A:
Positive:
1 x 4122232317 x 5888903349 x 841271971 x 5805961343 x 1201817497 x 8294233479 x 11848916927 x 24353
Negative:
-1 x -412223231-7 x -58889033-49 x -8412719-71 x -5805961-343 x -1201817-497 x -829423-3479 x -118489-16927 x -24353
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 412,223,231, 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 | 412,223,231 | |
| -1 | -412,223,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,223,231.
Example:
1 x 412,223,231 = 412,223,231
and
-1 x -412,223,231 = 412,223,231
Notice both answers equal 412,223,231
With that explanation out of the way, let's continue. Next, we take the number 412,223,231 and divide it by 2:
412,223,231 ÷ 2 = 206,111,615.5
If the quotient is a whole number, then 2 and 206,111,615.5 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 | 412,223,231 | |
| -1 | -412,223,231 |
Now, we try dividing 412,223,231 by 3:
412,223,231 ÷ 3 = 137,407,743.6667
If the quotient is a whole number, then 3 and 137,407,743.6667 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 | 412,223,231 | |
| -1 | -412,223,231 |
Let's try dividing by 4:
412,223,231 ÷ 4 = 103,055,807.75
If the quotient is a whole number, then 4 and 103,055,807.75 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 | 412,223,231 | |
| -1 | 412,223,231 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 71 | 343 | 497 | 3,479 | 16,927 | 24,353 | 118,489 | 829,423 | 1,201,817 | 5,805,961 | 8,412,719 | 58,889,033 | 412,223,231 |
| -1 | -7 | -49 | -71 | -343 | -497 | -3,479 | -16,927 | -24,353 | -118,489 | -829,423 | -1,201,817 | -5,805,961 | -8,412,719 | -58,889,033 | -412,223,231 |
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