A:
Positive:
1 x 2112402117 x 3017717313 x 1624924723 x 918435791 x 2321321161 x 1312051299 x 7064892093 x 100927
Negative:
-1 x -211240211-7 x -30177173-13 x -16249247-23 x -9184357-91 x -2321321-161 x -1312051-299 x -706489-2093 x -100927
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 211,240,211, 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 | 211,240,211 | |
| -1 | -211,240,211 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,240,211.
Example:
1 x 211,240,211 = 211,240,211
and
-1 x -211,240,211 = 211,240,211
Notice both answers equal 211,240,211
With that explanation out of the way, let's continue. Next, we take the number 211,240,211 and divide it by 2:
211,240,211 ÷ 2 = 105,620,105.5
If the quotient is a whole number, then 2 and 105,620,105.5 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 | 211,240,211 | |
| -1 | -211,240,211 |
Now, we try dividing 211,240,211 by 3:
211,240,211 ÷ 3 = 70,413,403.6667
If the quotient is a whole number, then 3 and 70,413,403.6667 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 | 211,240,211 | |
| -1 | -211,240,211 |
Let's try dividing by 4:
211,240,211 ÷ 4 = 52,810,052.75
If the quotient is a whole number, then 4 and 52,810,052.75 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 | 211,240,211 | |
| -1 | 211,240,211 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 23 | 91 | 161 | 299 | 2,093 | 100,927 | 706,489 | 1,312,051 | 2,321,321 | 9,184,357 | 16,249,247 | 30,177,173 | 211,240,211 |
| -1 | -7 | -13 | -23 | -91 | -161 | -299 | -2,093 | -100,927 | -706,489 | -1,312,051 | -2,321,321 | -9,184,357 | -16,249,247 | -30,177,173 | -211,240,211 |
Here are some more numbers to try:
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