Q: What are the factor combinations of the number 605,317?

 A:
Positive:   1 x 60531729 x 20873
Negative: -1 x -605317-29 x -20873


How do I find the factor combinations of the number 605,317?

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 605,317, 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.

1 605,317
-1 -605,317

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 605,317.

Example:
1 x 605,317 = 605,317
and
-1 x -605,317 = 605,317
Notice both answers equal 605,317

With that explanation out of the way, let's continue. Next, we take the number 605,317 and divide it by 2:

605,317 ÷ 2 = 302,658.5

If the quotient is a whole number, then 2 and 302,658.5 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:

1 605,317
-1 -605,317

Now, we try dividing 605,317 by 3:

605,317 ÷ 3 = 201,772.3333

If the quotient is a whole number, then 3 and 201,772.3333 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:

1 605,317
-1 -605,317

Let's try dividing by 4:

605,317 ÷ 4 = 151,329.25

If the quotient is a whole number, then 4 and 151,329.25 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:

1 605,317
-1 605,317
Keep dividing by the next highest number until you cannot divide anymore.

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

12920,873605,317
-1-29-20,873-605,317

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 605,317:


Ask a Question