Q: What are the factor combinations of the number 12,443,459?

 A:
Positive:   1 x 124434597 x 177763741 x 303499191 x 65149227 x 54817287 x 433571337 x 93071589 x 7831
Negative: -1 x -12443459-7 x -1777637-41 x -303499-191 x -65149-227 x -54817-287 x -43357-1337 x -9307-1589 x -7831


How do I find the factor combinations of the number 12,443,459?

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 12,443,459, 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 12,443,459
-1 -12,443,459

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 12,443,459.

Example:
1 x 12,443,459 = 12,443,459
and
-1 x -12,443,459 = 12,443,459
Notice both answers equal 12,443,459

With that explanation out of the way, let's continue. Next, we take the number 12,443,459 and divide it by 2:

12,443,459 ÷ 2 = 6,221,729.5

If the quotient is a whole number, then 2 and 6,221,729.5 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 12,443,459
-1 -12,443,459

Now, we try dividing 12,443,459 by 3:

12,443,459 ÷ 3 = 4,147,819.6667

If the quotient is a whole number, then 3 and 4,147,819.6667 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 12,443,459
-1 -12,443,459

Let's try dividing by 4:

12,443,459 ÷ 4 = 3,110,864.75

If the quotient is a whole number, then 4 and 3,110,864.75 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 12,443,459
-1 12,443,459
Keep dividing by the next highest number until you cannot divide anymore.

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

17411912272871,3371,5897,8319,30743,35754,81765,149303,4991,777,63712,443,459
-1-7-41-191-227-287-1,337-1,589-7,831-9,307-43,357-54,817-65,149-303,499-1,777,637-12,443,459

More Examples

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