Q: What are the factor combinations of the number 11,027,107?

 A:
Positive:   1 x 110271077 x 157530113 x 84823949 x 22504391 x 121177343 x 32149637 x 173112473 x 4459
Negative: -1 x -11027107-7 x -1575301-13 x -848239-49 x -225043-91 x -121177-343 x -32149-637 x -17311-2473 x -4459


How do I find the factor combinations of the number 11,027,107?

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 11,027,107, 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 11,027,107
-1 -11,027,107

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 11,027,107.

Example:
1 x 11,027,107 = 11,027,107
and
-1 x -11,027,107 = 11,027,107
Notice both answers equal 11,027,107

With that explanation out of the way, let's continue. Next, we take the number 11,027,107 and divide it by 2:

11,027,107 ÷ 2 = 5,513,553.5

If the quotient is a whole number, then 2 and 5,513,553.5 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 11,027,107
-1 -11,027,107

Now, we try dividing 11,027,107 by 3:

11,027,107 ÷ 3 = 3,675,702.3333

If the quotient is a whole number, then 3 and 3,675,702.3333 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 11,027,107
-1 -11,027,107

Let's try dividing by 4:

11,027,107 ÷ 4 = 2,756,776.75

If the quotient is a whole number, then 4 and 2,756,776.75 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 11,027,107
-1 11,027,107
Keep dividing by the next highest number until you cannot divide anymore.

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

171349913436372,4734,45917,31132,149121,177225,043848,2391,575,30111,027,107
-1-7-13-49-91-343-637-2,473-4,459-17,311-32,149-121,177-225,043-848,239-1,575,301-11,027,107

More Examples

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