## How do I find the factor combinations of the number 398,545?

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 398,545, 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.

#### 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 398,545.

Example:

1 x 398,545 = 398,545

and

-1 x -398,545 = 398,545

Notice both answers equal 398,545

With that explanation out of the way, let's continue. Next, we take the number 398,545 and divide it by 2:

398,545 ÷ 2 = 199,272.5

If the quotient is a whole number, then 2 and 199,272.5 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:

Now, we try dividing 398,545 by 3:

398,545 ÷ 3 = 132,848.3333

If the quotient is a whole number, then 3 and 132,848.3333 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:

Let's try dividing by 4:

398,545 ÷ 4 = 99,636.25

If the quotient is a whole number, then 4 and 99,636.25 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:

Keep dividing by the next highest number until you cannot divide anymore.

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

### More Examples

Here are some more numbers to try:

Try the

factor calculator