A:
Positive:
1 x 123132317 x 175903331 x 397201179 x 68789217 x 56743317 x 388431253 x 98272219 x 5549
Negative:
-1 x -12313231-7 x -1759033-31 x -397201-179 x -68789-217 x -56743-317 x -38843-1253 x -9827-2219 x -5549
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 12,313,231, 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 | 12,313,231 | |
| -1 | -12,313,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,313,231.
Example:
1 x 12,313,231 = 12,313,231
and
-1 x -12,313,231 = 12,313,231
Notice both answers equal 12,313,231
With that explanation out of the way, let's continue. Next, we take the number 12,313,231 and divide it by 2:
12,313,231 ÷ 2 = 6,156,615.5
If the quotient is a whole number, then 2 and 6,156,615.5 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 | 12,313,231 | |
| -1 | -12,313,231 |
Now, we try dividing 12,313,231 by 3:
12,313,231 ÷ 3 = 4,104,410.3333
If the quotient is a whole number, then 3 and 4,104,410.3333 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 | 12,313,231 | |
| -1 | -12,313,231 |
Let's try dividing by 4:
12,313,231 ÷ 4 = 3,078,307.75
If the quotient is a whole number, then 4 and 3,078,307.75 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 | 12,313,231 | |
| -1 | 12,313,231 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 179 | 217 | 317 | 1,253 | 2,219 | 5,549 | 9,827 | 38,843 | 56,743 | 68,789 | 397,201 | 1,759,033 | 12,313,231 |
| -1 | -7 | -31 | -179 | -217 | -317 | -1,253 | -2,219 | -5,549 | -9,827 | -38,843 | -56,743 | -68,789 | -397,201 | -1,759,033 | -12,313,231 |
Here are some more numbers to try:
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