A:
Positive:
1 x 31212181161 x 511675179 x 3950909239 x 1305949271 x 11517414819 x 6476914579 x 2140916531 x 18881
Negative:
-1 x -312121811-61 x -5116751-79 x -3950909-239 x -1305949-271 x -1151741-4819 x -64769-14579 x -21409-16531 x -18881
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 312,121,811, 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 | 312,121,811 | |
| -1 | -312,121,811 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,121,811.
Example:
1 x 312,121,811 = 312,121,811
and
-1 x -312,121,811 = 312,121,811
Notice both answers equal 312,121,811
With that explanation out of the way, let's continue. Next, we take the number 312,121,811 and divide it by 2:
312,121,811 ÷ 2 = 156,060,905.5
If the quotient is a whole number, then 2 and 156,060,905.5 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 | 312,121,811 | |
| -1 | -312,121,811 |
Now, we try dividing 312,121,811 by 3:
312,121,811 ÷ 3 = 104,040,603.6667
If the quotient is a whole number, then 3 and 104,040,603.6667 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 | 312,121,811 | |
| -1 | -312,121,811 |
Let's try dividing by 4:
312,121,811 ÷ 4 = 78,030,452.75
If the quotient is a whole number, then 4 and 78,030,452.75 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 | 312,121,811 | |
| -1 | 312,121,811 |
If you did it right, you will end up with this table:
| 1 | 61 | 79 | 239 | 271 | 4,819 | 14,579 | 16,531 | 18,881 | 21,409 | 64,769 | 1,151,741 | 1,305,949 | 3,950,909 | 5,116,751 | 312,121,811 |
| -1 | -61 | -79 | -239 | -271 | -4,819 | -14,579 | -16,531 | -18,881 | -21,409 | -64,769 | -1,151,741 | -1,305,949 | -3,950,909 | -5,116,751 | -312,121,811 |
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