Q: What are the factor combinations of the number 24,040,553?

 A:
Positive:   1 x 2404055359 x 407467277 x 867891471 x 16343
Negative: -1 x -24040553-59 x -407467-277 x -86789-1471 x -16343


How do I find the factor combinations of the number 24,040,553?

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 24,040,553, 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 24,040,553
-1 -24,040,553

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 24,040,553.

Example:
1 x 24,040,553 = 24,040,553
and
-1 x -24,040,553 = 24,040,553
Notice both answers equal 24,040,553

With that explanation out of the way, let's continue. Next, we take the number 24,040,553 and divide it by 2:

24,040,553 ÷ 2 = 12,020,276.5

If the quotient is a whole number, then 2 and 12,020,276.5 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 24,040,553
-1 -24,040,553

Now, we try dividing 24,040,553 by 3:

24,040,553 ÷ 3 = 8,013,517.6667

If the quotient is a whole number, then 3 and 8,013,517.6667 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 24,040,553
-1 -24,040,553

Let's try dividing by 4:

24,040,553 ÷ 4 = 6,010,138.25

If the quotient is a whole number, then 4 and 6,010,138.25 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 24,040,553
-1 24,040,553
Keep dividing by the next highest number until you cannot divide anymore.

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

1592771,47116,34386,789407,46724,040,553
-1-59-277-1,471-16,343-86,789-407,467-24,040,553

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,040,553:


Ask a Question