A:
Positive:
1 x 1041142137 x 1487345931 x 3358523199 x 523187217 x 4797891393 x 747412411 x 431836169 x 16877
Negative:
-1 x -104114213-7 x -14873459-31 x -3358523-199 x -523187-217 x -479789-1393 x -74741-2411 x -43183-6169 x -16877
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 104,114,213, 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 | 104,114,213 | |
| -1 | -104,114,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 104,114,213.
Example:
1 x 104,114,213 = 104,114,213
and
-1 x -104,114,213 = 104,114,213
Notice both answers equal 104,114,213
With that explanation out of the way, let's continue. Next, we take the number 104,114,213 and divide it by 2:
104,114,213 ÷ 2 = 52,057,106.5
If the quotient is a whole number, then 2 and 52,057,106.5 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 | 104,114,213 | |
| -1 | -104,114,213 |
Now, we try dividing 104,114,213 by 3:
104,114,213 ÷ 3 = 34,704,737.6667
If the quotient is a whole number, then 3 and 34,704,737.6667 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 | 104,114,213 | |
| -1 | -104,114,213 |
Let's try dividing by 4:
104,114,213 ÷ 4 = 26,028,553.25
If the quotient is a whole number, then 4 and 26,028,553.25 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 | 104,114,213 | |
| -1 | 104,114,213 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 199 | 217 | 1,393 | 2,411 | 6,169 | 16,877 | 43,183 | 74,741 | 479,789 | 523,187 | 3,358,523 | 14,873,459 | 104,114,213 |
| -1 | -7 | -31 | -199 | -217 | -1,393 | -2,411 | -6,169 | -16,877 | -43,183 | -74,741 | -479,789 | -523,187 | -3,358,523 | -14,873,459 | -104,114,213 |
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