Q: What are the factor combinations of the number 600,680?

 A:
Positive:   1 x 6006802 x 3003404 x 1501705 x 1201368 x 7508510 x 6006820 x 3003440 x 15017
Negative: -1 x -600680-2 x -300340-4 x -150170-5 x -120136-8 x -75085-10 x -60068-20 x -30034-40 x -15017


How do I find the factor combinations of the number 600,680?

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 600,680, 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.

1 600,680
-1 -600,680

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 600,680.

Example:
1 x 600,680 = 600,680
and
-1 x -600,680 = 600,680
Notice both answers equal 600,680

With that explanation out of the way, let's continue. Next, we take the number 600,680 and divide it by 2:

600,680 ÷ 2 = 300,340

If the quotient is a whole number, then 2 and 300,340 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 2 300,340 600,680
-1 -2 -300,340 -600,680

Now, we try dividing 600,680 by 3:

600,680 ÷ 3 = 200,226.6667

If the quotient is a whole number, then 3 and 200,226.6667 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 2 300,340 600,680
-1 -2 -300,340 -600,680

Let's try dividing by 4:

600,680 ÷ 4 = 150,170

If the quotient is a whole number, then 4 and 150,170 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 4 150,170 300,340 600,680
-1 -2 -4 -150,170 -300,340 600,680
Keep dividing by the next highest number until you cannot divide anymore.

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

1245810204015,01730,03460,06875,085120,136150,170300,340600,680
-1-2-4-5-8-10-20-40-15,017-30,034-60,068-75,085-120,136-150,170-300,340-600,680

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 600,680:


Ask a Question