A:
Positive:
1 x 4108342155 x 8216684311 x 3734856555 x 7469713359 x 11443851795 x 2288773949 x 10403519745 x 20807
Negative:
-1 x -410834215-5 x -82166843-11 x -37348565-55 x -7469713-359 x -1144385-1795 x -228877-3949 x -104035-19745 x -20807
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 410,834,215, 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 | 410,834,215 | |
| -1 | -410,834,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 410,834,215.
Example:
1 x 410,834,215 = 410,834,215
and
-1 x -410,834,215 = 410,834,215
Notice both answers equal 410,834,215
With that explanation out of the way, let's continue. Next, we take the number 410,834,215 and divide it by 2:
410,834,215 ÷ 2 = 205,417,107.5
If the quotient is a whole number, then 2 and 205,417,107.5 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 | 410,834,215 | |
| -1 | -410,834,215 |
Now, we try dividing 410,834,215 by 3:
410,834,215 ÷ 3 = 136,944,738.3333
If the quotient is a whole number, then 3 and 136,944,738.3333 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 | 410,834,215 | |
| -1 | -410,834,215 |
Let's try dividing by 4:
410,834,215 ÷ 4 = 102,708,553.75
If the quotient is a whole number, then 4 and 102,708,553.75 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 | 410,834,215 | |
| -1 | 410,834,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 359 | 1,795 | 3,949 | 19,745 | 20,807 | 104,035 | 228,877 | 1,144,385 | 7,469,713 | 37,348,565 | 82,166,843 | 410,834,215 |
| -1 | -5 | -11 | -55 | -359 | -1,795 | -3,949 | -19,745 | -20,807 | -104,035 | -228,877 | -1,144,385 | -7,469,713 | -37,348,565 | -82,166,843 | -410,834,215 |
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