Q: What are the factor combinations of the number 323,855?

 A:
Positive:   1 x 3238555 x 647717 x 4626519 x 1704535 x 925395 x 3409133 x 2435487 x 665
Negative: -1 x -323855-5 x -64771-7 x -46265-19 x -17045-35 x -9253-95 x -3409-133 x -2435-487 x -665


How do I find the factor combinations of the number 323,855?

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 323,855, 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.

1 323,855
-1 -323,855

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 323,855.

Example:
1 x 323,855 = 323,855
and
-1 x -323,855 = 323,855
Notice both answers equal 323,855

With that explanation out of the way, let's continue. Next, we take the number 323,855 and divide it by 2:

323,855 ÷ 2 = 161,927.5

If the quotient is a whole number, then 2 and 161,927.5 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:

1 323,855
-1 -323,855

Now, we try dividing 323,855 by 3:

323,855 ÷ 3 = 107,951.6667

If the quotient is a whole number, then 3 and 107,951.6667 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:

1 323,855
-1 -323,855

Let's try dividing by 4:

323,855 ÷ 4 = 80,963.75

If the quotient is a whole number, then 4 and 80,963.75 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:

1 323,855
-1 323,855
Keep dividing by the next highest number until you cannot divide anymore.

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

1571935951334876652,4353,4099,25317,04546,26564,771323,855
-1-5-7-19-35-95-133-487-665-2,435-3,409-9,253-17,045-46,265-64,771-323,855

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 323,855:


Ask a Question