A:
Positive:
1 x 8231266555 x 16462533113 x 6331743517 x 4841921565 x 1266348785 x 9683843221 x 37245551105 x 744911
Negative:
-1 x -823126655-5 x -164625331-13 x -63317435-17 x -48419215-65 x -12663487-85 x -9683843-221 x -3724555-1105 x -744911
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 823,126,655, 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 | 823,126,655 | |
| -1 | -823,126,655 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 823,126,655.
Example:
1 x 823,126,655 = 823,126,655
and
-1 x -823,126,655 = 823,126,655
Notice both answers equal 823,126,655
With that explanation out of the way, let's continue. Next, we take the number 823,126,655 and divide it by 2:
823,126,655 ÷ 2 = 411,563,327.5
If the quotient is a whole number, then 2 and 411,563,327.5 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 | 823,126,655 | |
| -1 | -823,126,655 |
Now, we try dividing 823,126,655 by 3:
823,126,655 ÷ 3 = 274,375,551.6667
If the quotient is a whole number, then 3 and 274,375,551.6667 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 | 823,126,655 | |
| -1 | -823,126,655 |
Let's try dividing by 4:
823,126,655 ÷ 4 = 205,781,663.75
If the quotient is a whole number, then 4 and 205,781,663.75 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 | 823,126,655 | |
| -1 | 823,126,655 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 17 | 65 | 85 | 221 | 1,105 | 744,911 | 3,724,555 | 9,683,843 | 12,663,487 | 48,419,215 | 63,317,435 | 164,625,331 | 823,126,655 |
| -1 | -5 | -13 | -17 | -65 | -85 | -221 | -1,105 | -744,911 | -3,724,555 | -9,683,843 | -12,663,487 | -48,419,215 | -63,317,435 | -164,625,331 | -823,126,655 |
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