A:
Positive:
1 x 6884300297 x 9834714737 x 18606217259 x 26580311097 x 6275572423 x 2841237679 x 8965116961 x 40589
Negative:
-1 x -688430029-7 x -98347147-37 x -18606217-259 x -2658031-1097 x -627557-2423 x -284123-7679 x -89651-16961 x -40589
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 688,430,029, 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 | 688,430,029 | |
| -1 | -688,430,029 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 688,430,029.
Example:
1 x 688,430,029 = 688,430,029
and
-1 x -688,430,029 = 688,430,029
Notice both answers equal 688,430,029
With that explanation out of the way, let's continue. Next, we take the number 688,430,029 and divide it by 2:
688,430,029 ÷ 2 = 344,215,014.5
If the quotient is a whole number, then 2 and 344,215,014.5 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 | 688,430,029 | |
| -1 | -688,430,029 |
Now, we try dividing 688,430,029 by 3:
688,430,029 ÷ 3 = 229,476,676.3333
If the quotient is a whole number, then 3 and 229,476,676.3333 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 | 688,430,029 | |
| -1 | -688,430,029 |
Let's try dividing by 4:
688,430,029 ÷ 4 = 172,107,507.25
If the quotient is a whole number, then 4 and 172,107,507.25 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 | 688,430,029 | |
| -1 | 688,430,029 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 259 | 1,097 | 2,423 | 7,679 | 16,961 | 40,589 | 89,651 | 284,123 | 627,557 | 2,658,031 | 18,606,217 | 98,347,147 | 688,430,029 |
| -1 | -7 | -37 | -259 | -1,097 | -2,423 | -7,679 | -16,961 | -40,589 | -89,651 | -284,123 | -627,557 | -2,658,031 | -18,606,217 | -98,347,147 | -688,430,029 |
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