A:
Positive:
1 x 21144220911 x 1922201917 x 12437777181 x 1168189187 x 11307071991 x 1061993077 x 687176247 x 33847
Negative:
-1 x -211442209-11 x -19222019-17 x -12437777-181 x -1168189-187 x -1130707-1991 x -106199-3077 x -68717-6247 x -33847
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 211,442,209, 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 | 211,442,209 | |
| -1 | -211,442,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,442,209.
Example:
1 x 211,442,209 = 211,442,209
and
-1 x -211,442,209 = 211,442,209
Notice both answers equal 211,442,209
With that explanation out of the way, let's continue. Next, we take the number 211,442,209 and divide it by 2:
211,442,209 ÷ 2 = 105,721,104.5
If the quotient is a whole number, then 2 and 105,721,104.5 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 | 211,442,209 | |
| -1 | -211,442,209 |
Now, we try dividing 211,442,209 by 3:
211,442,209 ÷ 3 = 70,480,736.3333
If the quotient is a whole number, then 3 and 70,480,736.3333 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 | 211,442,209 | |
| -1 | -211,442,209 |
Let's try dividing by 4:
211,442,209 ÷ 4 = 52,860,552.25
If the quotient is a whole number, then 4 and 52,860,552.25 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 | 211,442,209 | |
| -1 | 211,442,209 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 181 | 187 | 1,991 | 3,077 | 6,247 | 33,847 | 68,717 | 106,199 | 1,130,707 | 1,168,189 | 12,437,777 | 19,222,019 | 211,442,209 |
| -1 | -11 | -17 | -181 | -187 | -1,991 | -3,077 | -6,247 | -33,847 | -68,717 | -106,199 | -1,130,707 | -1,168,189 | -12,437,777 | -19,222,019 | -211,442,209 |
Here are some more numbers to try:
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