Q: What are the factor combinations of the number 24,004,435?

 A:
Positive:   1 x 240044355 x 48008877 x 342920513 x 184649535 x 68584165 x 36929991 x 263785455 x 52757
Negative: -1 x -24004435-5 x -4800887-7 x -3429205-13 x -1846495-35 x -685841-65 x -369299-91 x -263785-455 x -52757


How do I find the factor combinations of the number 24,004,435?

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 24,004,435, 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 24,004,435
-1 -24,004,435

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 24,004,435.

Example:
1 x 24,004,435 = 24,004,435
and
-1 x -24,004,435 = 24,004,435
Notice both answers equal 24,004,435

With that explanation out of the way, let's continue. Next, we take the number 24,004,435 and divide it by 2:

24,004,435 ÷ 2 = 12,002,217.5

If the quotient is a whole number, then 2 and 12,002,217.5 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 24,004,435
-1 -24,004,435

Now, we try dividing 24,004,435 by 3:

24,004,435 ÷ 3 = 8,001,478.3333

If the quotient is a whole number, then 3 and 8,001,478.3333 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 24,004,435
-1 -24,004,435

Let's try dividing by 4:

24,004,435 ÷ 4 = 6,001,108.75

If the quotient is a whole number, then 4 and 6,001,108.75 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 24,004,435
-1 24,004,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1571335659145552,757263,785369,299685,8411,846,4953,429,2054,800,88724,004,435
-1-5-7-13-35-65-91-455-52,757-263,785-369,299-685,841-1,846,495-3,429,205-4,800,887-24,004,435

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,004,435:


Ask a Question