Q: What are the factor combinations of the number 12,442,339?

 A:
Positive:   1 x 124423397 x 177747713 x 95710373 x 17044391 x 136729511 x 24349949 x 131111873 x 6643
Negative: -1 x -12442339-7 x -1777477-13 x -957103-73 x -170443-91 x -136729-511 x -24349-949 x -13111-1873 x -6643


How do I find the factor combinations of the number 12,442,339?

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 12,442,339, 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 12,442,339
-1 -12,442,339

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 12,442,339.

Example:
1 x 12,442,339 = 12,442,339
and
-1 x -12,442,339 = 12,442,339
Notice both answers equal 12,442,339

With that explanation out of the way, let's continue. Next, we take the number 12,442,339 and divide it by 2:

12,442,339 ÷ 2 = 6,221,169.5

If the quotient is a whole number, then 2 and 6,221,169.5 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 12,442,339
-1 -12,442,339

Now, we try dividing 12,442,339 by 3:

12,442,339 ÷ 3 = 4,147,446.3333

If the quotient is a whole number, then 3 and 4,147,446.3333 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 12,442,339
-1 -12,442,339

Let's try dividing by 4:

12,442,339 ÷ 4 = 3,110,584.75

If the quotient is a whole number, then 4 and 3,110,584.75 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 12,442,339
-1 12,442,339
Keep dividing by the next highest number until you cannot divide anymore.

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

171373915119491,8736,64313,11124,349136,729170,443957,1031,777,47712,442,339
-1-7-13-73-91-511-949-1,873-6,643-13,111-24,349-136,729-170,443-957,103-1,777,477-12,442,339

More Examples

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