A:
Positive:
1 x 252120055 x 50424017 x 360171513 x 193938535 x 72034365 x 38787791 x 277055455 x 55411
Negative:
-1 x -25212005-5 x -5042401-7 x -3601715-13 x -1939385-35 x -720343-65 x -387877-91 x -277055-455 x -55411
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 25,212,005, 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 | 25,212,005 | |
| -1 | -25,212,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,212,005.
Example:
1 x 25,212,005 = 25,212,005
and
-1 x -25,212,005 = 25,212,005
Notice both answers equal 25,212,005
With that explanation out of the way, let's continue. Next, we take the number 25,212,005 and divide it by 2:
25,212,005 ÷ 2 = 12,606,002.5
If the quotient is a whole number, then 2 and 12,606,002.5 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 | 25,212,005 | |
| -1 | -25,212,005 |
Now, we try dividing 25,212,005 by 3:
25,212,005 ÷ 3 = 8,404,001.6667
If the quotient is a whole number, then 3 and 8,404,001.6667 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 | 25,212,005 | |
| -1 | -25,212,005 |
Let's try dividing by 4:
25,212,005 ÷ 4 = 6,303,001.25
If the quotient is a whole number, then 4 and 6,303,001.25 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 | 25,212,005 | |
| -1 | 25,212,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 35 | 65 | 91 | 455 | 55,411 | 277,055 | 387,877 | 720,343 | 1,939,385 | 3,601,715 | 5,042,401 | 25,212,005 |
| -1 | -5 | -7 | -13 | -35 | -65 | -91 | -455 | -55,411 | -277,055 | -387,877 | -720,343 | -1,939,385 | -3,601,715 | -5,042,401 | -25,212,005 |
Here are some more numbers to try:
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