Q: What are the factor combinations of the number 335,939?

 A:
Positive:   1 x 33593919 x 17681
Negative: -1 x -335939-19 x -17681


How do I find the factor combinations of the number 335,939?

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 335,939, 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.

1 335,939
-1 -335,939

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 335,939.

Example:
1 x 335,939 = 335,939
and
-1 x -335,939 = 335,939
Notice both answers equal 335,939

With that explanation out of the way, let's continue. Next, we take the number 335,939 and divide it by 2:

335,939 ÷ 2 = 167,969.5

If the quotient is a whole number, then 2 and 167,969.5 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:

1 335,939
-1 -335,939

Now, we try dividing 335,939 by 3:

335,939 ÷ 3 = 111,979.6667

If the quotient is a whole number, then 3 and 111,979.6667 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:

1 335,939
-1 -335,939

Let's try dividing by 4:

335,939 ÷ 4 = 83,984.75

If the quotient is a whole number, then 4 and 83,984.75 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:

1 335,939
-1 335,939
Keep dividing by the next highest number until you cannot divide anymore.

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

11917,681335,939
-1-19-17,681-335,939

More Examples

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