Q: What are the factor combinations of the number 330,422,105?

 A:
Positive:   1 x 3304221055 x 6608442113 x 2541708543 x 768423565 x 5083417215 x 1536847559 x 5910952795 x 118219
Negative: -1 x -330422105-5 x -66084421-13 x -25417085-43 x -7684235-65 x -5083417-215 x -1536847-559 x -591095-2795 x -118219


How do I find the factor combinations of the number 330,422,105?

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 330,422,105, 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.

1 330,422,105
-1 -330,422,105

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 330,422,105.

Example:
1 x 330,422,105 = 330,422,105
and
-1 x -330,422,105 = 330,422,105
Notice both answers equal 330,422,105

With that explanation out of the way, let's continue. Next, we take the number 330,422,105 and divide it by 2:

330,422,105 ÷ 2 = 165,211,052.5

If the quotient is a whole number, then 2 and 165,211,052.5 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:

1 330,422,105
-1 -330,422,105

Now, we try dividing 330,422,105 by 3:

330,422,105 ÷ 3 = 110,140,701.6667

If the quotient is a whole number, then 3 and 110,140,701.6667 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:

1 330,422,105
-1 -330,422,105

Let's try dividing by 4:

330,422,105 ÷ 4 = 82,605,526.25

If the quotient is a whole number, then 4 and 82,605,526.25 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:

1 330,422,105
-1 330,422,105
Keep dividing by the next highest number until you cannot divide anymore.

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

151343652155592,795118,219591,0951,536,8475,083,4177,684,23525,417,08566,084,421330,422,105
-1-5-13-43-65-215-559-2,795-118,219-591,095-1,536,847-5,083,417-7,684,235-25,417,085-66,084,421-330,422,105

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 330,422,105:


Ask a Question