A:
Positive:
1 x 30180135711 x 2743648713 x 2321548917 x 17753021143 x 2110499187 x 1613911221 x 13656172431 x 124147
Negative:
-1 x -301801357-11 x -27436487-13 x -23215489-17 x -17753021-143 x -2110499-187 x -1613911-221 x -1365617-2431 x -124147
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 301,801,357, 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 | 301,801,357 | |
| -1 | -301,801,357 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,801,357.
Example:
1 x 301,801,357 = 301,801,357
and
-1 x -301,801,357 = 301,801,357
Notice both answers equal 301,801,357
With that explanation out of the way, let's continue. Next, we take the number 301,801,357 and divide it by 2:
301,801,357 ÷ 2 = 150,900,678.5
If the quotient is a whole number, then 2 and 150,900,678.5 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 | 301,801,357 | |
| -1 | -301,801,357 |
Now, we try dividing 301,801,357 by 3:
301,801,357 ÷ 3 = 100,600,452.3333
If the quotient is a whole number, then 3 and 100,600,452.3333 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 | 301,801,357 | |
| -1 | -301,801,357 |
Let's try dividing by 4:
301,801,357 ÷ 4 = 75,450,339.25
If the quotient is a whole number, then 4 and 75,450,339.25 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 | 301,801,357 | |
| -1 | 301,801,357 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 17 | 143 | 187 | 221 | 2,431 | 124,147 | 1,365,617 | 1,613,911 | 2,110,499 | 17,753,021 | 23,215,489 | 27,436,487 | 301,801,357 |
| -1 | -11 | -13 | -17 | -143 | -187 | -221 | -2,431 | -124,147 | -1,365,617 | -1,613,911 | -2,110,499 | -17,753,021 | -23,215,489 | -27,436,487 | -301,801,357 |
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