A:
Positive:
1 x 3000402255 x 6000804517 x 1764942525 x 1200160985 x 3529885425 x 705977673 x 4458251049 x 2860253365 x 891655245 x 5720511441 x 2622516825 x 17833
Negative:
-1 x -300040225-5 x -60008045-17 x -17649425-25 x -12001609-85 x -3529885-425 x -705977-673 x -445825-1049 x -286025-3365 x -89165-5245 x -57205-11441 x -26225-16825 x -17833
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 300,040,225, 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 | 300,040,225 | |
| -1 | -300,040,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,040,225.
Example:
1 x 300,040,225 = 300,040,225
and
-1 x -300,040,225 = 300,040,225
Notice both answers equal 300,040,225
With that explanation out of the way, let's continue. Next, we take the number 300,040,225 and divide it by 2:
300,040,225 ÷ 2 = 150,020,112.5
If the quotient is a whole number, then 2 and 150,020,112.5 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 | 300,040,225 | |
| -1 | -300,040,225 |
Now, we try dividing 300,040,225 by 3:
300,040,225 ÷ 3 = 100,013,408.3333
If the quotient is a whole number, then 3 and 100,013,408.3333 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 | 300,040,225 | |
| -1 | -300,040,225 |
Let's try dividing by 4:
300,040,225 ÷ 4 = 75,010,056.25
If the quotient is a whole number, then 4 and 75,010,056.25 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 | 300,040,225 | |
| -1 | 300,040,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 85 | 425 | 673 | 1,049 | 3,365 | 5,245 | 11,441 | 16,825 | 17,833 | 26,225 | 57,205 | 89,165 | 286,025 | 445,825 | 705,977 | 3,529,885 | 12,001,609 | 17,649,425 | 60,008,045 | 300,040,225 |
| -1 | -5 | -17 | -25 | -85 | -425 | -673 | -1,049 | -3,365 | -5,245 | -11,441 | -16,825 | -17,833 | -26,225 | -57,205 | -89,165 | -286,025 | -445,825 | -705,977 | -3,529,885 | -12,001,609 | -17,649,425 | -60,008,045 | -300,040,225 |
Here are some more numbers to try:
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