A:
Positive:
1 x 7121166582 x 35605832911 x 6473787822 x 32368939739 x 9636221478 x 4818118129 x 8760216258 x 43801
Negative:
-1 x -712116658-2 x -356058329-11 x -64737878-22 x -32368939-739 x -963622-1478 x -481811-8129 x -87602-16258 x -43801
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 712,116,658, 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 | 712,116,658 | |
| -1 | -712,116,658 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 712,116,658.
Example:
1 x 712,116,658 = 712,116,658
and
-1 x -712,116,658 = 712,116,658
Notice both answers equal 712,116,658
With that explanation out of the way, let's continue. Next, we take the number 712,116,658 and divide it by 2:
712,116,658 ÷ 2 = 356,058,329
If the quotient is a whole number, then 2 and 356,058,329 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 356,058,329 | 712,116,658 | |
| -1 | -2 | -356,058,329 | -712,116,658 |
Now, we try dividing 712,116,658 by 3:
712,116,658 ÷ 3 = 237,372,219.3333
If the quotient is a whole number, then 3 and 237,372,219.3333 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 | 2 | 356,058,329 | 712,116,658 | |
| -1 | -2 | -356,058,329 | -712,116,658 |
Let's try dividing by 4:
712,116,658 ÷ 4 = 178,029,164.5
If the quotient is a whole number, then 4 and 178,029,164.5 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 | 2 | 356,058,329 | 712,116,658 | |
| -1 | -2 | -356,058,329 | 712,116,658 |
If you did it right, you will end up with this table:
| 1 | 2 | 11 | 22 | 739 | 1,478 | 8,129 | 16,258 | 43,801 | 87,602 | 481,811 | 963,622 | 32,368,939 | 64,737,878 | 356,058,329 | 712,116,658 |
| -1 | -2 | -11 | -22 | -739 | -1,478 | -8,129 | -16,258 | -43,801 | -87,602 | -481,811 | -963,622 | -32,368,939 | -64,737,878 | -356,058,329 | -712,116,658 |
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