Q: What are the factor combinations of the number 1,090,817?

 A:
Positive:   1 x 10908177 x 15583113 x 8390991 x 11987
Negative: -1 x -1090817-7 x -155831-13 x -83909-91 x -11987


How do I find the factor combinations of the number 1,090,817?

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 1,090,817, 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 1,090,817
-1 -1,090,817

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 1,090,817.

Example:
1 x 1,090,817 = 1,090,817
and
-1 x -1,090,817 = 1,090,817
Notice both answers equal 1,090,817

With that explanation out of the way, let's continue. Next, we take the number 1,090,817 and divide it by 2:

1,090,817 ÷ 2 = 545,408.5

If the quotient is a whole number, then 2 and 545,408.5 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 1,090,817
-1 -1,090,817

Now, we try dividing 1,090,817 by 3:

1,090,817 ÷ 3 = 363,605.6667

If the quotient is a whole number, then 3 and 363,605.6667 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 1,090,817
-1 -1,090,817

Let's try dividing by 4:

1,090,817 ÷ 4 = 272,704.25

If the quotient is a whole number, then 4 and 272,704.25 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 1,090,817
-1 1,090,817
Keep dividing by the next highest number until you cannot divide anymore.

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

17139111,98783,909155,8311,090,817
-1-7-13-91-11,987-83,909-155,831-1,090,817

More Examples

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