Q: What are the factor combinations of the number 332,695?

 A:
Positive:   1 x 3326955 x 6653911 x 3024523 x 1446555 x 6049115 x 2893253 x 1315263 x 1265
Negative: -1 x -332695-5 x -66539-11 x -30245-23 x -14465-55 x -6049-115 x -2893-253 x -1315-263 x -1265


How do I find the factor combinations of the number 332,695?

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 332,695, 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.

1 332,695
-1 -332,695

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 332,695.

Example:
1 x 332,695 = 332,695
and
-1 x -332,695 = 332,695
Notice both answers equal 332,695

With that explanation out of the way, let's continue. Next, we take the number 332,695 and divide it by 2:

332,695 ÷ 2 = 166,347.5

If the quotient is a whole number, then 2 and 166,347.5 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:

1 332,695
-1 -332,695

Now, we try dividing 332,695 by 3:

332,695 ÷ 3 = 110,898.3333

If the quotient is a whole number, then 3 and 110,898.3333 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:

1 332,695
-1 -332,695

Let's try dividing by 4:

332,695 ÷ 4 = 83,173.75

If the quotient is a whole number, then 4 and 83,173.75 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:

1 332,695
-1 332,695
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152532631,2651,3152,8936,04914,46530,24566,539332,695
-1-5-11-23-55-115-253-263-1,265-1,315-2,893-6,049-14,465-30,245-66,539-332,695

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