Q: What are the factor combinations of the number 12,307,915?

 A:
Positive:   1 x 123079155 x 246158317 x 72399519 x 64778585 x 14479995 x 129557323 x 381051615 x 7621
Negative: -1 x -12307915-5 x -2461583-17 x -723995-19 x -647785-85 x -144799-95 x -129557-323 x -38105-1615 x -7621


How do I find the factor combinations of the number 12,307,915?

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 12,307,915, 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 12,307,915
-1 -12,307,915

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 12,307,915.

Example:
1 x 12,307,915 = 12,307,915
and
-1 x -12,307,915 = 12,307,915
Notice both answers equal 12,307,915

With that explanation out of the way, let's continue. Next, we take the number 12,307,915 and divide it by 2:

12,307,915 ÷ 2 = 6,153,957.5

If the quotient is a whole number, then 2 and 6,153,957.5 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 12,307,915
-1 -12,307,915

Now, we try dividing 12,307,915 by 3:

12,307,915 ÷ 3 = 4,102,638.3333

If the quotient is a whole number, then 3 and 4,102,638.3333 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 12,307,915
-1 -12,307,915

Let's try dividing by 4:

12,307,915 ÷ 4 = 3,076,978.75

If the quotient is a whole number, then 4 and 3,076,978.75 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 12,307,915
-1 12,307,915
Keep dividing by the next highest number until you cannot divide anymore.

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

15171985953231,6157,62138,105129,557144,799647,785723,9952,461,58312,307,915
-1-5-17-19-85-95-323-1,615-7,621-38,105-129,557-144,799-647,785-723,995-2,461,583-12,307,915

More Examples

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