A:
Positive:
1 x 1232623217 x 1760890313 x 948171791 x 1354531113 x 1090817791 x 1558311469 x 8390910283 x 11987
Negative:
-1 x -123262321-7 x -17608903-13 x -9481717-91 x -1354531-113 x -1090817-791 x -155831-1469 x -83909-10283 x -11987
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 123,262,321, 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 | 123,262,321 | |
| -1 | -123,262,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,262,321.
Example:
1 x 123,262,321 = 123,262,321
and
-1 x -123,262,321 = 123,262,321
Notice both answers equal 123,262,321
With that explanation out of the way, let's continue. Next, we take the number 123,262,321 and divide it by 2:
123,262,321 ÷ 2 = 61,631,160.5
If the quotient is a whole number, then 2 and 61,631,160.5 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 | 123,262,321 | |
| -1 | -123,262,321 |
Now, we try dividing 123,262,321 by 3:
123,262,321 ÷ 3 = 41,087,440.3333
If the quotient is a whole number, then 3 and 41,087,440.3333 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 | 123,262,321 | |
| -1 | -123,262,321 |
Let's try dividing by 4:
123,262,321 ÷ 4 = 30,815,580.25
If the quotient is a whole number, then 4 and 30,815,580.25 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 | 123,262,321 | |
| -1 | 123,262,321 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 113 | 791 | 1,469 | 10,283 | 11,987 | 83,909 | 155,831 | 1,090,817 | 1,354,531 | 9,481,717 | 17,608,903 | 123,262,321 |
| -1 | -7 | -13 | -91 | -113 | -791 | -1,469 | -10,283 | -11,987 | -83,909 | -155,831 | -1,090,817 | -1,354,531 | -9,481,717 | -17,608,903 | -123,262,321 |
Here are some more numbers to try:
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