375 | 218,627 | 1,093,135 | 2,404,897 | 5,465,675 | 12,024,485 | 27,328,375 | 60,122,425 | 300,612,125 |
| -1 | -5 | -11 | -25 | -55 | -125 | -275 | -1,375 | -218,627 | -1,093,135 | -2,404,897 | -5,465,675 | -12,024,485 | -27,328,375 | -60,122,425 | -300,612,125 |
Here are some more numbers to try:
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