A:
Positive:
1 x 1110000111 x 100909197 x 114433101 x 109901103 x 1077671067 x 104031111 x 99911133 x 9797
Negative:
-1 x -11100001-11 x -1009091-97 x -114433-101 x -109901-103 x -107767-1067 x -10403-1111 x -9991-1133 x -9797
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 11,100,001, 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 | 11,100,001 | |
| -1 | -11,100,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 11,100,001.
Example:
1 x 11,100,001 = 11,100,001
and
-1 x -11,100,001 = 11,100,001
Notice both answers equal 11,100,001
With that explanation out of the way, let's continue. Next, we take the number 11,100,001 and divide it by 2:
11,100,001 ÷ 2 = 5,550,000.5
If the quotient is a whole number, then 2 and 5,550,000.5 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 | 11,100,001 | |
| -1 | -11,100,001 |
Now, we try dividing 11,100,001 by 3:
11,100,001 ÷ 3 = 3,700,000.3333
If the quotient is a whole number, then 3 and 3,700,000.3333 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 | 11,100,001 | |
| -1 | -11,100,001 |
Let's try dividing by 4:
11,100,001 ÷ 4 = 2,775,000.25
If the quotient is a whole number, then 4 and 2,775,000.25 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 | 11,100,001 | |
| -1 | 11,100,001 |
If you did it right, you will end up with this table:
| 1 | 11 | 97 | 101 | 103 | 1,067 | 1,111 | 1,133 | 9,797 | 9,991 | 10,403 | 107,767 | 109,901 | 114,433 | 1,009,091 | 11,100,001 |
| -1 | -11 | -97 | -101 | -103 | -1,067 | -1,111 | -1,133 | -9,797 | -9,991 | -10,403 | -107,767 | -109,901 | -114,433 | -1,009,091 | -11,100,001 |
Here are some more numbers to try:
Try the factor calculator