A:
Positive:
1 x 1231233017 x 1758904323 x 535318771 x 1734131161 x 764741497 x 2477331633 x 7539710771 x 11431
Negative:
-1 x -123123301-7 x -17589043-23 x -5353187-71 x -1734131-161 x -764741-497 x -247733-1633 x -75397-10771 x -11431
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 123,123,301, 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 | 123,123,301 | |
| -1 | -123,123,301 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,123,301.
Example:
1 x 123,123,301 = 123,123,301
and
-1 x -123,123,301 = 123,123,301
Notice both answers equal 123,123,301
With that explanation out of the way, let's continue. Next, we take the number 123,123,301 and divide it by 2:
123,123,301 ÷ 2 = 61,561,650.5
If the quotient is a whole number, then 2 and 61,561,650.5 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 | 123,123,301 | |
| -1 | -123,123,301 |
Now, we try dividing 123,123,301 by 3:
123,123,301 ÷ 3 = 41,041,100.3333
If the quotient is a whole number, then 3 and 41,041,100.3333 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 | 123,123,301 | |
| -1 | -123,123,301 |
Let's try dividing by 4:
123,123,301 ÷ 4 = 30,780,825.25
If the quotient is a whole number, then 4 and 30,780,825.25 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 | 123,123,301 | |
| -1 | 123,123,301 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 71 | 161 | 497 | 1,633 | 10,771 | 11,431 | 75,397 | 247,733 | 764,741 | 1,734,131 | 5,353,187 | 17,589,043 | 123,123,301 |
| -1 | -7 | -23 | -71 | -161 | -497 | -1,633 | -10,771 | -11,431 | -75,397 | -247,733 | -764,741 | -1,734,131 | -5,353,187 | -17,589,043 | -123,123,301 |
Here are some more numbers to try:
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