A:
Positive:
1 x 3001211355 x 6002422723 x 13048745115 x 2609749263 x 11411451315 x 2282296049 x 496159923 x 30245
Negative:
-1 x -300121135-5 x -60024227-23 x -13048745-115 x -2609749-263 x -1141145-1315 x -228229-6049 x -49615-9923 x -30245
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 300,121,135, 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 | 300,121,135 | |
| -1 | -300,121,135 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,121,135.
Example:
1 x 300,121,135 = 300,121,135
and
-1 x -300,121,135 = 300,121,135
Notice both answers equal 300,121,135
With that explanation out of the way, let's continue. Next, we take the number 300,121,135 and divide it by 2:
300,121,135 ÷ 2 = 150,060,567.5
If the quotient is a whole number, then 2 and 150,060,567.5 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 | 300,121,135 | |
| -1 | -300,121,135 |
Now, we try dividing 300,121,135 by 3:
300,121,135 ÷ 3 = 100,040,378.3333
If the quotient is a whole number, then 3 and 100,040,378.3333 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 | 300,121,135 | |
| -1 | -300,121,135 |
Let's try dividing by 4:
300,121,135 ÷ 4 = 75,030,283.75
If the quotient is a whole number, then 4 and 75,030,283.75 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 | 300,121,135 | |
| -1 | 300,121,135 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 115 | 263 | 1,315 | 6,049 | 9,923 | 30,245 | 49,615 | 228,229 | 1,141,145 | 2,609,749 | 13,048,745 | 60,024,227 | 300,121,135 |
| -1 | -5 | -23 | -115 | -263 | -1,315 | -6,049 | -9,923 | -30,245 | -49,615 | -228,229 | -1,141,145 | -2,609,749 | -13,048,745 | -60,024,227 | -300,121,135 |
Here are some more numbers to try:
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