A:
Positive:
1 x 212316255 x 424632525 x 84926529 x 732125125 x 169853145 x 146425725 x 292853625 x 5857
Negative:
-1 x -21231625-5 x -4246325-25 x -849265-29 x -732125-125 x -169853-145 x -146425-725 x -29285-3625 x -5857
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 21,231,625, 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 | 21,231,625 | |
| -1 | -21,231,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,231,625.
Example:
1 x 21,231,625 = 21,231,625
and
-1 x -21,231,625 = 21,231,625
Notice both answers equal 21,231,625
With that explanation out of the way, let's continue. Next, we take the number 21,231,625 and divide it by 2:
21,231,625 ÷ 2 = 10,615,812.5
If the quotient is a whole number, then 2 and 10,615,812.5 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 | 21,231,625 | |
| -1 | -21,231,625 |
Now, we try dividing 21,231,625 by 3:
21,231,625 ÷ 3 = 7,077,208.3333
If the quotient is a whole number, then 3 and 7,077,208.3333 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 | 21,231,625 | |
| -1 | -21,231,625 |
Let's try dividing by 4:
21,231,625 ÷ 4 = 5,307,906.25
If the quotient is a whole number, then 4 and 5,307,906.25 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 | 21,231,625 | |
| -1 | 21,231,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 29 | 125 | 145 | 725 | 3,625 | 5,857 | 29,285 | 146,425 | 169,853 | 732,125 | 849,265 | 4,246,325 | 21,231,625 |
| -1 | -5 | -25 | -29 | -125 | -145 | -725 | -3,625 | -5,857 | -29,285 | -146,425 | -169,853 | -732,125 | -849,265 | -4,246,325 | -21,231,625 |
Here are some more numbers to try:
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