Q: What are the factor combinations of the number 330,030,044?

 A:
Positive:   1 x 3300300442 x 1650150224 x 8250751117 x 1941353234 x 970676668 x 4853383
Negative: -1 x -330030044-2 x -165015022-4 x -82507511-17 x -19413532-34 x -9706766-68 x -4853383


How do I find the factor combinations of the number 330,030,044?

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 330,030,044, 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.

1 330,030,044
-1 -330,030,044

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 330,030,044.

Example:
1 x 330,030,044 = 330,030,044
and
-1 x -330,030,044 = 330,030,044
Notice both answers equal 330,030,044

With that explanation out of the way, let's continue. Next, we take the number 330,030,044 and divide it by 2:

330,030,044 ÷ 2 = 165,015,022

If the quotient is a whole number, then 2 and 165,015,022 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 165,015,022 330,030,044
-1 -2 -165,015,022 -330,030,044

Now, we try dividing 330,030,044 by 3:

330,030,044 ÷ 3 = 110,010,014.6667

If the quotient is a whole number, then 3 and 110,010,014.6667 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 2 165,015,022 330,030,044
-1 -2 -165,015,022 -330,030,044

Let's try dividing by 4:

330,030,044 ÷ 4 = 82,507,511

If the quotient is a whole number, then 4 and 82,507,511 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 4 82,507,511 165,015,022 330,030,044
-1 -2 -4 -82,507,511 -165,015,022 330,030,044
Keep dividing by the next highest number until you cannot divide anymore.

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

1241734684,853,3839,706,76619,413,53282,507,511165,015,022330,030,044
-1-2-4-17-34-68-4,853,383-9,706,766-19,413,532-82,507,511-165,015,022-330,030,044

More Examples

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