Q: What are the factor combinations of the number 12,326,765?

 A:
Positive:   1 x 123267655 x 246535311 x 112061555 x 22412379 x 156035395 x 31207869 x 141852837 x 4345
Negative: -1 x -12326765-5 x -2465353-11 x -1120615-55 x -224123-79 x -156035-395 x -31207-869 x -14185-2837 x -4345


How do I find the factor combinations of the number 12,326,765?

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 12,326,765, 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 12,326,765
-1 -12,326,765

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 12,326,765.

Example:
1 x 12,326,765 = 12,326,765
and
-1 x -12,326,765 = 12,326,765
Notice both answers equal 12,326,765

With that explanation out of the way, let's continue. Next, we take the number 12,326,765 and divide it by 2:

12,326,765 ÷ 2 = 6,163,382.5

If the quotient is a whole number, then 2 and 6,163,382.5 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 12,326,765
-1 -12,326,765

Now, we try dividing 12,326,765 by 3:

12,326,765 ÷ 3 = 4,108,921.6667

If the quotient is a whole number, then 3 and 4,108,921.6667 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 12,326,765
-1 -12,326,765

Let's try dividing by 4:

12,326,765 ÷ 4 = 3,081,691.25

If the quotient is a whole number, then 4 and 3,081,691.25 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 12,326,765
-1 12,326,765
Keep dividing by the next highest number until you cannot divide anymore.

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

151155793958692,8374,34514,18531,207156,035224,1231,120,6152,465,35312,326,765
-1-5-11-55-79-395-869-2,837-4,345-14,185-31,207-156,035-224,123-1,120,615-2,465,353-12,326,765

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 12,326,765:


Ask a Question