A:
Positive:
1 x 30015646111 x 27286951109 x 2753729139 x 21593991199 x 2503391529 x 1963091801 x 16666115151 x 19811
Negative:
-1 x -300156461-11 x -27286951-109 x -2753729-139 x -2159399-1199 x -250339-1529 x -196309-1801 x -166661-15151 x -19811
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 300,156,461, 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 | 300,156,461 | |
| -1 | -300,156,461 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,156,461.
Example:
1 x 300,156,461 = 300,156,461
and
-1 x -300,156,461 = 300,156,461
Notice both answers equal 300,156,461
With that explanation out of the way, let's continue. Next, we take the number 300,156,461 and divide it by 2:
300,156,461 ÷ 2 = 150,078,230.5
If the quotient is a whole number, then 2 and 150,078,230.5 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 | 300,156,461 | |
| -1 | -300,156,461 |
Now, we try dividing 300,156,461 by 3:
300,156,461 ÷ 3 = 100,052,153.6667
If the quotient is a whole number, then 3 and 100,052,153.6667 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 | 300,156,461 | |
| -1 | -300,156,461 |
Let's try dividing by 4:
300,156,461 ÷ 4 = 75,039,115.25
If the quotient is a whole number, then 4 and 75,039,115.25 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 | 300,156,461 | |
| -1 | 300,156,461 |
If you did it right, you will end up with this table:
| 1 | 11 | 109 | 139 | 1,199 | 1,529 | 1,801 | 15,151 | 19,811 | 166,661 | 196,309 | 250,339 | 2,159,399 | 2,753,729 | 27,286,951 | 300,156,461 |
| -1 | -11 | -109 | -139 | -1,199 | -1,529 | -1,801 | -15,151 | -19,811 | -166,661 | -196,309 | -250,339 | -2,159,399 | -2,753,729 | -27,286,951 | -300,156,461 |
Here are some more numbers to try:
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