A:
Positive:
1 x 2122021255 x 4244042525 x 8488085125 x 1697617239 x 8878751195 x 1775755975 x 355157103 x 29875
Negative:
-1 x -212202125-5 x -42440425-25 x -8488085-125 x -1697617-239 x -887875-1195 x -177575-5975 x -35515-7103 x -29875
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 212,202,125, 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 | 212,202,125 | |
| -1 | -212,202,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,202,125.
Example:
1 x 212,202,125 = 212,202,125
and
-1 x -212,202,125 = 212,202,125
Notice both answers equal 212,202,125
With that explanation out of the way, let's continue. Next, we take the number 212,202,125 and divide it by 2:
212,202,125 ÷ 2 = 106,101,062.5
If the quotient is a whole number, then 2 and 106,101,062.5 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 | 212,202,125 | |
| -1 | -212,202,125 |
Now, we try dividing 212,202,125 by 3:
212,202,125 ÷ 3 = 70,734,041.6667
If the quotient is a whole number, then 3 and 70,734,041.6667 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 | 212,202,125 | |
| -1 | -212,202,125 |
Let's try dividing by 4:
212,202,125 ÷ 4 = 53,050,531.25
If the quotient is a whole number, then 4 and 53,050,531.25 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 | 212,202,125 | |
| -1 | 212,202,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 239 | 1,195 | 5,975 | 7,103 | 29,875 | 35,515 | 177,575 | 887,875 | 1,697,617 | 8,488,085 | 42,440,425 | 212,202,125 |
| -1 | -5 | -25 | -125 | -239 | -1,195 | -5,975 | -7,103 | -29,875 | -35,515 | -177,575 | -887,875 | -1,697,617 | -8,488,085 | -42,440,425 | -212,202,125 |
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