A:
Positive:
1 x 2012320317 x 2874743311 x 1829382113 x 1547938777 x 261340391 x 2211341143 x 14072171001 x 201031
Negative:
-1 x -201232031-7 x -28747433-11 x -18293821-13 x -15479387-77 x -2613403-91 x -2211341-143 x -1407217-1001 x -201031
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 201,232,031, 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 | 201,232,031 | |
| -1 | -201,232,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,232,031.
Example:
1 x 201,232,031 = 201,232,031
and
-1 x -201,232,031 = 201,232,031
Notice both answers equal 201,232,031
With that explanation out of the way, let's continue. Next, we take the number 201,232,031 and divide it by 2:
201,232,031 ÷ 2 = 100,616,015.5
If the quotient is a whole number, then 2 and 100,616,015.5 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 | 201,232,031 | |
| -1 | -201,232,031 |
Now, we try dividing 201,232,031 by 3:
201,232,031 ÷ 3 = 67,077,343.6667
If the quotient is a whole number, then 3 and 67,077,343.6667 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 | 201,232,031 | |
| -1 | -201,232,031 |
Let's try dividing by 4:
201,232,031 ÷ 4 = 50,308,007.75
If the quotient is a whole number, then 4 and 50,308,007.75 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 | 201,232,031 | |
| -1 | 201,232,031 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 143 | 1,001 | 201,031 | 1,407,217 | 2,211,341 | 2,613,403 | 15,479,387 | 18,293,821 | 28,747,433 | 201,232,031 |
| -1 | -7 | -11 | -13 | -77 | -91 | -143 | -1,001 | -201,031 | -1,407,217 | -2,211,341 | -2,613,403 | -15,479,387 | -18,293,821 | -28,747,433 | -201,232,031 |
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