A:
Positive:
1 x 304123255 x 608246523 x 132227525 x 1216493115 x 264455227 x 133975233 x 130525575 x 528911135 x 267951165 x 261055221 x 58255359 x 5675
Negative:
-1 x -30412325-5 x -6082465-23 x -1322275-25 x -1216493-115 x -264455-227 x -133975-233 x -130525-575 x -52891-1135 x -26795-1165 x -26105-5221 x -5825-5359 x -5675
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 30,412,325, 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 | 30,412,325 | |
| -1 | -30,412,325 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,412,325.
Example:
1 x 30,412,325 = 30,412,325
and
-1 x -30,412,325 = 30,412,325
Notice both answers equal 30,412,325
With that explanation out of the way, let's continue. Next, we take the number 30,412,325 and divide it by 2:
30,412,325 ÷ 2 = 15,206,162.5
If the quotient is a whole number, then 2 and 15,206,162.5 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 | 30,412,325 | |
| -1 | -30,412,325 |
Now, we try dividing 30,412,325 by 3:
30,412,325 ÷ 3 = 10,137,441.6667
If the quotient is a whole number, then 3 and 10,137,441.6667 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 | 30,412,325 | |
| -1 | -30,412,325 |
Let's try dividing by 4:
30,412,325 ÷ 4 = 7,603,081.25
If the quotient is a whole number, then 4 and 7,603,081.25 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 | 30,412,325 | |
| -1 | 30,412,325 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 25 | 115 | 227 | 233 | 575 | 1,135 | 1,165 | 5,221 | 5,359 | 5,675 | 5,825 | 26,105 | 26,795 | 52,891 | 130,525 | 133,975 | 264,455 | 1,216,493 | 1,322,275 | 6,082,465 | 30,412,325 |
| -1 | -5 | -23 | -25 | -115 | -227 | -233 | -575 | -1,135 | -1,165 | -5,221 | -5,359 | -5,675 | -5,825 | -26,105 | -26,795 | -52,891 | -130,525 | -133,975 | -264,455 | -1,216,493 | -1,322,275 | -6,082,465 | -30,412,325 |
Here are some more numbers to try:
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