Q: What are the factor combinations of the number 24,534,683?

 A:
Positive:   1 x 24534683223 x 110021269 x 91207409 x 59987
Negative: -1 x -24534683-223 x -110021-269 x -91207-409 x -59987


How do I find the factor combinations of the number 24,534,683?

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 24,534,683, 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 24,534,683
-1 -24,534,683

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 24,534,683.

Example:
1 x 24,534,683 = 24,534,683
and
-1 x -24,534,683 = 24,534,683
Notice both answers equal 24,534,683

With that explanation out of the way, let's continue. Next, we take the number 24,534,683 and divide it by 2:

24,534,683 ÷ 2 = 12,267,341.5

If the quotient is a whole number, then 2 and 12,267,341.5 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 24,534,683
-1 -24,534,683

Now, we try dividing 24,534,683 by 3:

24,534,683 ÷ 3 = 8,178,227.6667

If the quotient is a whole number, then 3 and 8,178,227.6667 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 24,534,683
-1 -24,534,683

Let's try dividing by 4:

24,534,683 ÷ 4 = 6,133,670.75

If the quotient is a whole number, then 4 and 6,133,670.75 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 24,534,683
-1 24,534,683
Keep dividing by the next highest number until you cannot divide anymore.

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

122326940959,98791,207110,02124,534,683
-1-223-269-409-59,987-91,207-110,021-24,534,683

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,534,683:


Ask a Question