Q: What are the factor combinations of the number 12,323,011?

 A:
Positive:   1 x 1232301117 x 724883347 x 355132089 x 5899
Negative: -1 x -12323011-17 x -724883-347 x -35513-2089 x -5899


How do I find the factor combinations of the number 12,323,011?

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 12,323,011, 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 12,323,011
-1 -12,323,011

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 12,323,011.

Example:
1 x 12,323,011 = 12,323,011
and
-1 x -12,323,011 = 12,323,011
Notice both answers equal 12,323,011

With that explanation out of the way, let's continue. Next, we take the number 12,323,011 and divide it by 2:

12,323,011 ÷ 2 = 6,161,505.5

If the quotient is a whole number, then 2 and 6,161,505.5 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 12,323,011
-1 -12,323,011

Now, we try dividing 12,323,011 by 3:

12,323,011 ÷ 3 = 4,107,670.3333

If the quotient is a whole number, then 3 and 4,107,670.3333 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 12,323,011
-1 -12,323,011

Let's try dividing by 4:

12,323,011 ÷ 4 = 3,080,752.75

If the quotient is a whole number, then 4 and 3,080,752.75 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 12,323,011
-1 12,323,011
Keep dividing by the next highest number until you cannot divide anymore.

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

1173472,0895,89935,513724,88312,323,011
-1-17-347-2,089-5,899-35,513-724,883-12,323,011

More Examples

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