Q: What are the factor combinations of the number 12,936,385?

 A:
Positive:   1 x 129363855 x 25872777 x 184805511 x 117603535 x 36961155 x 23520777 x 168005385 x 33601
Negative: -1 x -12936385-5 x -2587277-7 x -1848055-11 x -1176035-35 x -369611-55 x -235207-77 x -168005-385 x -33601


How do I find the factor combinations of the number 12,936,385?

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 12,936,385, 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 12,936,385
-1 -12,936,385

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 12,936,385.

Example:
1 x 12,936,385 = 12,936,385
and
-1 x -12,936,385 = 12,936,385
Notice both answers equal 12,936,385

With that explanation out of the way, let's continue. Next, we take the number 12,936,385 and divide it by 2:

12,936,385 ÷ 2 = 6,468,192.5

If the quotient is a whole number, then 2 and 6,468,192.5 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 12,936,385
-1 -12,936,385

Now, we try dividing 12,936,385 by 3:

12,936,385 ÷ 3 = 4,312,128.3333

If the quotient is a whole number, then 3 and 4,312,128.3333 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 12,936,385
-1 -12,936,385

Let's try dividing by 4:

12,936,385 ÷ 4 = 3,234,096.25

If the quotient is a whole number, then 4 and 3,234,096.25 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 12,936,385
-1 12,936,385
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738533,601168,005235,207369,6111,176,0351,848,0552,587,27712,936,385
-1-5-7-11-35-55-77-385-33,601-168,005-235,207-369,611-1,176,035-1,848,055-2,587,277-12,936,385

More Examples

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