Q: What are the factor combinations of the number 330,542,005?

 A:
Positive:   1 x 3305420055 x 66108401
Negative: -1 x -330542005-5 x -66108401


How do I find the factor combinations of the number 330,542,005?

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 330,542,005, 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.

1 330,542,005
-1 -330,542,005

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 330,542,005.

Example:
1 x 330,542,005 = 330,542,005
and
-1 x -330,542,005 = 330,542,005
Notice both answers equal 330,542,005

With that explanation out of the way, let's continue. Next, we take the number 330,542,005 and divide it by 2:

330,542,005 ÷ 2 = 165,271,002.5

If the quotient is a whole number, then 2 and 165,271,002.5 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:

1 330,542,005
-1 -330,542,005

Now, we try dividing 330,542,005 by 3:

330,542,005 ÷ 3 = 110,180,668.3333

If the quotient is a whole number, then 3 and 110,180,668.3333 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:

1 330,542,005
-1 -330,542,005

Let's try dividing by 4:

330,542,005 ÷ 4 = 82,635,501.25

If the quotient is a whole number, then 4 and 82,635,501.25 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:

1 330,542,005
-1 330,542,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1566,108,401330,542,005
-1-5-66,108,401-330,542,005

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 330,542,005:


Ask a Question