Q: What are the factor combinations of the number 330,331,301?

 A:
Positive:   1 x 33033130117 x 1943125337 x 892787341 x 8056861629 x 525169697 x 4739331517 x 21775312809 x 25789
Negative: -1 x -330331301-17 x -19431253-37 x -8927873-41 x -8056861-629 x -525169-697 x -473933-1517 x -217753-12809 x -25789


How do I find the factor combinations of the number 330,331,301?

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 330,331,301, 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.

1 330,331,301
-1 -330,331,301

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 330,331,301.

Example:
1 x 330,331,301 = 330,331,301
and
-1 x -330,331,301 = 330,331,301
Notice both answers equal 330,331,301

With that explanation out of the way, let's continue. Next, we take the number 330,331,301 and divide it by 2:

330,331,301 ÷ 2 = 165,165,650.5

If the quotient is a whole number, then 2 and 165,165,650.5 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:

1 330,331,301
-1 -330,331,301

Now, we try dividing 330,331,301 by 3:

330,331,301 ÷ 3 = 110,110,433.6667

If the quotient is a whole number, then 3 and 110,110,433.6667 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:

1 330,331,301
-1 -330,331,301

Let's try dividing by 4:

330,331,301 ÷ 4 = 82,582,825.25

If the quotient is a whole number, then 4 and 82,582,825.25 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:

1 330,331,301
-1 330,331,301
Keep dividing by the next highest number until you cannot divide anymore.

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

11737416296971,51712,80925,789217,753473,933525,1698,056,8618,927,87319,431,253330,331,301
-1-17-37-41-629-697-1,517-12,809-25,789-217,753-473,933-525,169-8,056,861-8,927,873-19,431,253-330,331,301

More Examples

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