A:
Positive:
1 x 30031102323 x 13057001103 x 2915641109 x 27551471163 x 2582212369 x 1267672507 x 11978911227 x 26749
Negative:
-1 x -300311023-23 x -13057001-103 x -2915641-109 x -2755147-1163 x -258221-2369 x -126767-2507 x -119789-11227 x -26749
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 300,311,023, 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 | 300,311,023 | |
| -1 | -300,311,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,311,023.
Example:
1 x 300,311,023 = 300,311,023
and
-1 x -300,311,023 = 300,311,023
Notice both answers equal 300,311,023
With that explanation out of the way, let's continue. Next, we take the number 300,311,023 and divide it by 2:
300,311,023 ÷ 2 = 150,155,511.5
If the quotient is a whole number, then 2 and 150,155,511.5 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 | 300,311,023 | |
| -1 | -300,311,023 |
Now, we try dividing 300,311,023 by 3:
300,311,023 ÷ 3 = 100,103,674.3333
If the quotient is a whole number, then 3 and 100,103,674.3333 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 | 300,311,023 | |
| -1 | -300,311,023 |
Let's try dividing by 4:
300,311,023 ÷ 4 = 75,077,755.75
If the quotient is a whole number, then 4 and 75,077,755.75 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 | 300,311,023 | |
| -1 | 300,311,023 |
If you did it right, you will end up with this table:
| 1 | 23 | 103 | 109 | 1,163 | 2,369 | 2,507 | 11,227 | 26,749 | 119,789 | 126,767 | 258,221 | 2,755,147 | 2,915,641 | 13,057,001 | 300,311,023 |
| -1 | -23 | -103 | -109 | -1,163 | -2,369 | -2,507 | -11,227 | -26,749 | -119,789 | -126,767 | -258,221 | -2,755,147 | -2,915,641 | -13,057,001 | -300,311,023 |
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