Q: What are the factor combinations of the number 330,395?

 A:
Positive:   1 x 3303955 x 6607913 x 2541517 x 1943523 x 1436565 x 508385 x 3887115 x 2873169 x 1955221 x 1495299 x 1105391 x 845
Negative: -1 x -330395-5 x -66079-13 x -25415-17 x -19435-23 x -14365-65 x -5083-85 x -3887-115 x -2873-169 x -1955-221 x -1495-299 x -1105-391 x -845


How do I find the factor combinations of the number 330,395?

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 330,395, 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.

1 330,395
-1 -330,395

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 330,395.

Example:
1 x 330,395 = 330,395
and
-1 x -330,395 = 330,395
Notice both answers equal 330,395

With that explanation out of the way, let's continue. Next, we take the number 330,395 and divide it by 2:

330,395 ÷ 2 = 165,197.5

If the quotient is a whole number, then 2 and 165,197.5 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:

1 330,395
-1 -330,395

Now, we try dividing 330,395 by 3:

330,395 ÷ 3 = 110,131.6667

If the quotient is a whole number, then 3 and 110,131.6667 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:

1 330,395
-1 -330,395

Let's try dividing by 4:

330,395 ÷ 4 = 82,598.75

If the quotient is a whole number, then 4 and 82,598.75 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:

1 330,395
-1 330,395
Keep dividing by the next highest number until you cannot divide anymore.

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

1513172365851151692212993918451,1051,4951,9552,8733,8875,08314,36519,43525,41566,079330,395
-1-5-13-17-23-65-85-115-169-221-299-391-845-1,105-1,495-1,955-2,873-3,887-5,083-14,365-19,435-25,415-66,079-330,395

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