A:
Positive:
1 x 2124441255 x 4248882525 x 8497765125 x 1699553139 x 1528375695 x 3056753475 x 6113512227 x 17375
Negative:
-1 x -212444125-5 x -42488825-25 x -8497765-125 x -1699553-139 x -1528375-695 x -305675-3475 x -61135-12227 x -17375
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 212,444,125, 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 | 212,444,125 | |
| -1 | -212,444,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,444,125.
Example:
1 x 212,444,125 = 212,444,125
and
-1 x -212,444,125 = 212,444,125
Notice both answers equal 212,444,125
With that explanation out of the way, let's continue. Next, we take the number 212,444,125 and divide it by 2:
212,444,125 ÷ 2 = 106,222,062.5
If the quotient is a whole number, then 2 and 106,222,062.5 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 | 212,444,125 | |
| -1 | -212,444,125 |
Now, we try dividing 212,444,125 by 3:
212,444,125 ÷ 3 = 70,814,708.3333
If the quotient is a whole number, then 3 and 70,814,708.3333 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 | 212,444,125 | |
| -1 | -212,444,125 |
Let's try dividing by 4:
212,444,125 ÷ 4 = 53,111,031.25
If the quotient is a whole number, then 4 and 53,111,031.25 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 | 212,444,125 | |
| -1 | 212,444,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 139 | 695 | 3,475 | 12,227 | 17,375 | 61,135 | 305,675 | 1,528,375 | 1,699,553 | 8,497,765 | 42,488,825 | 212,444,125 |
| -1 | -5 | -25 | -125 | -139 | -695 | -3,475 | -12,227 | -17,375 | -61,135 | -305,675 | -1,528,375 | -1,699,553 | -8,497,765 | -42,488,825 | -212,444,125 |
Here are some more numbers to try:
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