A:
Positive:
1 x 3122021217 x 4460030311 x 2838201177 x 405457389 x 3507889623 x 501127979 x 3188996853 x 45557
Negative:
-1 x -312202121-7 x -44600303-11 x -28382011-77 x -4054573-89 x -3507889-623 x -501127-979 x -318899-6853 x -45557
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 312,202,121, 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 | 312,202,121 | |
| -1 | -312,202,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,202,121.
Example:
1 x 312,202,121 = 312,202,121
and
-1 x -312,202,121 = 312,202,121
Notice both answers equal 312,202,121
With that explanation out of the way, let's continue. Next, we take the number 312,202,121 and divide it by 2:
312,202,121 ÷ 2 = 156,101,060.5
If the quotient is a whole number, then 2 and 156,101,060.5 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 | 312,202,121 | |
| -1 | -312,202,121 |
Now, we try dividing 312,202,121 by 3:
312,202,121 ÷ 3 = 104,067,373.6667
If the quotient is a whole number, then 3 and 104,067,373.6667 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 | 312,202,121 | |
| -1 | -312,202,121 |
Let's try dividing by 4:
312,202,121 ÷ 4 = 78,050,530.25
If the quotient is a whole number, then 4 and 78,050,530.25 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 | 312,202,121 | |
| -1 | 312,202,121 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 89 | 623 | 979 | 6,853 | 45,557 | 318,899 | 501,127 | 3,507,889 | 4,054,573 | 28,382,011 | 44,600,303 | 312,202,121 |
| -1 | -7 | -11 | -77 | -89 | -623 | -979 | -6,853 | -45,557 | -318,899 | -501,127 | -3,507,889 | -4,054,573 | -28,382,011 | -44,600,303 | -312,202,121 |
Here are some more numbers to try:
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