A:
Positive:
1 x 821316797 x 1173309731 x 2649409217 x 378487311 x 2640891217 x 674872177 x 377278519 x 9641
Negative:
-1 x -82131679-7 x -11733097-31 x -2649409-217 x -378487-311 x -264089-1217 x -67487-2177 x -37727-8519 x -9641
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 82,131,679, 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 | 82,131,679 | |
| -1 | -82,131,679 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 82,131,679.
Example:
1 x 82,131,679 = 82,131,679
and
-1 x -82,131,679 = 82,131,679
Notice both answers equal 82,131,679
With that explanation out of the way, let's continue. Next, we take the number 82,131,679 and divide it by 2:
82,131,679 ÷ 2 = 41,065,839.5
If the quotient is a whole number, then 2 and 41,065,839.5 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 | 82,131,679 | |
| -1 | -82,131,679 |
Now, we try dividing 82,131,679 by 3:
82,131,679 ÷ 3 = 27,377,226.3333
If the quotient is a whole number, then 3 and 27,377,226.3333 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 | 82,131,679 | |
| -1 | -82,131,679 |
Let's try dividing by 4:
82,131,679 ÷ 4 = 20,532,919.75
If the quotient is a whole number, then 4 and 20,532,919.75 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 | 82,131,679 | |
| -1 | 82,131,679 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 217 | 311 | 1,217 | 2,177 | 8,519 | 9,641 | 37,727 | 67,487 | 264,089 | 378,487 | 2,649,409 | 11,733,097 | 82,131,679 |
| -1 | -7 | -31 | -217 | -311 | -1,217 | -2,177 | -8,519 | -9,641 | -37,727 | -67,487 | -264,089 | -378,487 | -2,649,409 | -11,733,097 | -82,131,679 |
Here are some more numbers to try:
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