Q: What are the factor combinations of the number 12,926,023?

 A:
Positive:   1 x 1292602311 x 117509319 x 68031723 x 562001209 x 61847253 x 51091437 x 295792689 x 4807
Negative: -1 x -12926023-11 x -1175093-19 x -680317-23 x -562001-209 x -61847-253 x -51091-437 x -29579-2689 x -4807


How do I find the factor combinations of the number 12,926,023?

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 12,926,023, 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 12,926,023
-1 -12,926,023

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 12,926,023.

Example:
1 x 12,926,023 = 12,926,023
and
-1 x -12,926,023 = 12,926,023
Notice both answers equal 12,926,023

With that explanation out of the way, let's continue. Next, we take the number 12,926,023 and divide it by 2:

12,926,023 ÷ 2 = 6,463,011.5

If the quotient is a whole number, then 2 and 6,463,011.5 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 12,926,023
-1 -12,926,023

Now, we try dividing 12,926,023 by 3:

12,926,023 ÷ 3 = 4,308,674.3333

If the quotient is a whole number, then 3 and 4,308,674.3333 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 12,926,023
-1 -12,926,023

Let's try dividing by 4:

12,926,023 ÷ 4 = 3,231,505.75

If the quotient is a whole number, then 4 and 3,231,505.75 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 12,926,023
-1 12,926,023
Keep dividing by the next highest number until you cannot divide anymore.

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

11119232092534372,6894,80729,57951,09161,847562,001680,3171,175,09312,926,023
-1-11-19-23-209-253-437-2,689-4,807-29,579-51,091-61,847-562,001-680,317-1,175,093-12,926,023

More Examples

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