A:
Positive:
1 x 303910255 x 60782057 x 434157525 x 121564135 x 86831549 x 620225175 x 173663245 x 1240451225 x 24809
Negative:
-1 x -30391025-5 x -6078205-7 x -4341575-25 x -1215641-35 x -868315-49 x -620225-175 x -173663-245 x -124045-1225 x -24809
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 30,391,025, 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 | 30,391,025 | |
| -1 | -30,391,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,391,025.
Example:
1 x 30,391,025 = 30,391,025
and
-1 x -30,391,025 = 30,391,025
Notice both answers equal 30,391,025
With that explanation out of the way, let's continue. Next, we take the number 30,391,025 and divide it by 2:
30,391,025 ÷ 2 = 15,195,512.5
If the quotient is a whole number, then 2 and 15,195,512.5 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 | 30,391,025 | |
| -1 | -30,391,025 |
Now, we try dividing 30,391,025 by 3:
30,391,025 ÷ 3 = 10,130,341.6667
If the quotient is a whole number, then 3 and 10,130,341.6667 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 | 30,391,025 | |
| -1 | -30,391,025 |
Let's try dividing by 4:
30,391,025 ÷ 4 = 7,597,756.25
If the quotient is a whole number, then 4 and 7,597,756.25 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 | 30,391,025 | |
| -1 | 30,391,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 49 | 175 | 245 | 1,225 | 24,809 | 124,045 | 173,663 | 620,225 | 868,315 | 1,215,641 | 4,341,575 | 6,078,205 | 30,391,025 |
| -1 | -5 | -7 | -25 | -35 | -49 | -175 | -245 | -1,225 | -24,809 | -124,045 | -173,663 | -620,225 | -868,315 | -1,215,641 | -4,341,575 | -6,078,205 | -30,391,025 |
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