Q: What are the factor combinations of the number 12,468,809?

 A:
Positive:   1 x 124688092741 x 4549
Negative: -1 x -12468809-2741 x -4549


How do I find the factor combinations of the number 12,468,809?

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 12,468,809, 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 12,468,809
-1 -12,468,809

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 12,468,809.

Example:
1 x 12,468,809 = 12,468,809
and
-1 x -12,468,809 = 12,468,809
Notice both answers equal 12,468,809

With that explanation out of the way, let's continue. Next, we take the number 12,468,809 and divide it by 2:

12,468,809 ÷ 2 = 6,234,404.5

If the quotient is a whole number, then 2 and 6,234,404.5 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 12,468,809
-1 -12,468,809

Now, we try dividing 12,468,809 by 3:

12,468,809 ÷ 3 = 4,156,269.6667

If the quotient is a whole number, then 3 and 4,156,269.6667 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 12,468,809
-1 -12,468,809

Let's try dividing by 4:

12,468,809 ÷ 4 = 3,117,202.25

If the quotient is a whole number, then 4 and 3,117,202.25 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 12,468,809
-1 12,468,809
Keep dividing by the next highest number until you cannot divide anymore.

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

12,7414,54912,468,809
-1-2,741-4,549-12,468,809

More Examples

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