A:
Positive:
1 x 3212322197 x 4589031711 x 2920292977 x 4171847113 x 2842763791 x 4061091243 x 2584338701 x 36919
Negative:
-1 x -321232219-7 x -45890317-11 x -29202929-77 x -4171847-113 x -2842763-791 x -406109-1243 x -258433-8701 x -36919
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 321,232,219, 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 | 321,232,219 | |
| -1 | -321,232,219 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 321,232,219.
Example:
1 x 321,232,219 = 321,232,219
and
-1 x -321,232,219 = 321,232,219
Notice both answers equal 321,232,219
With that explanation out of the way, let's continue. Next, we take the number 321,232,219 and divide it by 2:
321,232,219 ÷ 2 = 160,616,109.5
If the quotient is a whole number, then 2 and 160,616,109.5 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 | 321,232,219 | |
| -1 | -321,232,219 |
Now, we try dividing 321,232,219 by 3:
321,232,219 ÷ 3 = 107,077,406.3333
If the quotient is a whole number, then 3 and 107,077,406.3333 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 | 321,232,219 | |
| -1 | -321,232,219 |
Let's try dividing by 4:
321,232,219 ÷ 4 = 80,308,054.75
If the quotient is a whole number, then 4 and 80,308,054.75 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 | 321,232,219 | |
| -1 | 321,232,219 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 113 | 791 | 1,243 | 8,701 | 36,919 | 258,433 | 406,109 | 2,842,763 | 4,171,847 | 29,202,929 | 45,890,317 | 321,232,219 |
| -1 | -7 | -11 | -77 | -113 | -791 | -1,243 | -8,701 | -36,919 | -258,433 | -406,109 | -2,842,763 | -4,171,847 | -29,202,929 | -45,890,317 | -321,232,219 |
Here are some more numbers to try:
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