A:
Positive:
1 x 2121123055 x 4242246137 x 5732765137 x 1548265185 x 1146553685 x 3096535069 x 418458369 x 25345
Negative:
-1 x -212112305-5 x -42422461-37 x -5732765-137 x -1548265-185 x -1146553-685 x -309653-5069 x -41845-8369 x -25345
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 212,112,305, 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 | 212,112,305 | |
| -1 | -212,112,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,112,305.
Example:
1 x 212,112,305 = 212,112,305
and
-1 x -212,112,305 = 212,112,305
Notice both answers equal 212,112,305
With that explanation out of the way, let's continue. Next, we take the number 212,112,305 and divide it by 2:
212,112,305 ÷ 2 = 106,056,152.5
If the quotient is a whole number, then 2 and 106,056,152.5 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 | 212,112,305 | |
| -1 | -212,112,305 |
Now, we try dividing 212,112,305 by 3:
212,112,305 ÷ 3 = 70,704,101.6667
If the quotient is a whole number, then 3 and 70,704,101.6667 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 | 212,112,305 | |
| -1 | -212,112,305 |
Let's try dividing by 4:
212,112,305 ÷ 4 = 53,028,076.25
If the quotient is a whole number, then 4 and 53,028,076.25 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 | 212,112,305 | |
| -1 | 212,112,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 37 | 137 | 185 | 685 | 5,069 | 8,369 | 25,345 | 41,845 | 309,653 | 1,146,553 | 1,548,265 | 5,732,765 | 42,422,461 | 212,112,305 |
| -1 | -5 | -37 | -137 | -185 | -685 | -5,069 | -8,369 | -25,345 | -41,845 | -309,653 | -1,146,553 | -1,548,265 | -5,732,765 | -42,422,461 | -212,112,305 |
Here are some more numbers to try:
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