Q: What are the factor combinations of the number 333,004,399?

 A:
Positive:   1 x 3330043997 x 4757205713 x 2561572391 x 36593891061 x 3138593449 x 965517427 x 4483713793 x 24143
Negative: -1 x -333004399-7 x -47572057-13 x -25615723-91 x -3659389-1061 x -313859-3449 x -96551-7427 x -44837-13793 x -24143


How do I find the factor combinations of the number 333,004,399?

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 333,004,399, 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.

1 333,004,399
-1 -333,004,399

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 333,004,399.

Example:
1 x 333,004,399 = 333,004,399
and
-1 x -333,004,399 = 333,004,399
Notice both answers equal 333,004,399

With that explanation out of the way, let's continue. Next, we take the number 333,004,399 and divide it by 2:

333,004,399 ÷ 2 = 166,502,199.5

If the quotient is a whole number, then 2 and 166,502,199.5 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:

1 333,004,399
-1 -333,004,399

Now, we try dividing 333,004,399 by 3:

333,004,399 ÷ 3 = 111,001,466.3333

If the quotient is a whole number, then 3 and 111,001,466.3333 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:

1 333,004,399
-1 -333,004,399

Let's try dividing by 4:

333,004,399 ÷ 4 = 83,251,099.75

If the quotient is a whole number, then 4 and 83,251,099.75 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:

1 333,004,399
-1 333,004,399
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911,0613,4497,42713,79324,14344,83796,551313,8593,659,38925,615,72347,572,057333,004,399
-1-7-13-91-1,061-3,449-7,427-13,793-24,143-44,837-96,551-313,859-3,659,389-25,615,723-47,572,057-333,004,399

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