A:
Positive:
1 x 3333010317 x 4761443317 x 1960594329 x 11493139119 x 2800849203 x 1641877493 x 6760673451 x 96581
Negative:
-1 x -333301031-7 x -47614433-17 x -19605943-29 x -11493139-119 x -2800849-203 x -1641877-493 x -676067-3451 x -96581
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 333,301,031, 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 | 333,301,031 | |
| -1 | -333,301,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 333,301,031.
Example:
1 x 333,301,031 = 333,301,031
and
-1 x -333,301,031 = 333,301,031
Notice both answers equal 333,301,031
With that explanation out of the way, let's continue. Next, we take the number 333,301,031 and divide it by 2:
333,301,031 ÷ 2 = 166,650,515.5
If the quotient is a whole number, then 2 and 166,650,515.5 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 | 333,301,031 | |
| -1 | -333,301,031 |
Now, we try dividing 333,301,031 by 3:
333,301,031 ÷ 3 = 111,100,343.6667
If the quotient is a whole number, then 3 and 111,100,343.6667 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 | 333,301,031 | |
| -1 | -333,301,031 |
Let's try dividing by 4:
333,301,031 ÷ 4 = 83,325,257.75
If the quotient is a whole number, then 4 and 83,325,257.75 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 | 333,301,031 | |
| -1 | 333,301,031 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 29 | 119 | 203 | 493 | 3,451 | 96,581 | 676,067 | 1,641,877 | 2,800,849 | 11,493,139 | 19,605,943 | 47,614,433 | 333,301,031 |
| -1 | -7 | -17 | -29 | -119 | -203 | -493 | -3,451 | -96,581 | -676,067 | -1,641,877 | -2,800,849 | -11,493,139 | -19,605,943 | -47,614,433 | -333,301,031 |
Here are some more numbers to try:
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