A:
Positive:
1 x 1230042317 x 1757203317 x 7235543119 x 1033649241 x 5103911687 x 729134097 x 300234289 x 28679
Negative:
-1 x -123004231-7 x -17572033-17 x -7235543-119 x -1033649-241 x -510391-1687 x -72913-4097 x -30023-4289 x -28679
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 123,004,231, 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 | 123,004,231 | |
| -1 | -123,004,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,004,231.
Example:
1 x 123,004,231 = 123,004,231
and
-1 x -123,004,231 = 123,004,231
Notice both answers equal 123,004,231
With that explanation out of the way, let's continue. Next, we take the number 123,004,231 and divide it by 2:
123,004,231 ÷ 2 = 61,502,115.5
If the quotient is a whole number, then 2 and 61,502,115.5 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 | 123,004,231 | |
| -1 | -123,004,231 |
Now, we try dividing 123,004,231 by 3:
123,004,231 ÷ 3 = 41,001,410.3333
If the quotient is a whole number, then 3 and 41,001,410.3333 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 | 123,004,231 | |
| -1 | -123,004,231 |
Let's try dividing by 4:
123,004,231 ÷ 4 = 30,751,057.75
If the quotient is a whole number, then 4 and 30,751,057.75 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 | 123,004,231 | |
| -1 | 123,004,231 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 241 | 1,687 | 4,097 | 4,289 | 28,679 | 30,023 | 72,913 | 510,391 | 1,033,649 | 7,235,543 | 17,572,033 | 123,004,231 |
| -1 | -7 | -17 | -119 | -241 | -1,687 | -4,097 | -4,289 | -28,679 | -30,023 | -72,913 | -510,391 | -1,033,649 | -7,235,543 | -17,572,033 | -123,004,231 |
Here are some more numbers to try:
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