A:
Positive:
1 x 6885471355 x 137709427131 x 5256085467 x 1474405655 x 10512172251 x 3058852335 x 29488111255 x 61177
Negative:
-1 x -688547135-5 x -137709427-131 x -5256085-467 x -1474405-655 x -1051217-2251 x -305885-2335 x -294881-11255 x -61177
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 688,547,135, 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 | 688,547,135 | |
| -1 | -688,547,135 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 688,547,135.
Example:
1 x 688,547,135 = 688,547,135
and
-1 x -688,547,135 = 688,547,135
Notice both answers equal 688,547,135
With that explanation out of the way, let's continue. Next, we take the number 688,547,135 and divide it by 2:
688,547,135 ÷ 2 = 344,273,567.5
If the quotient is a whole number, then 2 and 344,273,567.5 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 | 688,547,135 | |
| -1 | -688,547,135 |
Now, we try dividing 688,547,135 by 3:
688,547,135 ÷ 3 = 229,515,711.6667
If the quotient is a whole number, then 3 and 229,515,711.6667 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 | 688,547,135 | |
| -1 | -688,547,135 |
Let's try dividing by 4:
688,547,135 ÷ 4 = 172,136,783.75
If the quotient is a whole number, then 4 and 172,136,783.75 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 | 688,547,135 | |
| -1 | 688,547,135 |
If you did it right, you will end up with this table:
| 1 | 5 | 131 | 467 | 655 | 2,251 | 2,335 | 11,255 | 61,177 | 294,881 | 305,885 | 1,051,217 | 1,474,405 | 5,256,085 | 137,709,427 | 688,547,135 |
| -1 | -5 | -131 | -467 | -655 | -2,251 | -2,335 | -11,255 | -61,177 | -294,881 | -305,885 | -1,051,217 | -1,474,405 | -5,256,085 | -137,709,427 | -688,547,135 |
Here are some more numbers to try:
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