Q: What are the factor combinations of the number 24,133,439?

 A:
Positive:   1 x 2413343911 x 219394919 x 1270181209 x 115471
Negative: -1 x -24133439-11 x -2193949-19 x -1270181-209 x -115471


How do I find the factor combinations of the number 24,133,439?

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 24,133,439, 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 24,133,439
-1 -24,133,439

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 24,133,439.

Example:
1 x 24,133,439 = 24,133,439
and
-1 x -24,133,439 = 24,133,439
Notice both answers equal 24,133,439

With that explanation out of the way, let's continue. Next, we take the number 24,133,439 and divide it by 2:

24,133,439 ÷ 2 = 12,066,719.5

If the quotient is a whole number, then 2 and 12,066,719.5 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 24,133,439
-1 -24,133,439

Now, we try dividing 24,133,439 by 3:

24,133,439 ÷ 3 = 8,044,479.6667

If the quotient is a whole number, then 3 and 8,044,479.6667 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 24,133,439
-1 -24,133,439

Let's try dividing by 4:

24,133,439 ÷ 4 = 6,033,359.75

If the quotient is a whole number, then 4 and 6,033,359.75 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 24,133,439
-1 24,133,439
Keep dividing by the next highest number until you cannot divide anymore.

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

11119209115,4711,270,1812,193,94924,133,439
-1-11-19-209-115,471-1,270,181-2,193,949-24,133,439

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,133,439:


Ask a Question