Q: What are the factor combinations of the number 24,133,435?

 A:
Positive:   1 x 241334355 x 482668737 x 65225573 x 330595185 x 130451365 x 661191787 x 135052701 x 8935
Negative: -1 x -24133435-5 x -4826687-37 x -652255-73 x -330595-185 x -130451-365 x -66119-1787 x -13505-2701 x -8935


How do I find the factor combinations of the number 24,133,435?

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 24,133,435, 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 24,133,435
-1 -24,133,435

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 24,133,435.

Example:
1 x 24,133,435 = 24,133,435
and
-1 x -24,133,435 = 24,133,435
Notice both answers equal 24,133,435

With that explanation out of the way, let's continue. Next, we take the number 24,133,435 and divide it by 2:

24,133,435 ÷ 2 = 12,066,717.5

If the quotient is a whole number, then 2 and 12,066,717.5 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 24,133,435
-1 -24,133,435

Now, we try dividing 24,133,435 by 3:

24,133,435 ÷ 3 = 8,044,478.3333

If the quotient is a whole number, then 3 and 8,044,478.3333 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 24,133,435
-1 -24,133,435

Let's try dividing by 4:

24,133,435 ÷ 4 = 6,033,358.75

If the quotient is a whole number, then 4 and 6,033,358.75 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 24,133,435
-1 24,133,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1537731853651,7872,7018,93513,50566,119130,451330,595652,2554,826,68724,133,435
-1-5-37-73-185-365-1,787-2,701-8,935-13,505-66,119-130,451-330,595-652,255-4,826,687-24,133,435

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,133,435:


Ask a Question