# Q: What are the factor combinations of the number 398,545?

A:
Positive:   1 x 3985455 x 797097 x 5693535 x 1138759 x 6755193 x 2065295 x 1351413 x 965
Negative: -1 x -398545-5 x -79709-7 x -56935-35 x -11387-59 x -6755-193 x -2065-295 x -1351-413 x -965

## 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.

 1 398,545 -1 -398,545

#### 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

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:

 1 398,545 -1 -398,545

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:

 1 398,545 -1 -398,545

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:

 1 398,545 -1 398,545
Keep dividing by the next highest number until you cannot divide anymore.

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

 1 5 7 35 59 193 295 413 965 1,351 2,065 6,755 11,387 56,935 79,709 398,545 -1 -5 -7 -35 -59 -193 -295 -413 -965 -1,351 -2,065 -6,755 -11,387 -56,935 -79,709 -398,545

### More Examples

Here are some more numbers to try:

Try the factor calculator

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