Q: What are the factor combinations of the number 330,200,312?

 A:
Positive:   1 x 3302003122 x 1651001564 x 825500788 x 4127503913 x 2540002426 x 1270001252 x 6350006104 x 3175003169 x 1953848338 x 976924676 x 4884621352 x 2442312197 x 1502964394 x 751488788 x 3757417576 x 18787
Negative: -1 x -330200312-2 x -165100156-4 x -82550078-8 x -41275039-13 x -25400024-26 x -12700012-52 x -6350006-104 x -3175003-169 x -1953848-338 x -976924-676 x -488462-1352 x -244231-2197 x -150296-4394 x -75148-8788 x -37574-17576 x -18787


How do I find the factor combinations of the number 330,200,312?

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 330,200,312, 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.

1 330,200,312
-1 -330,200,312

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 330,200,312.

Example:
1 x 330,200,312 = 330,200,312
and
-1 x -330,200,312 = 330,200,312
Notice both answers equal 330,200,312

With that explanation out of the way, let's continue. Next, we take the number 330,200,312 and divide it by 2:

330,200,312 ÷ 2 = 165,100,156

If the quotient is a whole number, then 2 and 165,100,156 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 165,100,156 330,200,312
-1 -2 -165,100,156 -330,200,312

Now, we try dividing 330,200,312 by 3:

330,200,312 ÷ 3 = 110,066,770.6667

If the quotient is a whole number, then 3 and 110,066,770.6667 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 2 165,100,156 330,200,312
-1 -2 -165,100,156 -330,200,312

Let's try dividing by 4:

330,200,312 ÷ 4 = 82,550,078

If the quotient is a whole number, then 4 and 82,550,078 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 4 82,550,078 165,100,156 330,200,312
-1 -2 -4 -82,550,078 -165,100,156 330,200,312
Keep dividing by the next highest number until you cannot divide anymore.

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

12481326521041693386761,3522,1974,3948,78817,57618,78737,57475,148150,296244,231488,462976,9241,953,8483,175,0036,350,00612,700,01225,400,02441,275,03982,550,078165,100,156330,200,312
-1-2-4-8-13-26-52-104-169-338-676-1,352-2,197-4,394-8,788-17,576-18,787-37,574-75,148-150,296-244,231-488,462-976,924-1,953,848-3,175,003-6,350,006-12,700,012-25,400,024-41,275,039-82,550,078-165,100,156-330,200,312

More Examples

Here are some more numbers to try:

330,200,310330,200,311330,200,313330,200,314
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