A:
Positive:
1 x 1323112217 x 1890160317 x 778301349 x 2700229119 x 1111859343 x 385747833 x 1588375831 x 22691
Negative:
-1 x -132311221-7 x -18901603-17 x -7783013-49 x -2700229-119 x -1111859-343 x -385747-833 x -158837-5831 x -22691
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 132,311,221, 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 | 132,311,221 | |
| -1 | -132,311,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 132,311,221.
Example:
1 x 132,311,221 = 132,311,221
and
-1 x -132,311,221 = 132,311,221
Notice both answers equal 132,311,221
With that explanation out of the way, let's continue. Next, we take the number 132,311,221 and divide it by 2:
132,311,221 ÷ 2 = 66,155,610.5
If the quotient is a whole number, then 2 and 66,155,610.5 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 | 132,311,221 | |
| -1 | -132,311,221 |
Now, we try dividing 132,311,221 by 3:
132,311,221 ÷ 3 = 44,103,740.3333
If the quotient is a whole number, then 3 and 44,103,740.3333 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 | 132,311,221 | |
| -1 | -132,311,221 |
Let's try dividing by 4:
132,311,221 ÷ 4 = 33,077,805.25
If the quotient is a whole number, then 4 and 33,077,805.25 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 | 132,311,221 | |
| -1 | 132,311,221 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 49 | 119 | 343 | 833 | 5,831 | 22,691 | 158,837 | 385,747 | 1,111,859 | 2,700,229 | 7,783,013 | 18,901,603 | 132,311,221 |
| -1 | -7 | -17 | -49 | -119 | -343 | -833 | -5,831 | -22,691 | -158,837 | -385,747 | -1,111,859 | -2,700,229 | -7,783,013 | -18,901,603 | -132,311,221 |
Here are some more numbers to try:
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