Q: What are the factor combinations of the number 24,324,503?

 A:
Positive:   1 x 243245037 x 347492919 x 128023737 x 657419133 x 182891259 x 93917703 x 346014921 x 4943
Negative: -1 x -24324503-7 x -3474929-19 x -1280237-37 x -657419-133 x -182891-259 x -93917-703 x -34601-4921 x -4943


How do I find the factor combinations of the number 24,324,503?

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 24,324,503, 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 24,324,503
-1 -24,324,503

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 24,324,503.

Example:
1 x 24,324,503 = 24,324,503
and
-1 x -24,324,503 = 24,324,503
Notice both answers equal 24,324,503

With that explanation out of the way, let's continue. Next, we take the number 24,324,503 and divide it by 2:

24,324,503 ÷ 2 = 12,162,251.5

If the quotient is a whole number, then 2 and 12,162,251.5 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 24,324,503
-1 -24,324,503

Now, we try dividing 24,324,503 by 3:

24,324,503 ÷ 3 = 8,108,167.6667

If the quotient is a whole number, then 3 and 8,108,167.6667 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 24,324,503
-1 -24,324,503

Let's try dividing by 4:

24,324,503 ÷ 4 = 6,081,125.75

If the quotient is a whole number, then 4 and 6,081,125.75 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 24,324,503
-1 24,324,503
Keep dividing by the next highest number until you cannot divide anymore.

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

1719371332597034,9214,94334,60193,917182,891657,4191,280,2373,474,92924,324,503
-1-7-19-37-133-259-703-4,921-4,943-34,601-93,917-182,891-657,419-1,280,237-3,474,929-24,324,503

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,324,503:


Ask a Question