Q: What are the factor combinations of the number 839,032?

How do I find the factor combinations of the number 839,032?

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 839,032, 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		839,032
-1		-839,032

With that explanation out of the way, let's continue. Next, we take the number 839,032 and divide it by 2:

839,032 ÷ 2 = 419,516

If the quotient is a whole number, then 2 and 419,516 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:

Now, we try dividing 839,032 by 3:

839,032 ÷ 3 = 279,677.3333

If the quotient is a whole number, then 3 and 279,677.3333 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:

Let's try dividing by 4:

839,032 ÷ 4 = 209,758

If the quotient is a whole number, then 4 and 209,758 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:

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

More Examples

Here are some more numbers to try:

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