A:
Positive:
1 x 12314413111 x 1119492143 x 2863817139 x 885929473 x 2603471529 x 805391873 x 657475977 x 20603
Negative:
-1 x -123144131-11 x -11194921-43 x -2863817-139 x -885929-473 x -260347-1529 x -80539-1873 x -65747-5977 x -20603
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 123,144,131, 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 | 123,144,131 | |
| -1 | -123,144,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,144,131.
Example:
1 x 123,144,131 = 123,144,131
and
-1 x -123,144,131 = 123,144,131
Notice both answers equal 123,144,131
With that explanation out of the way, let's continue. Next, we take the number 123,144,131 and divide it by 2:
123,144,131 ÷ 2 = 61,572,065.5
If the quotient is a whole number, then 2 and 61,572,065.5 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 | 123,144,131 | |
| -1 | -123,144,131 |
Now, we try dividing 123,144,131 by 3:
123,144,131 ÷ 3 = 41,048,043.6667
If the quotient is a whole number, then 3 and 41,048,043.6667 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 | 123,144,131 | |
| -1 | -123,144,131 |
Let's try dividing by 4:
123,144,131 ÷ 4 = 30,786,032.75
If the quotient is a whole number, then 4 and 30,786,032.75 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 | 123,144,131 | |
| -1 | 123,144,131 |
If you did it right, you will end up with this table:
| 1 | 11 | 43 | 139 | 473 | 1,529 | 1,873 | 5,977 | 20,603 | 65,747 | 80,539 | 260,347 | 885,929 | 2,863,817 | 11,194,921 | 123,144,131 |
| -1 | -11 | -43 | -139 | -473 | -1,529 | -1,873 | -5,977 | -20,603 | -65,747 | -80,539 | -260,347 | -885,929 | -2,863,817 | -11,194,921 | -123,144,131 |
Here are some more numbers to try:
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