Q: What are the factor combinations of the number 343,439?

 A:
Positive:   1 x 34343959 x 5821
Negative: -1 x -343439-59 x -5821


How do I find the factor combinations of the number 343,439?

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 343,439, 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.

1 343,439
-1 -343,439

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 343,439.

Example:
1 x 343,439 = 343,439
and
-1 x -343,439 = 343,439
Notice both answers equal 343,439

With that explanation out of the way, let's continue. Next, we take the number 343,439 and divide it by 2:

343,439 ÷ 2 = 171,719.5

If the quotient is a whole number, then 2 and 171,719.5 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:

1 343,439
-1 -343,439

Now, we try dividing 343,439 by 3:

343,439 ÷ 3 = 114,479.6667

If the quotient is a whole number, then 3 and 114,479.6667 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:

1 343,439
-1 -343,439

Let's try dividing by 4:

343,439 ÷ 4 = 85,859.75

If the quotient is a whole number, then 4 and 85,859.75 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:

1 343,439
-1 343,439
Keep dividing by the next highest number until you cannot divide anymore.

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

1595,821343,439
-1-59-5,821-343,439

More Examples

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