A:
Positive:
1 x 2125521055 x 4251042117 x 1250306585 x 25006131453 x 1462851721 x 1235057265 x 292578605 x 24701
Negative:
-1 x -212552105-5 x -42510421-17 x -12503065-85 x -2500613-1453 x -146285-1721 x -123505-7265 x -29257-8605 x -24701
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 212,552,105, 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 | 212,552,105 | |
| -1 | -212,552,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,552,105.
Example:
1 x 212,552,105 = 212,552,105
and
-1 x -212,552,105 = 212,552,105
Notice both answers equal 212,552,105
With that explanation out of the way, let's continue. Next, we take the number 212,552,105 and divide it by 2:
212,552,105 ÷ 2 = 106,276,052.5
If the quotient is a whole number, then 2 and 106,276,052.5 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 | 212,552,105 | |
| -1 | -212,552,105 |
Now, we try dividing 212,552,105 by 3:
212,552,105 ÷ 3 = 70,850,701.6667
If the quotient is a whole number, then 3 and 70,850,701.6667 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 | 212,552,105 | |
| -1 | -212,552,105 |
Let's try dividing by 4:
212,552,105 ÷ 4 = 53,138,026.25
If the quotient is a whole number, then 4 and 53,138,026.25 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 | 212,552,105 | |
| -1 | 212,552,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 1,453 | 1,721 | 7,265 | 8,605 | 24,701 | 29,257 | 123,505 | 146,285 | 2,500,613 | 12,503,065 | 42,510,421 | 212,552,105 |
| -1 | -5 | -17 | -85 | -1,453 | -1,721 | -7,265 | -8,605 | -24,701 | -29,257 | -123,505 | -146,285 | -2,500,613 | -12,503,065 | -42,510,421 | -212,552,105 |
Here are some more numbers to try:
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