Q: What are the factor combinations of the number 12,084,709?

 A:
Positive:   1 x 120847097 x 172638713 x 92959341 x 29474979 x 15297191 x 132799287 x 42107533 x 22673553 x 218531027 x 117671681 x 71893239 x 3731
Negative: -1 x -12084709-7 x -1726387-13 x -929593-41 x -294749-79 x -152971-91 x -132799-287 x -42107-533 x -22673-553 x -21853-1027 x -11767-1681 x -7189-3239 x -3731


How do I find the factor combinations of the number 12,084,709?

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 12,084,709, 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 12,084,709
-1 -12,084,709

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 12,084,709.

Example:
1 x 12,084,709 = 12,084,709
and
-1 x -12,084,709 = 12,084,709
Notice both answers equal 12,084,709

With that explanation out of the way, let's continue. Next, we take the number 12,084,709 and divide it by 2:

12,084,709 ÷ 2 = 6,042,354.5

If the quotient is a whole number, then 2 and 6,042,354.5 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 12,084,709
-1 -12,084,709

Now, we try dividing 12,084,709 by 3:

12,084,709 ÷ 3 = 4,028,236.3333

If the quotient is a whole number, then 3 and 4,028,236.3333 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 12,084,709
-1 -12,084,709

Let's try dividing by 4:

12,084,709 ÷ 4 = 3,021,177.25

If the quotient is a whole number, then 4 and 3,021,177.25 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 12,084,709
-1 12,084,709
Keep dividing by the next highest number until you cannot divide anymore.

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

17134179912875335531,0271,6813,2393,7317,18911,76721,85322,67342,107132,799152,971294,749929,5931,726,38712,084,709
-1-7-13-41-79-91-287-533-553-1,027-1,681-3,239-3,731-7,189-11,767-21,853-22,673-42,107-132,799-152,971-294,749-929,593-1,726,387-12,084,709

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 12,084,709:


Ask a Question