A:
Positive:
1 x 11110111111 x 10100101101 x 1100011121 x 9181911111 x 1000019091 x 12221
Negative:
-1 x -111101111-11 x -10100101-101 x -1100011-121 x -918191-1111 x -100001-9091 x -12221
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 111,101,111, 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 | 111,101,111 | |
| -1 | -111,101,111 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 111,101,111.
Example:
1 x 111,101,111 = 111,101,111
and
-1 x -111,101,111 = 111,101,111
Notice both answers equal 111,101,111
With that explanation out of the way, let's continue. Next, we take the number 111,101,111 and divide it by 2:
111,101,111 ÷ 2 = 55,550,555.5
If the quotient is a whole number, then 2 and 55,550,555.5 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 | 111,101,111 | |
| -1 | -111,101,111 |
Now, we try dividing 111,101,111 by 3:
111,101,111 ÷ 3 = 37,033,703.6667
If the quotient is a whole number, then 3 and 37,033,703.6667 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 | 111,101,111 | |
| -1 | -111,101,111 |
Let's try dividing by 4:
111,101,111 ÷ 4 = 27,775,277.75
If the quotient is a whole number, then 4 and 27,775,277.75 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 | 111,101,111 | |
| -1 | 111,101,111 |
If you did it right, you will end up with this table:
| 1 | 11 | 101 | 121 | 1,111 | 9,091 | 12,221 | 100,001 | 918,191 | 1,100,011 | 10,100,101 | 111,101,111 |
| -1 | -11 | -101 | -121 | -1,111 | -9,091 | -12,221 | -100,001 | -918,191 | -1,100,011 | -10,100,101 | -111,101,111 |
Here are some more numbers to try:
Try the factor calculator