Q: What are the factor combinations of the number 12,388,655?

 A:
Positive:   1 x 123886555 x 247773129 x 427195145 x 85439
Negative: -1 x -12388655-5 x -2477731-29 x -427195-145 x -85439


How do I find the factor combinations of the number 12,388,655?

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 12,388,655, 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 12,388,655
-1 -12,388,655

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 12,388,655.

Example:
1 x 12,388,655 = 12,388,655
and
-1 x -12,388,655 = 12,388,655
Notice both answers equal 12,388,655

With that explanation out of the way, let's continue. Next, we take the number 12,388,655 and divide it by 2:

12,388,655 ÷ 2 = 6,194,327.5

If the quotient is a whole number, then 2 and 6,194,327.5 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 12,388,655
-1 -12,388,655

Now, we try dividing 12,388,655 by 3:

12,388,655 ÷ 3 = 4,129,551.6667

If the quotient is a whole number, then 3 and 4,129,551.6667 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 12,388,655
-1 -12,388,655

Let's try dividing by 4:

12,388,655 ÷ 4 = 3,097,163.75

If the quotient is a whole number, then 4 and 3,097,163.75 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 12,388,655
-1 12,388,655
Keep dividing by the next highest number until you cannot divide anymore.

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

152914585,439427,1952,477,73112,388,655
-1-5-29-145-85,439-427,195-2,477,731-12,388,655

More Examples

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