Q: What are the factor combinations of the number 333,112,331?

 A:
Positive:   1 x 33311233117 x 1959484341 x 8124691229 x 1454639697 x 4779232087 x 1596133893 x 855679389 x 35479
Negative: -1 x -333112331-17 x -19594843-41 x -8124691-229 x -1454639-697 x -477923-2087 x -159613-3893 x -85567-9389 x -35479


How do I find the factor combinations of the number 333,112,331?

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 333,112,331, 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.

1 333,112,331
-1 -333,112,331

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 333,112,331.

Example:
1 x 333,112,331 = 333,112,331
and
-1 x -333,112,331 = 333,112,331
Notice both answers equal 333,112,331

With that explanation out of the way, let's continue. Next, we take the number 333,112,331 and divide it by 2:

333,112,331 ÷ 2 = 166,556,165.5

If the quotient is a whole number, then 2 and 166,556,165.5 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:

1 333,112,331
-1 -333,112,331

Now, we try dividing 333,112,331 by 3:

333,112,331 ÷ 3 = 111,037,443.6667

If the quotient is a whole number, then 3 and 111,037,443.6667 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:

1 333,112,331
-1 -333,112,331

Let's try dividing by 4:

333,112,331 ÷ 4 = 83,278,082.75

If the quotient is a whole number, then 4 and 83,278,082.75 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:

1 333,112,331
-1 333,112,331
Keep dividing by the next highest number until you cannot divide anymore.

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

117412296972,0873,8939,38935,47985,567159,613477,9231,454,6398,124,69119,594,843333,112,331
-1-17-41-229-697-2,087-3,893-9,389-35,479-85,567-159,613-477,923-1,454,639-8,124,691-19,594,843-333,112,331

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 333,112,331:


Ask a Question