A:
Positive:
1 x 3221021097 x 4601458741 x 7856149287 x 1122307821 x 3923291367 x 2356275747 x 560479569 x 33661
Negative:
-1 x -322102109-7 x -46014587-41 x -7856149-287 x -1122307-821 x -392329-1367 x -235627-5747 x -56047-9569 x -33661
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 322,102,109, 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 | 322,102,109 | |
| -1 | -322,102,109 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 322,102,109.
Example:
1 x 322,102,109 = 322,102,109
and
-1 x -322,102,109 = 322,102,109
Notice both answers equal 322,102,109
With that explanation out of the way, let's continue. Next, we take the number 322,102,109 and divide it by 2:
322,102,109 ÷ 2 = 161,051,054.5
If the quotient is a whole number, then 2 and 161,051,054.5 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 | 322,102,109 | |
| -1 | -322,102,109 |
Now, we try dividing 322,102,109 by 3:
322,102,109 ÷ 3 = 107,367,369.6667
If the quotient is a whole number, then 3 and 107,367,369.6667 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 | 322,102,109 | |
| -1 | -322,102,109 |
Let's try dividing by 4:
322,102,109 ÷ 4 = 80,525,527.25
If the quotient is a whole number, then 4 and 80,525,527.25 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 | 322,102,109 | |
| -1 | 322,102,109 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 287 | 821 | 1,367 | 5,747 | 9,569 | 33,661 | 56,047 | 235,627 | 392,329 | 1,122,307 | 7,856,149 | 46,014,587 | 322,102,109 |
| -1 | -7 | -41 | -287 | -821 | -1,367 | -5,747 | -9,569 | -33,661 | -56,047 | -235,627 | -392,329 | -1,122,307 | -7,856,149 | -46,014,587 | -322,102,109 |
Here are some more numbers to try:
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