Q: What are the factor combinations of the number 23,927,567?

 A:
Positive:   1 x 2392756723 x 104032931 x 77185737 x 646691713 x 33559851 x 28117907 x 263811147 x 20861
Negative: -1 x -23927567-23 x -1040329-31 x -771857-37 x -646691-713 x -33559-851 x -28117-907 x -26381-1147 x -20861


How do I find the factor combinations of the number 23,927,567?

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 23,927,567, 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 23,927,567
-1 -23,927,567

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 23,927,567.

Example:
1 x 23,927,567 = 23,927,567
and
-1 x -23,927,567 = 23,927,567
Notice both answers equal 23,927,567

With that explanation out of the way, let's continue. Next, we take the number 23,927,567 and divide it by 2:

23,927,567 ÷ 2 = 11,963,783.5

If the quotient is a whole number, then 2 and 11,963,783.5 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 23,927,567
-1 -23,927,567

Now, we try dividing 23,927,567 by 3:

23,927,567 ÷ 3 = 7,975,855.6667

If the quotient is a whole number, then 3 and 7,975,855.6667 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 23,927,567
-1 -23,927,567

Let's try dividing by 4:

23,927,567 ÷ 4 = 5,981,891.75

If the quotient is a whole number, then 4 and 5,981,891.75 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 23,927,567
-1 23,927,567
Keep dividing by the next highest number until you cannot divide anymore.

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

12331377138519071,14720,86126,38128,11733,559646,691771,8571,040,32923,927,567
-1-23-31-37-713-851-907-1,147-20,861-26,381-28,117-33,559-646,691-771,857-1,040,329-23,927,567

More Examples

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