Q: What are the factor combinations of the number 5,605,327?

 A:
Positive:   1 x 56053277 x 80076113 x 43117931 x 18081791 x 61597217 x 25831403 x 139091987 x 2821
Negative: -1 x -5605327-7 x -800761-13 x -431179-31 x -180817-91 x -61597-217 x -25831-403 x -13909-1987 x -2821


How do I find the factor combinations of the number 5,605,327?

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 5,605,327, 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 5,605,327
-1 -5,605,327

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 5,605,327.

Example:
1 x 5,605,327 = 5,605,327
and
-1 x -5,605,327 = 5,605,327
Notice both answers equal 5,605,327

With that explanation out of the way, let's continue. Next, we take the number 5,605,327 and divide it by 2:

5,605,327 ÷ 2 = 2,802,663.5

If the quotient is a whole number, then 2 and 2,802,663.5 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 5,605,327
-1 -5,605,327

Now, we try dividing 5,605,327 by 3:

5,605,327 ÷ 3 = 1,868,442.3333

If the quotient is a whole number, then 3 and 1,868,442.3333 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 5,605,327
-1 -5,605,327

Let's try dividing by 4:

5,605,327 ÷ 4 = 1,401,331.75

If the quotient is a whole number, then 4 and 1,401,331.75 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 5,605,327
-1 5,605,327
Keep dividing by the next highest number until you cannot divide anymore.

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

171331912174031,9872,82113,90925,83161,597180,817431,179800,7615,605,327
-1-7-13-31-91-217-403-1,987-2,821-13,909-25,831-61,597-180,817-431,179-800,761-5,605,327

More Examples

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