A:
Positive:
1 x 3112202177 x 4446003111 x 2829274741 x 759073749 x 635143377 x 4041821287 x 1084391451 x 690067539 x 5774032009 x 1549133157 x 9858114083 x 22099
Negative:
-1 x -311220217-7 x -44460031-11 x -28292747-41 x -7590737-49 x -6351433-77 x -4041821-287 x -1084391-451 x -690067-539 x -577403-2009 x -154913-3157 x -98581-14083 x -22099
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 311,220,217, 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 | 311,220,217 | |
| -1 | -311,220,217 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 311,220,217.
Example:
1 x 311,220,217 = 311,220,217
and
-1 x -311,220,217 = 311,220,217
Notice both answers equal 311,220,217
With that explanation out of the way, let's continue. Next, we take the number 311,220,217 and divide it by 2:
311,220,217 ÷ 2 = 155,610,108.5
If the quotient is a whole number, then 2 and 155,610,108.5 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 | 311,220,217 | |
| -1 | -311,220,217 |
Now, we try dividing 311,220,217 by 3:
311,220,217 ÷ 3 = 103,740,072.3333
If the quotient is a whole number, then 3 and 103,740,072.3333 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 | 311,220,217 | |
| -1 | -311,220,217 |
Let's try dividing by 4:
311,220,217 ÷ 4 = 77,805,054.25
If the quotient is a whole number, then 4 and 77,805,054.25 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 | 311,220,217 | |
| -1 | 311,220,217 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 41 | 49 | 77 | 287 | 451 | 539 | 2,009 | 3,157 | 14,083 | 22,099 | 98,581 | 154,913 | 577,403 | 690,067 | 1,084,391 | 4,041,821 | 6,351,433 | 7,590,737 | 28,292,747 | 44,460,031 | 311,220,217 |
| -1 | -7 | -11 | -41 | -49 | -77 | -287 | -451 | -539 | -2,009 | -3,157 | -14,083 | -22,099 | -98,581 | -154,913 | -577,403 | -690,067 | -1,084,391 | -4,041,821 | -6,351,433 | -7,590,737 | -28,292,747 | -44,460,031 | -311,220,217 |
Here are some more numbers to try:
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