Q: What are the factor combinations of the number 581,832?

 A:
Positive:   1 x 5818322 x 2909163 x 1939444 x 1454586 x 969728 x 727299 x 6464812 x 4848618 x 3232424 x 2424336 x 1616272 x 8081
Negative: -1 x -581832-2 x -290916-3 x -193944-4 x -145458-6 x -96972-8 x -72729-9 x -64648-12 x -48486-18 x -32324-24 x -24243-36 x -16162-72 x -8081


How do I find the factor combinations of the number 581,832?

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 581,832, 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.

1 581,832
-1 -581,832

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 581,832.

Example:
1 x 581,832 = 581,832
and
-1 x -581,832 = 581,832
Notice both answers equal 581,832

With that explanation out of the way, let's continue. Next, we take the number 581,832 and divide it by 2:

581,832 ÷ 2 = 290,916

If the quotient is a whole number, then 2 and 290,916 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 290,916 581,832
-1 -2 -290,916 -581,832

Now, we try dividing 581,832 by 3:

581,832 ÷ 3 = 193,944

If the quotient is a whole number, then 3 and 193,944 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 193,944 290,916 581,832
-1 -2 -3 -193,944 -290,916 -581,832

Let's try dividing by 4:

581,832 ÷ 4 = 145,458

If the quotient is a whole number, then 4 and 145,458 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 145,458 193,944 290,916 581,832
-1 -2 -3 -4 -145,458 -193,944 -290,916 581,832
Keep dividing by the next highest number until you cannot divide anymore.

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

123468912182436728,08116,16224,24332,32448,48664,64872,72996,972145,458193,944290,916581,832
-1-2-3-4-6-8-9-12-18-24-36-72-8,081-16,162-24,243-32,324-48,486-64,648-72,729-96,972-145,458-193,944-290,916-581,832

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 581,832:


Ask a Question