# Q: What are the factor combinations of the number 845,125?

A:
Positive:   1 x 8451255 x 16902525 x 33805125 x 6761
Negative: -1 x -845125-5 x -169025-25 x -33805-125 x -6761

## How do I find the factor combinations of the number 845,125?

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 845,125, 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.

 1 845,125 -1 -845,125

#### 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 845,125.

Example:
1 x 845,125 = 845,125
and
-1 x -845,125 = 845,125

With that explanation out of the way, let's continue. Next, we take the number 845,125 and divide it by 2:

845,125 ÷ 2 = 422,562.5

If the quotient is a whole number, then 2 and 422,562.5 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:

 1 845,125 -1 -845,125

Now, we try dividing 845,125 by 3:

845,125 ÷ 3 = 281,708.3333

If the quotient is a whole number, then 3 and 281,708.3333 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:

 1 845,125 -1 -845,125

Let's try dividing by 4:

845,125 ÷ 4 = 211,281.25

If the quotient is a whole number, then 4 and 211,281.25 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:

 1 845,125 -1 845,125
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 25 125 6,761 33,805 169,025 845,125 -1 -5 -25 -125 -6,761 -33,805 -169,025 -845,125

### More Examples

Here are some more numbers to try:

Try the factor calculator

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