A:
Positive:
1 x 123212055 x 246424113 x 94778565 x 189557131 x 94055655 x 188111447 x 85151703 x 7235
Negative:
-1 x -12321205-5 x -2464241-13 x -947785-65 x -189557-131 x -94055-655 x -18811-1447 x -8515-1703 x -7235
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 12,321,205, 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 | 12,321,205 | |
| -1 | -12,321,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,321,205.
Example:
1 x 12,321,205 = 12,321,205
and
-1 x -12,321,205 = 12,321,205
Notice both answers equal 12,321,205
With that explanation out of the way, let's continue. Next, we take the number 12,321,205 and divide it by 2:
12,321,205 ÷ 2 = 6,160,602.5
If the quotient is a whole number, then 2 and 6,160,602.5 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 | 12,321,205 | |
| -1 | -12,321,205 |
Now, we try dividing 12,321,205 by 3:
12,321,205 ÷ 3 = 4,107,068.3333
If the quotient is a whole number, then 3 and 4,107,068.3333 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 | 12,321,205 | |
| -1 | -12,321,205 |
Let's try dividing by 4:
12,321,205 ÷ 4 = 3,080,301.25
If the quotient is a whole number, then 4 and 3,080,301.25 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 | 12,321,205 | |
| -1 | 12,321,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 131 | 655 | 1,447 | 1,703 | 7,235 | 8,515 | 18,811 | 94,055 | 189,557 | 947,785 | 2,464,241 | 12,321,205 |
| -1 | -5 | -13 | -65 | -131 | -655 | -1,447 | -1,703 | -7,235 | -8,515 | -18,811 | -94,055 | -189,557 | -947,785 | -2,464,241 | -12,321,205 |
Here are some more numbers to try:
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