A:
Positive:
1 x 3120124077 x 4457320117 x 18353671119 x 2621953149 x 20940431043 x 2991492533 x 12317917597 x 17731
Negative:
-1 x -312012407-7 x -44573201-17 x -18353671-119 x -2621953-149 x -2094043-1043 x -299149-2533 x -123179-17597 x -17731
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 312,012,407, 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 | 312,012,407 | |
| -1 | -312,012,407 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,012,407.
Example:
1 x 312,012,407 = 312,012,407
and
-1 x -312,012,407 = 312,012,407
Notice both answers equal 312,012,407
With that explanation out of the way, let's continue. Next, we take the number 312,012,407 and divide it by 2:
312,012,407 ÷ 2 = 156,006,203.5
If the quotient is a whole number, then 2 and 156,006,203.5 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 | 312,012,407 | |
| -1 | -312,012,407 |
Now, we try dividing 312,012,407 by 3:
312,012,407 ÷ 3 = 104,004,135.6667
If the quotient is a whole number, then 3 and 104,004,135.6667 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 | 312,012,407 | |
| -1 | -312,012,407 |
Let's try dividing by 4:
312,012,407 ÷ 4 = 78,003,101.75
If the quotient is a whole number, then 4 and 78,003,101.75 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 | 312,012,407 | |
| -1 | 312,012,407 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 149 | 1,043 | 2,533 | 17,597 | 17,731 | 123,179 | 299,149 | 2,094,043 | 2,621,953 | 18,353,671 | 44,573,201 | 312,012,407 |
| -1 | -7 | -17 | -119 | -149 | -1,043 | -2,533 | -17,597 | -17,731 | -123,179 | -299,149 | -2,094,043 | -2,621,953 | -18,353,671 | -44,573,201 | -312,012,407 |
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