Q: What are the factor combinations of the number 8,218,327?

 A:
Positive:   1 x 821832713 x 63217917 x 48343141 x 200447221 x 37187533 x 15419697 x 11791907 x 9061
Negative: -1 x -8218327-13 x -632179-17 x -483431-41 x -200447-221 x -37187-533 x -15419-697 x -11791-907 x -9061


How do I find the factor combinations of the number 8,218,327?

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 8,218,327, 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 8,218,327
-1 -8,218,327

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 8,218,327.

Example:
1 x 8,218,327 = 8,218,327
and
-1 x -8,218,327 = 8,218,327
Notice both answers equal 8,218,327

With that explanation out of the way, let's continue. Next, we take the number 8,218,327 and divide it by 2:

8,218,327 ÷ 2 = 4,109,163.5

If the quotient is a whole number, then 2 and 4,109,163.5 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 8,218,327
-1 -8,218,327

Now, we try dividing 8,218,327 by 3:

8,218,327 ÷ 3 = 2,739,442.3333

If the quotient is a whole number, then 3 and 2,739,442.3333 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 8,218,327
-1 -8,218,327

Let's try dividing by 4:

8,218,327 ÷ 4 = 2,054,581.75

If the quotient is a whole number, then 4 and 2,054,581.75 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 8,218,327
-1 8,218,327
Keep dividing by the next highest number until you cannot divide anymore.

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

11317412215336979079,06111,79115,41937,187200,447483,431632,1798,218,327
-1-13-17-41-221-533-697-907-9,061-11,791-15,419-37,187-200,447-483,431-632,179-8,218,327

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