Q: What are the factor combinations of the number 11,723,239?

 A:
Positive:   1 x 1172323911 x 106574931 x 378169341 x 34379961 x 121991109 x 10571
Negative: -1 x -11723239-11 x -1065749-31 x -378169-341 x -34379-961 x -12199-1109 x -10571


How do I find the factor combinations of the number 11,723,239?

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 11,723,239, 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 11,723,239
-1 -11,723,239

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 11,723,239.

Example:
1 x 11,723,239 = 11,723,239
and
-1 x -11,723,239 = 11,723,239
Notice both answers equal 11,723,239

With that explanation out of the way, let's continue. Next, we take the number 11,723,239 and divide it by 2:

11,723,239 ÷ 2 = 5,861,619.5

If the quotient is a whole number, then 2 and 5,861,619.5 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 11,723,239
-1 -11,723,239

Now, we try dividing 11,723,239 by 3:

11,723,239 ÷ 3 = 3,907,746.3333

If the quotient is a whole number, then 3 and 3,907,746.3333 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 11,723,239
-1 -11,723,239

Let's try dividing by 4:

11,723,239 ÷ 4 = 2,930,809.75

If the quotient is a whole number, then 4 and 2,930,809.75 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 11,723,239
-1 11,723,239
Keep dividing by the next highest number until you cannot divide anymore.

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

111313419611,10910,57112,19934,379378,1691,065,74911,723,239
-1-11-31-341-961-1,109-10,571-12,199-34,379-378,169-1,065,749-11,723,239

More Examples

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