A:
Positive:
1 x 3222340317 x 4603343317 x 18954943107 x 3011533119 x 2707849749 x 4302191819 x 17714912733 x 25307
Negative:
-1 x -322234031-7 x -46033433-17 x -18954943-107 x -3011533-119 x -2707849-749 x -430219-1819 x -177149-12733 x -25307
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 322,234,031, 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 | 322,234,031 | |
| -1 | -322,234,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 322,234,031.
Example:
1 x 322,234,031 = 322,234,031
and
-1 x -322,234,031 = 322,234,031
Notice both answers equal 322,234,031
With that explanation out of the way, let's continue. Next, we take the number 322,234,031 and divide it by 2:
322,234,031 ÷ 2 = 161,117,015.5
If the quotient is a whole number, then 2 and 161,117,015.5 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 | 322,234,031 | |
| -1 | -322,234,031 |
Now, we try dividing 322,234,031 by 3:
322,234,031 ÷ 3 = 107,411,343.6667
If the quotient is a whole number, then 3 and 107,411,343.6667 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 | 322,234,031 | |
| -1 | -322,234,031 |
Let's try dividing by 4:
322,234,031 ÷ 4 = 80,558,507.75
If the quotient is a whole number, then 4 and 80,558,507.75 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 | 322,234,031 | |
| -1 | 322,234,031 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 107 | 119 | 749 | 1,819 | 12,733 | 25,307 | 177,149 | 430,219 | 2,707,849 | 3,011,533 | 18,954,943 | 46,033,433 | 322,234,031 |
| -1 | -7 | -17 | -107 | -119 | -749 | -1,819 | -12,733 | -25,307 | -177,149 | -430,219 | -2,707,849 | -3,011,533 | -18,954,943 | -46,033,433 | -322,234,031 |
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