Q: What are the factor combinations of the number 33,784,033?

 A:
Positive:   1 x 3378403319 x 177810723 x 146887197 x 348289437 x 77309797 x 423891843 x 183312231 x 15143
Negative: -1 x -33784033-19 x -1778107-23 x -1468871-97 x -348289-437 x -77309-797 x -42389-1843 x -18331-2231 x -15143


How do I find the factor combinations of the number 33,784,033?

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 33,784,033, 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 33,784,033
-1 -33,784,033

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 33,784,033.

Example:
1 x 33,784,033 = 33,784,033
and
-1 x -33,784,033 = 33,784,033
Notice both answers equal 33,784,033

With that explanation out of the way, let's continue. Next, we take the number 33,784,033 and divide it by 2:

33,784,033 ÷ 2 = 16,892,016.5

If the quotient is a whole number, then 2 and 16,892,016.5 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 33,784,033
-1 -33,784,033

Now, we try dividing 33,784,033 by 3:

33,784,033 ÷ 3 = 11,261,344.3333

If the quotient is a whole number, then 3 and 11,261,344.3333 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 33,784,033
-1 -33,784,033

Let's try dividing by 4:

33,784,033 ÷ 4 = 8,446,008.25

If the quotient is a whole number, then 4 and 8,446,008.25 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 33,784,033
-1 33,784,033
Keep dividing by the next highest number until you cannot divide anymore.

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

11923974377971,8432,23115,14318,33142,38977,309348,2891,468,8711,778,10733,784,033
-1-19-23-97-437-797-1,843-2,231-15,143-18,331-42,389-77,309-348,289-1,468,871-1,778,107-33,784,033

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,784,033:


Ask a Question