A:
Positive:
1 x 21244306717 x 1249665129 x 732562373 x 2910179493 x 4309191241 x 1711872117 x 1003515903 x 35989
Negative:
-1 x -212443067-17 x -12496651-29 x -7325623-73 x -2910179-493 x -430919-1241 x -171187-2117 x -100351-5903 x -35989
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 212,443,067, 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 | 212,443,067 | |
| -1 | -212,443,067 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,443,067.
Example:
1 x 212,443,067 = 212,443,067
and
-1 x -212,443,067 = 212,443,067
Notice both answers equal 212,443,067
With that explanation out of the way, let's continue. Next, we take the number 212,443,067 and divide it by 2:
212,443,067 ÷ 2 = 106,221,533.5
If the quotient is a whole number, then 2 and 106,221,533.5 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 | 212,443,067 | |
| -1 | -212,443,067 |
Now, we try dividing 212,443,067 by 3:
212,443,067 ÷ 3 = 70,814,355.6667
If the quotient is a whole number, then 3 and 70,814,355.6667 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 | 212,443,067 | |
| -1 | -212,443,067 |
Let's try dividing by 4:
212,443,067 ÷ 4 = 53,110,766.75
If the quotient is a whole number, then 4 and 53,110,766.75 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 | 212,443,067 | |
| -1 | 212,443,067 |
If you did it right, you will end up with this table:
| 1 | 17 | 29 | 73 | 493 | 1,241 | 2,117 | 5,903 | 35,989 | 100,351 | 171,187 | 430,919 | 2,910,179 | 7,325,623 | 12,496,651 | 212,443,067 |
| -1 | -17 | -29 | -73 | -493 | -1,241 | -2,117 | -5,903 | -35,989 | -100,351 | -171,187 | -430,919 | -2,910,179 | -7,325,623 | -12,496,651 | -212,443,067 |
Here are some more numbers to try:
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