A:
Positive:
1 x 8224051255 x 16448102525 x 32896205101 x 8142625125 x 6579241505 x 16285252525 x 32570512625 x 65141
Negative:
-1 x -822405125-5 x -164481025-25 x -32896205-101 x -8142625-125 x -6579241-505 x -1628525-2525 x -325705-12625 x -65141
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 822,405,125, 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 | 822,405,125 | |
| -1 | -822,405,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 822,405,125.
Example:
1 x 822,405,125 = 822,405,125
and
-1 x -822,405,125 = 822,405,125
Notice both answers equal 822,405,125
With that explanation out of the way, let's continue. Next, we take the number 822,405,125 and divide it by 2:
822,405,125 ÷ 2 = 411,202,562.5
If the quotient is a whole number, then 2 and 411,202,562.5 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 | 822,405,125 | |
| -1 | -822,405,125 |
Now, we try dividing 822,405,125 by 3:
822,405,125 ÷ 3 = 274,135,041.6667
If the quotient is a whole number, then 3 and 274,135,041.6667 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 | 822,405,125 | |
| -1 | -822,405,125 |
Let's try dividing by 4:
822,405,125 ÷ 4 = 205,601,281.25
If the quotient is a whole number, then 4 and 205,601,281.25 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 | 822,405,125 | |
| -1 | 822,405,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 101 | 125 | 505 | 2,525 | 12,625 | 65,141 | 325,705 | 1,628,525 | 6,579,241 | 8,142,625 | 32,896,205 | 164,481,025 | 822,405,125 |
| -1 | -5 | -25 | -101 | -125 | -505 | -2,525 | -12,625 | -65,141 | -325,705 | -1,628,525 | -6,579,241 | -8,142,625 | -32,896,205 | -164,481,025 | -822,405,125 |
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