A:
Positive:
1 x 41224311711 x 3747664713 x 31711009143 x 2882819991 x 4159872909 x 14171310901 x 3781712883 x 31999
Negative:
-1 x -412243117-11 x -37476647-13 x -31711009-143 x -2882819-991 x -415987-2909 x -141713-10901 x -37817-12883 x -31999
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 412,243,117, 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 | 412,243,117 | |
| -1 | -412,243,117 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,243,117.
Example:
1 x 412,243,117 = 412,243,117
and
-1 x -412,243,117 = 412,243,117
Notice both answers equal 412,243,117
With that explanation out of the way, let's continue. Next, we take the number 412,243,117 and divide it by 2:
412,243,117 ÷ 2 = 206,121,558.5
If the quotient is a whole number, then 2 and 206,121,558.5 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 | 412,243,117 | |
| -1 | -412,243,117 |
Now, we try dividing 412,243,117 by 3:
412,243,117 ÷ 3 = 137,414,372.3333
If the quotient is a whole number, then 3 and 137,414,372.3333 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 | 412,243,117 | |
| -1 | -412,243,117 |
Let's try dividing by 4:
412,243,117 ÷ 4 = 103,060,779.25
If the quotient is a whole number, then 4 and 103,060,779.25 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 | 412,243,117 | |
| -1 | 412,243,117 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 143 | 991 | 2,909 | 10,901 | 12,883 | 31,999 | 37,817 | 141,713 | 415,987 | 2,882,819 | 31,711,009 | 37,476,647 | 412,243,117 |
| -1 | -11 | -13 | -143 | -991 | -2,909 | -10,901 | -12,883 | -31,999 | -37,817 | -141,713 | -415,987 | -2,882,819 | -31,711,009 | -37,476,647 | -412,243,117 |
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