A:
Positive:
1 x 21224221711 x 1929474719 x 1117064371 x 2989327209 x 1015513781 x 2717571349 x 15733314303 x 14839
Negative:
-1 x -212242217-11 x -19294747-19 x -11170643-71 x -2989327-209 x -1015513-781 x -271757-1349 x -157333-14303 x -14839
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 212,242,217, 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 | 212,242,217 | |
| -1 | -212,242,217 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,242,217.
Example:
1 x 212,242,217 = 212,242,217
and
-1 x -212,242,217 = 212,242,217
Notice both answers equal 212,242,217
With that explanation out of the way, let's continue. Next, we take the number 212,242,217 and divide it by 2:
212,242,217 ÷ 2 = 106,121,108.5
If the quotient is a whole number, then 2 and 106,121,108.5 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 | 212,242,217 | |
| -1 | -212,242,217 |
Now, we try dividing 212,242,217 by 3:
212,242,217 ÷ 3 = 70,747,405.6667
If the quotient is a whole number, then 3 and 70,747,405.6667 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 | 212,242,217 | |
| -1 | -212,242,217 |
Let's try dividing by 4:
212,242,217 ÷ 4 = 53,060,554.25
If the quotient is a whole number, then 4 and 53,060,554.25 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 | 212,242,217 | |
| -1 | 212,242,217 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 71 | 209 | 781 | 1,349 | 14,303 | 14,839 | 157,333 | 271,757 | 1,015,513 | 2,989,327 | 11,170,643 | 19,294,747 | 212,242,217 |
| -1 | -11 | -19 | -71 | -209 | -781 | -1,349 | -14,303 | -14,839 | -157,333 | -271,757 | -1,015,513 | -2,989,327 | -11,170,643 | -19,294,747 | -212,242,217 |
Here are some more numbers to try:
Try the factor calculator