Q: What are the factor combinations of the number 304,000,333?

 A:
Positive:   1 x 3040003337 x 4342861913 x 2338464191 x 3340663443 x 6862313101 x 980335759 x 527877541 x 40313
Negative: -1 x -304000333-7 x -43428619-13 x -23384641-91 x -3340663-443 x -686231-3101 x -98033-5759 x -52787-7541 x -40313


How do I find the factor combinations of the number 304,000,333?

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 304,000,333, 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.

1 304,000,333
-1 -304,000,333

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 304,000,333.

Example:
1 x 304,000,333 = 304,000,333
and
-1 x -304,000,333 = 304,000,333
Notice both answers equal 304,000,333

With that explanation out of the way, let's continue. Next, we take the number 304,000,333 and divide it by 2:

304,000,333 ÷ 2 = 152,000,166.5

If the quotient is a whole number, then 2 and 152,000,166.5 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:

1 304,000,333
-1 -304,000,333

Now, we try dividing 304,000,333 by 3:

304,000,333 ÷ 3 = 101,333,444.3333

If the quotient is a whole number, then 3 and 101,333,444.3333 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:

1 304,000,333
-1 -304,000,333

Let's try dividing by 4:

304,000,333 ÷ 4 = 76,000,083.25

If the quotient is a whole number, then 4 and 76,000,083.25 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:

1 304,000,333
-1 304,000,333
Keep dividing by the next highest number until you cannot divide anymore.

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

1713914433,1015,7597,54140,31352,78798,033686,2313,340,66323,384,64143,428,619304,000,333
-1-7-13-91-443-3,101-5,759-7,541-40,313-52,787-98,033-686,231-3,340,663-23,384,641-43,428,619-304,000,333

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