Q: What are the factor combinations of the number 27,627,665?

 A:
Positive:   1 x 276276655 x 552553313 x 212520531 x 89121565 x 425041155 x 178243403 x 685552015 x 13711
Negative: -1 x -27627665-5 x -5525533-13 x -2125205-31 x -891215-65 x -425041-155 x -178243-403 x -68555-2015 x -13711


How do I find the factor combinations of the number 27,627,665?

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 27,627,665, 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 27,627,665
-1 -27,627,665

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 27,627,665.

Example:
1 x 27,627,665 = 27,627,665
and
-1 x -27,627,665 = 27,627,665
Notice both answers equal 27,627,665

With that explanation out of the way, let's continue. Next, we take the number 27,627,665 and divide it by 2:

27,627,665 ÷ 2 = 13,813,832.5

If the quotient is a whole number, then 2 and 13,813,832.5 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 27,627,665
-1 -27,627,665

Now, we try dividing 27,627,665 by 3:

27,627,665 ÷ 3 = 9,209,221.6667

If the quotient is a whole number, then 3 and 9,209,221.6667 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 27,627,665
-1 -27,627,665

Let's try dividing by 4:

27,627,665 ÷ 4 = 6,906,916.25

If the quotient is a whole number, then 4 and 6,906,916.25 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 27,627,665
-1 27,627,665
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651554032,01513,71168,555178,243425,041891,2152,125,2055,525,53327,627,665
-1-5-13-31-65-155-403-2,015-13,711-68,555-178,243-425,041-891,215-2,125,205-5,525,533-27,627,665

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