Q: What are the factor combinations of the number 5,434,339?

 A:
Positive:   1 x 543433917 x 31966729 x 18739173 x 74443151 x 35989493 x 110231241 x 43792117 x 2567
Negative: -1 x -5434339-17 x -319667-29 x -187391-73 x -74443-151 x -35989-493 x -11023-1241 x -4379-2117 x -2567


How do I find the factor combinations of the number 5,434,339?

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 5,434,339, 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 5,434,339
-1 -5,434,339

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 5,434,339.

Example:
1 x 5,434,339 = 5,434,339
and
-1 x -5,434,339 = 5,434,339
Notice both answers equal 5,434,339

With that explanation out of the way, let's continue. Next, we take the number 5,434,339 and divide it by 2:

5,434,339 ÷ 2 = 2,717,169.5

If the quotient is a whole number, then 2 and 2,717,169.5 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 5,434,339
-1 -5,434,339

Now, we try dividing 5,434,339 by 3:

5,434,339 ÷ 3 = 1,811,446.3333

If the quotient is a whole number, then 3 and 1,811,446.3333 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:

1 5,434,339
-1 -5,434,339

Let's try dividing by 4:

5,434,339 ÷ 4 = 1,358,584.75

If the quotient is a whole number, then 4 and 1,358,584.75 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 5,434,339
-1 5,434,339
Keep dividing by the next highest number until you cannot divide anymore.

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

11729731514931,2412,1172,5674,37911,02335,98974,443187,391319,6675,434,339
-1-17-29-73-151-493-1,241-2,117-2,567-4,379-11,023-35,989-74,443-187,391-319,667-5,434,339

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,434,339:


Ask a Question