A:
Positive:
1 x 122312055 x 24462417 x 174731531 x 39455535 x 349463155 x 78911217 x 563651085 x 11273
Negative:
-1 x -12231205-5 x -2446241-7 x -1747315-31 x -394555-35 x -349463-155 x -78911-217 x -56365-1085 x -11273
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 12,231,205, 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 | 12,231,205 | |
| -1 | -12,231,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,231,205.
Example:
1 x 12,231,205 = 12,231,205
and
-1 x -12,231,205 = 12,231,205
Notice both answers equal 12,231,205
With that explanation out of the way, let's continue. Next, we take the number 12,231,205 and divide it by 2:
12,231,205 ÷ 2 = 6,115,602.5
If the quotient is a whole number, then 2 and 6,115,602.5 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 | 12,231,205 | |
| -1 | -12,231,205 |
Now, we try dividing 12,231,205 by 3:
12,231,205 ÷ 3 = 4,077,068.3333
If the quotient is a whole number, then 3 and 4,077,068.3333 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 | 12,231,205 | |
| -1 | -12,231,205 |
Let's try dividing by 4:
12,231,205 ÷ 4 = 3,057,801.25
If the quotient is a whole number, then 4 and 3,057,801.25 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 | 12,231,205 | |
| -1 | 12,231,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 31 | 35 | 155 | 217 | 1,085 | 11,273 | 56,365 | 78,911 | 349,463 | 394,555 | 1,747,315 | 2,446,241 | 12,231,205 |
| -1 | -5 | -7 | -31 | -35 | -155 | -217 | -1,085 | -11,273 | -56,365 | -78,911 | -349,463 | -394,555 | -1,747,315 | -2,446,241 | -12,231,205 |
Here are some more numbers to try:
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