A:
Positive:
1 x 3003354055 x 6006708147 x 6390115235 x 1278023241 x 12462051205 x 2492415303 x 5663511327 x 26515
Negative:
-1 x -300335405-5 x -60067081-47 x -6390115-235 x -1278023-241 x -1246205-1205 x -249241-5303 x -56635-11327 x -26515
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 300,335,405, 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 | 300,335,405 | |
| -1 | -300,335,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,335,405.
Example:
1 x 300,335,405 = 300,335,405
and
-1 x -300,335,405 = 300,335,405
Notice both answers equal 300,335,405
With that explanation out of the way, let's continue. Next, we take the number 300,335,405 and divide it by 2:
300,335,405 ÷ 2 = 150,167,702.5
If the quotient is a whole number, then 2 and 150,167,702.5 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 | 300,335,405 | |
| -1 | -300,335,405 |
Now, we try dividing 300,335,405 by 3:
300,335,405 ÷ 3 = 100,111,801.6667
If the quotient is a whole number, then 3 and 100,111,801.6667 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 | 300,335,405 | |
| -1 | -300,335,405 |
Let's try dividing by 4:
300,335,405 ÷ 4 = 75,083,851.25
If the quotient is a whole number, then 4 and 75,083,851.25 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 | 300,335,405 | |
| -1 | 300,335,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 47 | 235 | 241 | 1,205 | 5,303 | 11,327 | 26,515 | 56,635 | 249,241 | 1,246,205 | 1,278,023 | 6,390,115 | 60,067,081 | 300,335,405 |
| -1 | -5 | -47 | -235 | -241 | -1,205 | -5,303 | -11,327 | -26,515 | -56,635 | -249,241 | -1,246,205 | -1,278,023 | -6,390,115 | -60,067,081 | -300,335,405 |
Here are some more numbers to try:
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