A:
Positive:
1 x 32121331717 x 1889490137 x 8681441421 x 762977629 x 5106731213 x 2648097157 x 4488115577 x 20621
Negative:
-1 x -321213317-17 x -18894901-37 x -8681441-421 x -762977-629 x -510673-1213 x -264809-7157 x -44881-15577 x -20621
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 321,213,317, 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 | 321,213,317 | |
| -1 | -321,213,317 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 321,213,317.
Example:
1 x 321,213,317 = 321,213,317
and
-1 x -321,213,317 = 321,213,317
Notice both answers equal 321,213,317
With that explanation out of the way, let's continue. Next, we take the number 321,213,317 and divide it by 2:
321,213,317 ÷ 2 = 160,606,658.5
If the quotient is a whole number, then 2 and 160,606,658.5 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 | 321,213,317 | |
| -1 | -321,213,317 |
Now, we try dividing 321,213,317 by 3:
321,213,317 ÷ 3 = 107,071,105.6667
If the quotient is a whole number, then 3 and 107,071,105.6667 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 | 321,213,317 | |
| -1 | -321,213,317 |
Let's try dividing by 4:
321,213,317 ÷ 4 = 80,303,329.25
If the quotient is a whole number, then 4 and 80,303,329.25 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 | 321,213,317 | |
| -1 | 321,213,317 |
If you did it right, you will end up with this table:
| 1 | 17 | 37 | 421 | 629 | 1,213 | 7,157 | 15,577 | 20,621 | 44,881 | 264,809 | 510,673 | 762,977 | 8,681,441 | 18,894,901 | 321,213,317 |
| -1 | -17 | -37 | -421 | -629 | -1,213 | -7,157 | -15,577 | -20,621 | -44,881 | -264,809 | -510,673 | -762,977 | -8,681,441 | -18,894,901 | -321,213,317 |
Here are some more numbers to try:
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