Q: What are the factor combinations of the number 330,033,011?

 A:
Positive:   1 x 3300330117 x 4714757311 x 3000300177 x 4286143373 x 8848072611 x 1264014103 x 8043711491 x 28721
Negative: -1 x -330033011-7 x -47147573-11 x -30003001-77 x -4286143-373 x -884807-2611 x -126401-4103 x -80437-11491 x -28721


How do I find the factor combinations of the number 330,033,011?

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 330,033,011, 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.

1 330,033,011
-1 -330,033,011

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 330,033,011.

Example:
1 x 330,033,011 = 330,033,011
and
-1 x -330,033,011 = 330,033,011
Notice both answers equal 330,033,011

With that explanation out of the way, let's continue. Next, we take the number 330,033,011 and divide it by 2:

330,033,011 ÷ 2 = 165,016,505.5

If the quotient is a whole number, then 2 and 165,016,505.5 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:

1 330,033,011
-1 -330,033,011

Now, we try dividing 330,033,011 by 3:

330,033,011 ÷ 3 = 110,011,003.6667

If the quotient is a whole number, then 3 and 110,011,003.6667 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:

1 330,033,011
-1 -330,033,011

Let's try dividing by 4:

330,033,011 ÷ 4 = 82,508,252.75

If the quotient is a whole number, then 4 and 82,508,252.75 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:

1 330,033,011
-1 330,033,011
Keep dividing by the next highest number until you cannot divide anymore.

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

1711773732,6114,10311,49128,72180,437126,401884,8074,286,14330,003,00147,147,573330,033,011
-1-7-11-77-373-2,611-4,103-11,491-28,721-80,437-126,401-884,807-4,286,143-30,003,001-47,147,573-330,033,011

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 330,033,011:


Ask a Question