A:
Positive:
1 x 825051055 x 1650102131 x 2661455155 x 532291487 x 1694151093 x 754852435 x 338835465 x 15097
Negative:
-1 x -82505105-5 x -16501021-31 x -2661455-155 x -532291-487 x -169415-1093 x -75485-2435 x -33883-5465 x -15097
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 82,505,105, 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 | 82,505,105 | |
| -1 | -82,505,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 82,505,105.
Example:
1 x 82,505,105 = 82,505,105
and
-1 x -82,505,105 = 82,505,105
Notice both answers equal 82,505,105
With that explanation out of the way, let's continue. Next, we take the number 82,505,105 and divide it by 2:
82,505,105 ÷ 2 = 41,252,552.5
If the quotient is a whole number, then 2 and 41,252,552.5 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 | 82,505,105 | |
| -1 | -82,505,105 |
Now, we try dividing 82,505,105 by 3:
82,505,105 ÷ 3 = 27,501,701.6667
If the quotient is a whole number, then 3 and 27,501,701.6667 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 | 82,505,105 | |
| -1 | -82,505,105 |
Let's try dividing by 4:
82,505,105 ÷ 4 = 20,626,276.25
If the quotient is a whole number, then 4 and 20,626,276.25 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 | 82,505,105 | |
| -1 | 82,505,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 155 | 487 | 1,093 | 2,435 | 5,465 | 15,097 | 33,883 | 75,485 | 169,415 | 532,291 | 2,661,455 | 16,501,021 | 82,505,105 |
| -1 | -5 | -31 | -155 | -487 | -1,093 | -2,435 | -5,465 | -15,097 | -33,883 | -75,485 | -169,415 | -532,291 | -2,661,455 | -16,501,021 | -82,505,105 |
Here are some more numbers to try:
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