A:
Positive:
1 x 10120003117 x 595294389 x 1137079211 x 479621317 x 3192431513 x 668873587 x 282135389 x 18779
Negative:
-1 x -101200031-17 x -5952943-89 x -1137079-211 x -479621-317 x -319243-1513 x -66887-3587 x -28213-5389 x -18779
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 101,200,031, 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 | 101,200,031 | |
| -1 | -101,200,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,200,031.
Example:
1 x 101,200,031 = 101,200,031
and
-1 x -101,200,031 = 101,200,031
Notice both answers equal 101,200,031
With that explanation out of the way, let's continue. Next, we take the number 101,200,031 and divide it by 2:
101,200,031 ÷ 2 = 50,600,015.5
If the quotient is a whole number, then 2 and 50,600,015.5 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 | 101,200,031 | |
| -1 | -101,200,031 |
Now, we try dividing 101,200,031 by 3:
101,200,031 ÷ 3 = 33,733,343.6667
If the quotient is a whole number, then 3 and 33,733,343.6667 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 | 101,200,031 | |
| -1 | -101,200,031 |
Let's try dividing by 4:
101,200,031 ÷ 4 = 25,300,007.75
If the quotient is a whole number, then 4 and 25,300,007.75 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 | 101,200,031 | |
| -1 | 101,200,031 |
If you did it right, you will end up with this table:
| 1 | 17 | 89 | 211 | 317 | 1,513 | 3,587 | 5,389 | 18,779 | 28,213 | 66,887 | 319,243 | 479,621 | 1,137,079 | 5,952,943 | 101,200,031 |
| -1 | -17 | -89 | -211 | -317 | -1,513 | -3,587 | -5,389 | -18,779 | -28,213 | -66,887 | -319,243 | -479,621 | -1,137,079 | -5,952,943 | -101,200,031 |
Here are some more numbers to try:
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