A:
Positive:
1 x 21102200911 x 1918381929 x 7276621271 x 778679319 x 6615112441 x 864492981 x 707897859 x 26851
Negative:
-1 x -211022009-11 x -19183819-29 x -7276621-271 x -778679-319 x -661511-2441 x -86449-2981 x -70789-7859 x -26851
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 211,022,009, 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 | 211,022,009 | |
| -1 | -211,022,009 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,022,009.
Example:
1 x 211,022,009 = 211,022,009
and
-1 x -211,022,009 = 211,022,009
Notice both answers equal 211,022,009
With that explanation out of the way, let's continue. Next, we take the number 211,022,009 and divide it by 2:
211,022,009 ÷ 2 = 105,511,004.5
If the quotient is a whole number, then 2 and 105,511,004.5 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 | 211,022,009 | |
| -1 | -211,022,009 |
Now, we try dividing 211,022,009 by 3:
211,022,009 ÷ 3 = 70,340,669.6667
If the quotient is a whole number, then 3 and 70,340,669.6667 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 | 211,022,009 | |
| -1 | -211,022,009 |
Let's try dividing by 4:
211,022,009 ÷ 4 = 52,755,502.25
If the quotient is a whole number, then 4 and 52,755,502.25 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 | 211,022,009 | |
| -1 | 211,022,009 |
If you did it right, you will end up with this table:
| 1 | 11 | 29 | 271 | 319 | 2,441 | 2,981 | 7,859 | 26,851 | 70,789 | 86,449 | 661,511 | 778,679 | 7,276,621 | 19,183,819 | 211,022,009 |
| -1 | -11 | -29 | -271 | -319 | -2,441 | -2,981 | -7,859 | -26,851 | -70,789 | -86,449 | -661,511 | -778,679 | -7,276,621 | -19,183,819 | -211,022,009 |
Here are some more numbers to try:
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