A:
Positive:
1 x 2313123197 x 3304461717 x 13606607119 x 1943801227 x 10189971589 x 1455713859 x 599418563 x 27013
Negative:
-1 x -231312319-7 x -33044617-17 x -13606607-119 x -1943801-227 x -1018997-1589 x -145571-3859 x -59941-8563 x -27013
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 231,312,319, 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 | 231,312,319 | |
| -1 | -231,312,319 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,312,319.
Example:
1 x 231,312,319 = 231,312,319
and
-1 x -231,312,319 = 231,312,319
Notice both answers equal 231,312,319
With that explanation out of the way, let's continue. Next, we take the number 231,312,319 and divide it by 2:
231,312,319 ÷ 2 = 115,656,159.5
If the quotient is a whole number, then 2 and 115,656,159.5 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 | 231,312,319 | |
| -1 | -231,312,319 |
Now, we try dividing 231,312,319 by 3:
231,312,319 ÷ 3 = 77,104,106.3333
If the quotient is a whole number, then 3 and 77,104,106.3333 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 | 231,312,319 | |
| -1 | -231,312,319 |
Let's try dividing by 4:
231,312,319 ÷ 4 = 57,828,079.75
If the quotient is a whole number, then 4 and 57,828,079.75 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 | 231,312,319 | |
| -1 | 231,312,319 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 227 | 1,589 | 3,859 | 8,563 | 27,013 | 59,941 | 145,571 | 1,018,997 | 1,943,801 | 13,606,607 | 33,044,617 | 231,312,319 |
| -1 | -7 | -17 | -119 | -227 | -1,589 | -3,859 | -8,563 | -27,013 | -59,941 | -145,571 | -1,018,997 | -1,943,801 | -13,606,607 | -33,044,617 | -231,312,319 |
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