A:
Positive:
1 x 41202110313 x 3169393123 x 1791396179 x 5215457299 x 13779971027 x 4011891817 x 22675917443 x 23621
Negative:
-1 x -412021103-13 x -31693931-23 x -17913961-79 x -5215457-299 x -1377997-1027 x -401189-1817 x -226759-17443 x -23621
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 412,021,103, 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 | 412,021,103 | |
| -1 | -412,021,103 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,021,103.
Example:
1 x 412,021,103 = 412,021,103
and
-1 x -412,021,103 = 412,021,103
Notice both answers equal 412,021,103
With that explanation out of the way, let's continue. Next, we take the number 412,021,103 and divide it by 2:
412,021,103 ÷ 2 = 206,010,551.5
If the quotient is a whole number, then 2 and 206,010,551.5 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 | 412,021,103 | |
| -1 | -412,021,103 |
Now, we try dividing 412,021,103 by 3:
412,021,103 ÷ 3 = 137,340,367.6667
If the quotient is a whole number, then 3 and 137,340,367.6667 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 | 412,021,103 | |
| -1 | -412,021,103 |
Let's try dividing by 4:
412,021,103 ÷ 4 = 103,005,275.75
If the quotient is a whole number, then 4 and 103,005,275.75 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 | 412,021,103 | |
| -1 | 412,021,103 |
If you did it right, you will end up with this table:
| 1 | 13 | 23 | 79 | 299 | 1,027 | 1,817 | 17,443 | 23,621 | 226,759 | 401,189 | 1,377,997 | 5,215,457 | 17,913,961 | 31,693,931 | 412,021,103 |
| -1 | -13 | -23 | -79 | -299 | -1,027 | -1,817 | -17,443 | -23,621 | -226,759 | -401,189 | -1,377,997 | -5,215,457 | -17,913,961 | -31,693,931 | -412,021,103 |
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