Q: What are the factor combinations of the number 12,231,605?

 A:
Positive:   1 x 122316055 x 244632153 x 230785101 x 121105265 x 46157457 x 26765505 x 242212285 x 5353
Negative: -1 x -12231605-5 x -2446321-53 x -230785-101 x -121105-265 x -46157-457 x -26765-505 x -24221-2285 x -5353


How do I find the factor combinations of the number 12,231,605?

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 12,231,605, 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 12,231,605
-1 -12,231,605

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 12,231,605.

Example:
1 x 12,231,605 = 12,231,605
and
-1 x -12,231,605 = 12,231,605
Notice both answers equal 12,231,605

With that explanation out of the way, let's continue. Next, we take the number 12,231,605 and divide it by 2:

12,231,605 ÷ 2 = 6,115,802.5

If the quotient is a whole number, then 2 and 6,115,802.5 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 12,231,605
-1 -12,231,605

Now, we try dividing 12,231,605 by 3:

12,231,605 ÷ 3 = 4,077,201.6667

If the quotient is a whole number, then 3 and 4,077,201.6667 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 12,231,605
-1 -12,231,605

Let's try dividing by 4:

12,231,605 ÷ 4 = 3,057,901.25

If the quotient is a whole number, then 4 and 3,057,901.25 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 12,231,605
-1 12,231,605
Keep dividing by the next highest number until you cannot divide anymore.

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

15531012654575052,2855,35324,22126,76546,157121,105230,7852,446,32112,231,605
-1-5-53-101-265-457-505-2,285-5,353-24,221-26,765-46,157-121,105-230,785-2,446,321-12,231,605

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 12,231,605:


Ask a Question