Q: What are the factor combinations of the number 27,388,747?

 A:
Positive:   1 x 2738874719 x 144151371 x 38575779 x 346693257 x 1065711349 x 203031501 x 182474883 x 5609
Negative: -1 x -27388747-19 x -1441513-71 x -385757-79 x -346693-257 x -106571-1349 x -20303-1501 x -18247-4883 x -5609


How do I find the factor combinations of the number 27,388,747?

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 27,388,747, 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 27,388,747
-1 -27,388,747

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 27,388,747.

Example:
1 x 27,388,747 = 27,388,747
and
-1 x -27,388,747 = 27,388,747
Notice both answers equal 27,388,747

With that explanation out of the way, let's continue. Next, we take the number 27,388,747 and divide it by 2:

27,388,747 ÷ 2 = 13,694,373.5

If the quotient is a whole number, then 2 and 13,694,373.5 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 27,388,747
-1 -27,388,747

Now, we try dividing 27,388,747 by 3:

27,388,747 ÷ 3 = 9,129,582.3333

If the quotient is a whole number, then 3 and 9,129,582.3333 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 27,388,747
-1 -27,388,747

Let's try dividing by 4:

27,388,747 ÷ 4 = 6,847,186.75

If the quotient is a whole number, then 4 and 6,847,186.75 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 27,388,747
-1 27,388,747
Keep dividing by the next highest number until you cannot divide anymore.

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

11971792571,3491,5014,8835,60918,24720,303106,571346,693385,7571,441,51327,388,747
-1-19-71-79-257-1,349-1,501-4,883-5,609-18,247-20,303-106,571-346,693-385,757-1,441,513-27,388,747

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