Q: What are the factor combinations of the number 23,848,685?

 A:
Positive:   1 x 238486855 x 47697377 x 340695535 x 68139159 x 404215295 x 80843413 x 577452065 x 11549
Negative: -1 x -23848685-5 x -4769737-7 x -3406955-35 x -681391-59 x -404215-295 x -80843-413 x -57745-2065 x -11549


How do I find the factor combinations of the number 23,848,685?

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 23,848,685, 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 23,848,685
-1 -23,848,685

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 23,848,685.

Example:
1 x 23,848,685 = 23,848,685
and
-1 x -23,848,685 = 23,848,685
Notice both answers equal 23,848,685

With that explanation out of the way, let's continue. Next, we take the number 23,848,685 and divide it by 2:

23,848,685 ÷ 2 = 11,924,342.5

If the quotient is a whole number, then 2 and 11,924,342.5 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 23,848,685
-1 -23,848,685

Now, we try dividing 23,848,685 by 3:

23,848,685 ÷ 3 = 7,949,561.6667

If the quotient is a whole number, then 3 and 7,949,561.6667 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 23,848,685
-1 -23,848,685

Let's try dividing by 4:

23,848,685 ÷ 4 = 5,962,171.25

If the quotient is a whole number, then 4 and 5,962,171.25 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 23,848,685
-1 23,848,685
Keep dividing by the next highest number until you cannot divide anymore.

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

15735592954132,06511,54957,74580,843404,215681,3913,406,9554,769,73723,848,685
-1-5-7-35-59-295-413-2,065-11,549-57,745-80,843-404,215-681,391-3,406,955-4,769,737-23,848,685

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 23,848,685:


Ask a Question