A:
Positive:
1 x 30043550911 x 2731231917 x 17672677101 x 2974609187 x 16066071111 x 2704191717 x 17497715907 x 18887
Negative:
-1 x -300435509-11 x -27312319-17 x -17672677-101 x -2974609-187 x -1606607-1111 x -270419-1717 x -174977-15907 x -18887
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 300,435,509, 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 | 300,435,509 | |
| -1 | -300,435,509 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,435,509.
Example:
1 x 300,435,509 = 300,435,509
and
-1 x -300,435,509 = 300,435,509
Notice both answers equal 300,435,509
With that explanation out of the way, let's continue. Next, we take the number 300,435,509 and divide it by 2:
300,435,509 ÷ 2 = 150,217,754.5
If the quotient is a whole number, then 2 and 150,217,754.5 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 | 300,435,509 | |
| -1 | -300,435,509 |
Now, we try dividing 300,435,509 by 3:
300,435,509 ÷ 3 = 100,145,169.6667
If the quotient is a whole number, then 3 and 100,145,169.6667 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 | 300,435,509 | |
| -1 | -300,435,509 |
Let's try dividing by 4:
300,435,509 ÷ 4 = 75,108,877.25
If the quotient is a whole number, then 4 and 75,108,877.25 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 | 300,435,509 | |
| -1 | 300,435,509 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 101 | 187 | 1,111 | 1,717 | 15,907 | 18,887 | 174,977 | 270,419 | 1,606,607 | 2,974,609 | 17,672,677 | 27,312,319 | 300,435,509 |
| -1 | -11 | -17 | -101 | -187 | -1,111 | -1,717 | -15,907 | -18,887 | -174,977 | -270,419 | -1,606,607 | -2,974,609 | -17,672,677 | -27,312,319 | -300,435,509 |
Here are some more numbers to try:
Try the factor calculator