# Q: What are the factor combinations of the number 315,487?

A:
Positive:   1 x 31548731 x 10177
Negative: -1 x -315487-31 x -10177

## How do I find the factor combinations of the number 315,487?

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 315,487, 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.

 1 315,487 -1 -315,487

#### 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 315,487.

Example:
1 x 315,487 = 315,487
and
-1 x -315,487 = 315,487

With that explanation out of the way, let's continue. Next, we take the number 315,487 and divide it by 2:

315,487 ÷ 2 = 157,743.5

If the quotient is a whole number, then 2 and 157,743.5 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:

 1 315,487 -1 -315,487

Now, we try dividing 315,487 by 3:

315,487 ÷ 3 = 105,162.3333

If the quotient is a whole number, then 3 and 105,162.3333 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:

 1 315,487 -1 -315,487

Let's try dividing by 4:

315,487 ÷ 4 = 78,871.75

If the quotient is a whole number, then 4 and 78,871.75 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:

 1 315,487 -1 315,487
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 31 10,177 315,487 -1 -31 -10,177 -315,487

### More Examples

Here are some more numbers to try:

Try the factor calculator

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