Q: What are the factor combinations of the number 33,833,383?

 A:
Positive:   1 x 3383338317 x 199019973 x 463471137 x 246959199 x 1700171241 x 272632329 x 145273383 x 10001
Negative: -1 x -33833383-17 x -1990199-73 x -463471-137 x -246959-199 x -170017-1241 x -27263-2329 x -14527-3383 x -10001


How do I find the factor combinations of the number 33,833,383?

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 33,833,383, 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 33,833,383
-1 -33,833,383

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 33,833,383.

Example:
1 x 33,833,383 = 33,833,383
and
-1 x -33,833,383 = 33,833,383
Notice both answers equal 33,833,383

With that explanation out of the way, let's continue. Next, we take the number 33,833,383 and divide it by 2:

33,833,383 ÷ 2 = 16,916,691.5

If the quotient is a whole number, then 2 and 16,916,691.5 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 33,833,383
-1 -33,833,383

Now, we try dividing 33,833,383 by 3:

33,833,383 ÷ 3 = 11,277,794.3333

If the quotient is a whole number, then 3 and 11,277,794.3333 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 33,833,383
-1 -33,833,383

Let's try dividing by 4:

33,833,383 ÷ 4 = 8,458,345.75

If the quotient is a whole number, then 4 and 8,458,345.75 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 33,833,383
-1 33,833,383
Keep dividing by the next highest number until you cannot divide anymore.

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

117731371991,2412,3293,38310,00114,52727,263170,017246,959463,4711,990,19933,833,383
-1-17-73-137-199-1,241-2,329-3,383-10,001-14,527-27,263-170,017-246,959-463,471-1,990,199-33,833,383

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,833,383:


Ask a Question