Q: What are the factor combinations of the number 1,080,799?

 A:
Positive:   1 x 108079979 x 13681
Negative: -1 x -1080799-79 x -13681


How do I find the factor combinations of the number 1,080,799?

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 1,080,799, 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 1,080,799
-1 -1,080,799

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 1,080,799.

Example:
1 x 1,080,799 = 1,080,799
and
-1 x -1,080,799 = 1,080,799
Notice both answers equal 1,080,799

With that explanation out of the way, let's continue. Next, we take the number 1,080,799 and divide it by 2:

1,080,799 ÷ 2 = 540,399.5

If the quotient is a whole number, then 2 and 540,399.5 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 1,080,799
-1 -1,080,799

Now, we try dividing 1,080,799 by 3:

1,080,799 ÷ 3 = 360,266.3333

If the quotient is a whole number, then 3 and 360,266.3333 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 1,080,799
-1 -1,080,799

Let's try dividing by 4:

1,080,799 ÷ 4 = 270,199.75

If the quotient is a whole number, then 4 and 270,199.75 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 1,080,799
-1 1,080,799
Keep dividing by the next highest number until you cannot divide anymore.

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

17913,6811,080,799
-1-79-13,681-1,080,799

More Examples

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