A:
Positive:
1 x 11101000141 x 270756197 x 1144433103 x 1077767271 x 4096313977 x 279134223 x 262879991 x 11111
Negative:
-1 x -111010001-41 x -2707561-97 x -1144433-103 x -1077767-271 x -409631-3977 x -27913-4223 x -26287-9991 x -11111
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 111,010,001, 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 | 111,010,001 | |
| -1 | -111,010,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 111,010,001.
Example:
1 x 111,010,001 = 111,010,001
and
-1 x -111,010,001 = 111,010,001
Notice both answers equal 111,010,001
With that explanation out of the way, let's continue. Next, we take the number 111,010,001 and divide it by 2:
111,010,001 ÷ 2 = 55,505,000.5
If the quotient is a whole number, then 2 and 55,505,000.5 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 | 111,010,001 | |
| -1 | -111,010,001 |
Now, we try dividing 111,010,001 by 3:
111,010,001 ÷ 3 = 37,003,333.6667
If the quotient is a whole number, then 3 and 37,003,333.6667 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 | 111,010,001 | |
| -1 | -111,010,001 |
Let's try dividing by 4:
111,010,001 ÷ 4 = 27,752,500.25
If the quotient is a whole number, then 4 and 27,752,500.25 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 | 111,010,001 | |
| -1 | 111,010,001 |
If you did it right, you will end up with this table:
| 1 | 41 | 97 | 103 | 271 | 3,977 | 4,223 | 9,991 | 11,111 | 26,287 | 27,913 | 409,631 | 1,077,767 | 1,144,433 | 2,707,561 | 111,010,001 |
| -1 | -41 | -97 | -103 | -271 | -3,977 | -4,223 | -9,991 | -11,111 | -26,287 | -27,913 | -409,631 | -1,077,767 | -1,144,433 | -2,707,561 | -111,010,001 |
Here are some more numbers to try:
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