Q: What are the factor combinations of the number 332,125?

 A:
Positive:   1 x 3321255 x 6642525 x 13285125 x 2657
Negative: -1 x -332125-5 x -66425-25 x -13285-125 x -2657


How do I find the factor combinations of the number 332,125?

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 332,125, 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.

1 332,125
-1 -332,125

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 332,125.

Example:
1 x 332,125 = 332,125
and
-1 x -332,125 = 332,125
Notice both answers equal 332,125

With that explanation out of the way, let's continue. Next, we take the number 332,125 and divide it by 2:

332,125 ÷ 2 = 166,062.5

If the quotient is a whole number, then 2 and 166,062.5 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:

1 332,125
-1 -332,125

Now, we try dividing 332,125 by 3:

332,125 ÷ 3 = 110,708.3333

If the quotient is a whole number, then 3 and 110,708.3333 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:

1 332,125
-1 -332,125

Let's try dividing by 4:

332,125 ÷ 4 = 83,031.25

If the quotient is a whole number, then 4 and 83,031.25 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:

1 332,125
-1 332,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252,65713,28566,425332,125
-1-5-25-125-2,657-13,285-66,425-332,125

More Examples

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