Q: What are the factor combinations of the number 11,011,055?

 A:
Positive:   1 x 110110555 x 220221111 x 100100555 x 200201
Negative: -1 x -11011055-5 x -2202211-11 x -1001005-55 x -200201


How do I find the factor combinations of the number 11,011,055?

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 11,011,055, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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 11,011,055
-1 -11,011,055

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 11,011,055.

Example:
1 x 11,011,055 = 11,011,055
and
-1 x -11,011,055 = 11,011,055
Notice both answers equal 11,011,055

With that explanation out of the way, let's continue. Next, we take the number 11,011,055 and divide it by 2:

11,011,055 ÷ 2 = 5,505,527.5

If the quotient is a whole number, then 2 and 5,505,527.5 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 11,011,055
-1 -11,011,055

Now, we try dividing 11,011,055 by 3:

11,011,055 ÷ 3 = 3,670,351.6667

If the quotient is a whole number, then 3 and 3,670,351.6667 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 11,011,055
-1 -11,011,055

Let's try dividing by 4:

11,011,055 ÷ 4 = 2,752,763.75

If the quotient is a whole number, then 4 and 2,752,763.75 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 11,011,055
-1 11,011,055
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

151155200,2011,001,0052,202,21111,011,055
-1-5-11-55-200,201-1,001,005-2,202,211-11,011,055

More Examples

Here are some more numbers to try:

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