A:
Positive:
1 x 301003017 x 430004311 x 273639143 x 70000777 x 390913301 x 100001473 x 636373311 x 9091
Negative:
-1 x -30100301-7 x -4300043-11 x -2736391-43 x -700007-77 x -390913-301 x -100001-473 x -63637-3311 x -9091
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 30,100,301, 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 | 30,100,301 | |
| -1 | -30,100,301 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,100,301.
Example:
1 x 30,100,301 = 30,100,301
and
-1 x -30,100,301 = 30,100,301
Notice both answers equal 30,100,301
With that explanation out of the way, let's continue. Next, we take the number 30,100,301 and divide it by 2:
30,100,301 ÷ 2 = 15,050,150.5
If the quotient is a whole number, then 2 and 15,050,150.5 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 | 30,100,301 | |
| -1 | -30,100,301 |
Now, we try dividing 30,100,301 by 3:
30,100,301 ÷ 3 = 10,033,433.6667
If the quotient is a whole number, then 3 and 10,033,433.6667 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 | 30,100,301 | |
| -1 | -30,100,301 |
Let's try dividing by 4:
30,100,301 ÷ 4 = 7,525,075.25
If the quotient is a whole number, then 4 and 7,525,075.25 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 | 30,100,301 | |
| -1 | 30,100,301 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 43 | 77 | 301 | 473 | 3,311 | 9,091 | 63,637 | 100,001 | 390,913 | 700,007 | 2,736,391 | 4,300,043 | 30,100,301 |
| -1 | -7 | -11 | -43 | -77 | -301 | -473 | -3,311 | -9,091 | -63,637 | -100,001 | -390,913 | -700,007 | -2,736,391 | -4,300,043 | -30,100,301 |
Here are some more numbers to try:
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