Q: What are the factor combinations of the number 330,430,139?

 A:
Positive:   1 x 33043013913 x 2541770317 x 19437067221 x 1495159
Negative: -1 x -330430139-13 x -25417703-17 x -19437067-221 x -1495159


How do I find the factor combinations of the number 330,430,139?

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 330,430,139, 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.

1 330,430,139
-1 -330,430,139

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 330,430,139.

Example:
1 x 330,430,139 = 330,430,139
and
-1 x -330,430,139 = 330,430,139
Notice both answers equal 330,430,139

With that explanation out of the way, let's continue. Next, we take the number 330,430,139 and divide it by 2:

330,430,139 ÷ 2 = 165,215,069.5

If the quotient is a whole number, then 2 and 165,215,069.5 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:

1 330,430,139
-1 -330,430,139

Now, we try dividing 330,430,139 by 3:

330,430,139 ÷ 3 = 110,143,379.6667

If the quotient is a whole number, then 3 and 110,143,379.6667 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:

1 330,430,139
-1 -330,430,139

Let's try dividing by 4:

330,430,139 ÷ 4 = 82,607,534.75

If the quotient is a whole number, then 4 and 82,607,534.75 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:

1 330,430,139
-1 330,430,139
Keep dividing by the next highest number until you cannot divide anymore.

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

113172211,495,15919,437,06725,417,703330,430,139
-1-13-17-221-1,495,159-19,437,067-25,417,703-330,430,139

More Examples

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