Q: What are the factor combinations of the number 33,200,765?

 A:
Positive:   1 x 332007655 x 664015313 x 255390565 x 51078173 x 454805365 x 90961949 x 349854745 x 6997
Negative: -1 x -33200765-5 x -6640153-13 x -2553905-65 x -510781-73 x -454805-365 x -90961-949 x -34985-4745 x -6997


How do I find the factor combinations of the number 33,200,765?

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 33,200,765, 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 33,200,765
-1 -33,200,765

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 33,200,765.

Example:
1 x 33,200,765 = 33,200,765
and
-1 x -33,200,765 = 33,200,765
Notice both answers equal 33,200,765

With that explanation out of the way, let's continue. Next, we take the number 33,200,765 and divide it by 2:

33,200,765 ÷ 2 = 16,600,382.5

If the quotient is a whole number, then 2 and 16,600,382.5 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 33,200,765
-1 -33,200,765

Now, we try dividing 33,200,765 by 3:

33,200,765 ÷ 3 = 11,066,921.6667

If the quotient is a whole number, then 3 and 11,066,921.6667 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 33,200,765
-1 -33,200,765

Let's try dividing by 4:

33,200,765 ÷ 4 = 8,300,191.25

If the quotient is a whole number, then 4 and 8,300,191.25 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 33,200,765
-1 33,200,765
Keep dividing by the next highest number until you cannot divide anymore.

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

151365733659494,7456,99734,98590,961454,805510,7812,553,9056,640,15333,200,765
-1-5-13-65-73-365-949-4,745-6,997-34,985-90,961-454,805-510,781-2,553,905-6,640,153-33,200,765

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,200,765:


Ask a Question