A:
Positive:
1 x 68851773111 x 6259252117 x 40501043187 x 36819131471 x 4680612503 x 27507716181 x 4255125007 x 27533
Negative:
-1 x -688517731-11 x -62592521-17 x -40501043-187 x -3681913-1471 x -468061-2503 x -275077-16181 x -42551-25007 x -27533
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 688,517,731, 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 | 688,517,731 | |
| -1 | -688,517,731 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 688,517,731.
Example:
1 x 688,517,731 = 688,517,731
and
-1 x -688,517,731 = 688,517,731
Notice both answers equal 688,517,731
With that explanation out of the way, let's continue. Next, we take the number 688,517,731 and divide it by 2:
688,517,731 ÷ 2 = 344,258,865.5
If the quotient is a whole number, then 2 and 344,258,865.5 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 | 688,517,731 | |
| -1 | -688,517,731 |
Now, we try dividing 688,517,731 by 3:
688,517,731 ÷ 3 = 229,505,910.3333
If the quotient is a whole number, then 3 and 229,505,910.3333 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 | 688,517,731 | |
| -1 | -688,517,731 |
Let's try dividing by 4:
688,517,731 ÷ 4 = 172,129,432.75
If the quotient is a whole number, then 4 and 172,129,432.75 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 | 688,517,731 | |
| -1 | 688,517,731 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 187 | 1,471 | 2,503 | 16,181 | 25,007 | 27,533 | 42,551 | 275,077 | 468,061 | 3,681,913 | 40,501,043 | 62,592,521 | 688,517,731 |
| -1 | -11 | -17 | -187 | -1,471 | -2,503 | -16,181 | -25,007 | -27,533 | -42,551 | -275,077 | -468,061 | -3,681,913 | -40,501,043 | -62,592,521 | -688,517,731 |
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