A:
Positive:
1 x 3112011111 x 2829101103 x 302137121 x 257191227 x 1370931133 x 274671331 x 233812497 x 12463
Negative:
-1 x -31120111-11 x -2829101-103 x -302137-121 x -257191-227 x -137093-1133 x -27467-1331 x -23381-2497 x -12463
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 31,120,111, 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 | 31,120,111 | |
| -1 | -31,120,111 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,120,111.
Example:
1 x 31,120,111 = 31,120,111
and
-1 x -31,120,111 = 31,120,111
Notice both answers equal 31,120,111
With that explanation out of the way, let's continue. Next, we take the number 31,120,111 and divide it by 2:
31,120,111 ÷ 2 = 15,560,055.5
If the quotient is a whole number, then 2 and 15,560,055.5 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 | 31,120,111 | |
| -1 | -31,120,111 |
Now, we try dividing 31,120,111 by 3:
31,120,111 ÷ 3 = 10,373,370.3333
If the quotient is a whole number, then 3 and 10,373,370.3333 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 | 31,120,111 | |
| -1 | -31,120,111 |
Let's try dividing by 4:
31,120,111 ÷ 4 = 7,780,027.75
If the quotient is a whole number, then 4 and 7,780,027.75 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 | 31,120,111 | |
| -1 | 31,120,111 |
If you did it right, you will end up with this table:
| 1 | 11 | 103 | 121 | 227 | 1,133 | 1,331 | 2,497 | 12,463 | 23,381 | 27,467 | 137,093 | 257,191 | 302,137 | 2,829,101 | 31,120,111 |
| -1 | -11 | -103 | -121 | -227 | -1,133 | -1,331 | -2,497 | -12,463 | -23,381 | -27,467 | -137,093 | -257,191 | -302,137 | -2,829,101 | -31,120,111 |
Here are some more numbers to try:
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