A:
Positive:
1 x 7116232137 x 10166045917 x 41860189119 x 59800271669 x 4263773583 x 19861111683 x 6091125081 x 28373
Negative:
-1 x -711623213-7 x -101660459-17 x -41860189-119 x -5980027-1669 x -426377-3583 x -198611-11683 x -60911-25081 x -28373
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 711,623,213, 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 | 711,623,213 | |
| -1 | -711,623,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 711,623,213.
Example:
1 x 711,623,213 = 711,623,213
and
-1 x -711,623,213 = 711,623,213
Notice both answers equal 711,623,213
With that explanation out of the way, let's continue. Next, we take the number 711,623,213 and divide it by 2:
711,623,213 ÷ 2 = 355,811,606.5
If the quotient is a whole number, then 2 and 355,811,606.5 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 | 711,623,213 | |
| -1 | -711,623,213 |
Now, we try dividing 711,623,213 by 3:
711,623,213 ÷ 3 = 237,207,737.6667
If the quotient is a whole number, then 3 and 237,207,737.6667 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 | 711,623,213 | |
| -1 | -711,623,213 |
Let's try dividing by 4:
711,623,213 ÷ 4 = 177,905,803.25
If the quotient is a whole number, then 4 and 177,905,803.25 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 | 711,623,213 | |
| -1 | 711,623,213 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 1,669 | 3,583 | 11,683 | 25,081 | 28,373 | 60,911 | 198,611 | 426,377 | 5,980,027 | 41,860,189 | 101,660,459 | 711,623,213 |
| -1 | -7 | -17 | -119 | -1,669 | -3,583 | -11,683 | -25,081 | -28,373 | -60,911 | -198,611 | -426,377 | -5,980,027 | -41,860,189 | -101,660,459 | -711,623,213 |
Here are some more numbers to try:
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