A:
Positive:
1 x 33331203113 x 2563938731 x 1075200189 x 3745079403 x 8270771157 x 2880832759 x 1208099293 x 35867
Negative:
-1 x -333312031-13 x -25639387-31 x -10752001-89 x -3745079-403 x -827077-1157 x -288083-2759 x -120809-9293 x -35867
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 333,312,031, 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 | 333,312,031 | |
| -1 | -333,312,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 333,312,031.
Example:
1 x 333,312,031 = 333,312,031
and
-1 x -333,312,031 = 333,312,031
Notice both answers equal 333,312,031
With that explanation out of the way, let's continue. Next, we take the number 333,312,031 and divide it by 2:
333,312,031 ÷ 2 = 166,656,015.5
If the quotient is a whole number, then 2 and 166,656,015.5 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 | 333,312,031 | |
| -1 | -333,312,031 |
Now, we try dividing 333,312,031 by 3:
333,312,031 ÷ 3 = 111,104,010.3333
If the quotient is a whole number, then 3 and 111,104,010.3333 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 | 333,312,031 | |
| -1 | -333,312,031 |
Let's try dividing by 4:
333,312,031 ÷ 4 = 83,328,007.75
If the quotient is a whole number, then 4 and 83,328,007.75 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 | 333,312,031 | |
| -1 | 333,312,031 |
If you did it right, you will end up with this table:
| 1 | 13 | 31 | 89 | 403 | 1,157 | 2,759 | 9,293 | 35,867 | 120,809 | 288,083 | 827,077 | 3,745,079 | 10,752,001 | 25,639,387 | 333,312,031 |
| -1 | -13 | -31 | -89 | -403 | -1,157 | -2,759 | -9,293 | -35,867 | -120,809 | -288,083 | -827,077 | -3,745,079 | -10,752,001 | -25,639,387 | -333,312,031 |
Here are some more numbers to try:
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