A:
Positive:
1 x 68707124343 x 1597840161 x 11263463163 x 42151611607 x 4275492623 x 2619417009 x 980279943 x 69101
Negative:
-1 x -687071243-43 x -15978401-61 x -11263463-163 x -4215161-1607 x -427549-2623 x -261941-7009 x -98027-9943 x -69101
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 687,071,243, 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 | 687,071,243 | |
| -1 | -687,071,243 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 687,071,243.
Example:
1 x 687,071,243 = 687,071,243
and
-1 x -687,071,243 = 687,071,243
Notice both answers equal 687,071,243
With that explanation out of the way, let's continue. Next, we take the number 687,071,243 and divide it by 2:
687,071,243 ÷ 2 = 343,535,621.5
If the quotient is a whole number, then 2 and 343,535,621.5 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 | 687,071,243 | |
| -1 | -687,071,243 |
Now, we try dividing 687,071,243 by 3:
687,071,243 ÷ 3 = 229,023,747.6667
If the quotient is a whole number, then 3 and 229,023,747.6667 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 | 687,071,243 | |
| -1 | -687,071,243 |
Let's try dividing by 4:
687,071,243 ÷ 4 = 171,767,810.75
If the quotient is a whole number, then 4 and 171,767,810.75 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 | 687,071,243 | |
| -1 | 687,071,243 |
If you did it right, you will end up with this table:
| 1 | 43 | 61 | 163 | 1,607 | 2,623 | 7,009 | 9,943 | 69,101 | 98,027 | 261,941 | 427,549 | 4,215,161 | 11,263,463 | 15,978,401 | 687,071,243 |
| -1 | -43 | -61 | -163 | -1,607 | -2,623 | -7,009 | -9,943 | -69,101 | -98,027 | -261,941 | -427,549 | -4,215,161 | -11,263,463 | -15,978,401 | -687,071,243 |
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