A:
Positive:
1 x 300013255 x 600026525 x 120005361 x 491825103 x 291275191 x 157075305 x 98365515 x 58255955 x 314151525 x 196732575 x 116514775 x 6283
Negative:
-1 x -30001325-5 x -6000265-25 x -1200053-61 x -491825-103 x -291275-191 x -157075-305 x -98365-515 x -58255-955 x -31415-1525 x -19673-2575 x -11651-4775 x -6283
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 30,001,325, 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 | 30,001,325 | |
| -1 | -30,001,325 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,001,325.
Example:
1 x 30,001,325 = 30,001,325
and
-1 x -30,001,325 = 30,001,325
Notice both answers equal 30,001,325
With that explanation out of the way, let's continue. Next, we take the number 30,001,325 and divide it by 2:
30,001,325 ÷ 2 = 15,000,662.5
If the quotient is a whole number, then 2 and 15,000,662.5 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 | 30,001,325 | |
| -1 | -30,001,325 |
Now, we try dividing 30,001,325 by 3:
30,001,325 ÷ 3 = 10,000,441.6667
If the quotient is a whole number, then 3 and 10,000,441.6667 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 | 30,001,325 | |
| -1 | -30,001,325 |
Let's try dividing by 4:
30,001,325 ÷ 4 = 7,500,331.25
If the quotient is a whole number, then 4 and 7,500,331.25 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 | 30,001,325 | |
| -1 | 30,001,325 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 61 | 103 | 191 | 305 | 515 | 955 | 1,525 | 2,575 | 4,775 | 6,283 | 11,651 | 19,673 | 31,415 | 58,255 | 98,365 | 157,075 | 291,275 | 491,825 | 1,200,053 | 6,000,265 | 30,001,325 |
| -1 | -5 | -25 | -61 | -103 | -191 | -305 | -515 | -955 | -1,525 | -2,575 | -4,775 | -6,283 | -11,651 | -19,673 | -31,415 | -58,255 | -98,365 | -157,075 | -291,275 | -491,825 | -1,200,053 | -6,000,265 | -30,001,325 |
Here are some more numbers to try:
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