A:
Positive:
1 x 30056612311 x 2732419313 x 23120471143 x 2101861631 x 4763333331 x 902336941 x 433038203 x 36641
Negative:
-1 x -300566123-11 x -27324193-13 x -23120471-143 x -2101861-631 x -476333-3331 x -90233-6941 x -43303-8203 x -36641
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 300,566,123, 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 | 300,566,123 | |
| -1 | -300,566,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,566,123.
Example:
1 x 300,566,123 = 300,566,123
and
-1 x -300,566,123 = 300,566,123
Notice both answers equal 300,566,123
With that explanation out of the way, let's continue. Next, we take the number 300,566,123 and divide it by 2:
300,566,123 ÷ 2 = 150,283,061.5
If the quotient is a whole number, then 2 and 150,283,061.5 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 | 300,566,123 | |
| -1 | -300,566,123 |
Now, we try dividing 300,566,123 by 3:
300,566,123 ÷ 3 = 100,188,707.6667
If the quotient is a whole number, then 3 and 100,188,707.6667 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 | 300,566,123 | |
| -1 | -300,566,123 |
Let's try dividing by 4:
300,566,123 ÷ 4 = 75,141,530.75
If the quotient is a whole number, then 4 and 75,141,530.75 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 | 300,566,123 | |
| -1 | 300,566,123 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 143 | 631 | 3,331 | 6,941 | 8,203 | 36,641 | 43,303 | 90,233 | 476,333 | 2,101,861 | 23,120,471 | 27,324,193 | 300,566,123 |
| -1 | -11 | -13 | -143 | -631 | -3,331 | -6,941 | -8,203 | -36,641 | -43,303 | -90,233 | -476,333 | -2,101,861 | -23,120,471 | -27,324,193 | -300,566,123 |
Here are some more numbers to try:
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