A:
Positive:
1 x 30002353117 x 1764844329 x 10345639223 x 1345397493 x 6085672729 x 1099393791 x 791416467 x 46393
Negative:
-1 x -300023531-17 x -17648443-29 x -10345639-223 x -1345397-493 x -608567-2729 x -109939-3791 x -79141-6467 x -46393
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 300,023,531, 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 | 300,023,531 | |
| -1 | -300,023,531 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,023,531.
Example:
1 x 300,023,531 = 300,023,531
and
-1 x -300,023,531 = 300,023,531
Notice both answers equal 300,023,531
With that explanation out of the way, let's continue. Next, we take the number 300,023,531 and divide it by 2:
300,023,531 ÷ 2 = 150,011,765.5
If the quotient is a whole number, then 2 and 150,011,765.5 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 | 300,023,531 | |
| -1 | -300,023,531 |
Now, we try dividing 300,023,531 by 3:
300,023,531 ÷ 3 = 100,007,843.6667
If the quotient is a whole number, then 3 and 100,007,843.6667 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 | 300,023,531 | |
| -1 | -300,023,531 |
Let's try dividing by 4:
300,023,531 ÷ 4 = 75,005,882.75
If the quotient is a whole number, then 4 and 75,005,882.75 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 | 300,023,531 | |
| -1 | 300,023,531 |
If you did it right, you will end up with this table:
| 1 | 17 | 29 | 223 | 493 | 2,729 | 3,791 | 6,467 | 46,393 | 79,141 | 109,939 | 608,567 | 1,345,397 | 10,345,639 | 17,648,443 | 300,023,531 |
| -1 | -17 | -29 | -223 | -493 | -2,729 | -3,791 | -6,467 | -46,393 | -79,141 | -109,939 | -608,567 | -1,345,397 | -10,345,639 | -17,648,443 | -300,023,531 |
Here are some more numbers to try:
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