A:
Positive:
1 x 31246030119 x 1644527937 x 8444873149 x 2097049157 x 1990193361 x 865541703 x 4444672831 x 1103712983 x 1047475513 x 566775809 x 5378913357 x 23393
Negative:
-1 x -312460301-19 x -16445279-37 x -8444873-149 x -2097049-157 x -1990193-361 x -865541-703 x -444467-2831 x -110371-2983 x -104747-5513 x -56677-5809 x -53789-13357 x -23393
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 312,460,301, 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 | 312,460,301 | |
| -1 | -312,460,301 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,460,301.
Example:
1 x 312,460,301 = 312,460,301
and
-1 x -312,460,301 = 312,460,301
Notice both answers equal 312,460,301
With that explanation out of the way, let's continue. Next, we take the number 312,460,301 and divide it by 2:
312,460,301 ÷ 2 = 156,230,150.5
If the quotient is a whole number, then 2 and 156,230,150.5 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 | 312,460,301 | |
| -1 | -312,460,301 |
Now, we try dividing 312,460,301 by 3:
312,460,301 ÷ 3 = 104,153,433.6667
If the quotient is a whole number, then 3 and 104,153,433.6667 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 | 312,460,301 | |
| -1 | -312,460,301 |
Let's try dividing by 4:
312,460,301 ÷ 4 = 78,115,075.25
If the quotient is a whole number, then 4 and 78,115,075.25 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 | 312,460,301 | |
| -1 | 312,460,301 |
If you did it right, you will end up with this table:
| 1 | 19 | 37 | 149 | 157 | 361 | 703 | 2,831 | 2,983 | 5,513 | 5,809 | 13,357 | 23,393 | 53,789 | 56,677 | 104,747 | 110,371 | 444,467 | 865,541 | 1,990,193 | 2,097,049 | 8,444,873 | 16,445,279 | 312,460,301 |
| -1 | -19 | -37 | -149 | -157 | -361 | -703 | -2,831 | -2,983 | -5,513 | -5,809 | -13,357 | -23,393 | -53,789 | -56,677 | -104,747 | -110,371 | -444,467 | -865,541 | -1,990,193 | -2,097,049 | -8,444,873 | -16,445,279 | -312,460,301 |
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