Q: What are the factor combinations of the number 11,128,843?

 A:
Positive:   1 x 1112884311 x 1011713131 x 849531441 x 7723
Negative: -1 x -11128843-11 x -1011713-131 x -84953-1441 x -7723


How do I find the factor combinations of the number 11,128,843?

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 11,128,843, 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 11,128,843
-1 -11,128,843

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 11,128,843.

Example:
1 x 11,128,843 = 11,128,843
and
-1 x -11,128,843 = 11,128,843
Notice both answers equal 11,128,843

With that explanation out of the way, let's continue. Next, we take the number 11,128,843 and divide it by 2:

11,128,843 ÷ 2 = 5,564,421.5

If the quotient is a whole number, then 2 and 5,564,421.5 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 11,128,843
-1 -11,128,843

Now, we try dividing 11,128,843 by 3:

11,128,843 ÷ 3 = 3,709,614.3333

If the quotient is a whole number, then 3 and 3,709,614.3333 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 11,128,843
-1 -11,128,843

Let's try dividing by 4:

11,128,843 ÷ 4 = 2,782,210.75

If the quotient is a whole number, then 4 and 2,782,210.75 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 11,128,843
-1 11,128,843
Keep dividing by the next highest number until you cannot divide anymore.

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

1111311,4417,72384,9531,011,71311,128,843
-1-11-131-1,441-7,723-84,953-1,011,713-11,128,843

More Examples

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