A:
Positive:
1 x 12122131119 x 6380069101 x 1200211181 x 669731349 x 3473391919 x 631693439 x 352496631 x 18281
Negative:
-1 x -121221311-19 x -6380069-101 x -1200211-181 x -669731-349 x -347339-1919 x -63169-3439 x -35249-6631 x -18281
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 121,221,311, 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 | 121,221,311 | |
| -1 | -121,221,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 121,221,311.
Example:
1 x 121,221,311 = 121,221,311
and
-1 x -121,221,311 = 121,221,311
Notice both answers equal 121,221,311
With that explanation out of the way, let's continue. Next, we take the number 121,221,311 and divide it by 2:
121,221,311 ÷ 2 = 60,610,655.5
If the quotient is a whole number, then 2 and 60,610,655.5 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 | 121,221,311 | |
| -1 | -121,221,311 |
Now, we try dividing 121,221,311 by 3:
121,221,311 ÷ 3 = 40,407,103.6667
If the quotient is a whole number, then 3 and 40,407,103.6667 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 | 121,221,311 | |
| -1 | -121,221,311 |
Let's try dividing by 4:
121,221,311 ÷ 4 = 30,305,327.75
If the quotient is a whole number, then 4 and 30,305,327.75 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 | 121,221,311 | |
| -1 | 121,221,311 |
If you did it right, you will end up with this table:
| 1 | 19 | 101 | 181 | 349 | 1,919 | 3,439 | 6,631 | 18,281 | 35,249 | 63,169 | 347,339 | 669,731 | 1,200,211 | 6,380,069 | 121,221,311 |
| -1 | -19 | -101 | -181 | -349 | -1,919 | -3,439 | -6,631 | -18,281 | -35,249 | -63,169 | -347,339 | -669,731 | -1,200,211 | -6,380,069 | -121,221,311 |
Here are some more numbers to try:
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