A:
Positive:
1 x 4120066255 x 8240132525 x 1648026529 x 14207125125 x 3296053145 x 2841425725 x 5682853625 x 113657
Negative:
-1 x -412006625-5 x -82401325-25 x -16480265-29 x -14207125-125 x -3296053-145 x -2841425-725 x -568285-3625 x -113657
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 412,006,625, 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 | 412,006,625 | |
| -1 | -412,006,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,006,625.
Example:
1 x 412,006,625 = 412,006,625
and
-1 x -412,006,625 = 412,006,625
Notice both answers equal 412,006,625
With that explanation out of the way, let's continue. Next, we take the number 412,006,625 and divide it by 2:
412,006,625 ÷ 2 = 206,003,312.5
If the quotient is a whole number, then 2 and 206,003,312.5 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 | 412,006,625 | |
| -1 | -412,006,625 |
Now, we try dividing 412,006,625 by 3:
412,006,625 ÷ 3 = 137,335,541.6667
If the quotient is a whole number, then 3 and 137,335,541.6667 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 | 412,006,625 | |
| -1 | -412,006,625 |
Let's try dividing by 4:
412,006,625 ÷ 4 = 103,001,656.25
If the quotient is a whole number, then 4 and 103,001,656.25 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 | 412,006,625 | |
| -1 | 412,006,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 29 | 125 | 145 | 725 | 3,625 | 113,657 | 568,285 | 2,841,425 | 3,296,053 | 14,207,125 | 16,480,265 | 82,401,325 | 412,006,625 |
| -1 | -5 | -25 | -29 | -125 | -145 | -725 | -3,625 | -113,657 | -568,285 | -2,841,425 | -3,296,053 | -14,207,125 | -16,480,265 | -82,401,325 | -412,006,625 |
Here are some more numbers to try:
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