A:
Positive:
1 x 30100120713 x 2315393923 x 1308700947 x 6404281299 x 1006693611 x 4926371081 x 27844714053 x 21419
Negative:
-1 x -301001207-13 x -23153939-23 x -13087009-47 x -6404281-299 x -1006693-611 x -492637-1081 x -278447-14053 x -21419
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 301,001,207, 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 | 301,001,207 | |
| -1 | -301,001,207 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,001,207.
Example:
1 x 301,001,207 = 301,001,207
and
-1 x -301,001,207 = 301,001,207
Notice both answers equal 301,001,207
With that explanation out of the way, let's continue. Next, we take the number 301,001,207 and divide it by 2:
301,001,207 ÷ 2 = 150,500,603.5
If the quotient is a whole number, then 2 and 150,500,603.5 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 | 301,001,207 | |
| -1 | -301,001,207 |
Now, we try dividing 301,001,207 by 3:
301,001,207 ÷ 3 = 100,333,735.6667
If the quotient is a whole number, then 3 and 100,333,735.6667 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 | 301,001,207 | |
| -1 | -301,001,207 |
Let's try dividing by 4:
301,001,207 ÷ 4 = 75,250,301.75
If the quotient is a whole number, then 4 and 75,250,301.75 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 | 301,001,207 | |
| -1 | 301,001,207 |
If you did it right, you will end up with this table:
| 1 | 13 | 23 | 47 | 299 | 611 | 1,081 | 14,053 | 21,419 | 278,447 | 492,637 | 1,006,693 | 6,404,281 | 13,087,009 | 23,153,939 | 301,001,207 |
| -1 | -13 | -23 | -47 | -299 | -611 | -1,081 | -14,053 | -21,419 | -278,447 | -492,637 | -1,006,693 | -6,404,281 | -13,087,009 | -23,153,939 | -301,001,207 |
Here are some more numbers to try:
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