Q: What are the factor combinations of the number 330,001,139?

 A:
Positive:   1 x 33000113913 x 2538470319 x 17368481247 x 1336037
Negative: -1 x -330001139-13 x -25384703-19 x -17368481-247 x -1336037


How do I find the factor combinations of the number 330,001,139?

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 330,001,139, 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.

1 330,001,139
-1 -330,001,139

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 330,001,139.

Example:
1 x 330,001,139 = 330,001,139
and
-1 x -330,001,139 = 330,001,139
Notice both answers equal 330,001,139

With that explanation out of the way, let's continue. Next, we take the number 330,001,139 and divide it by 2:

330,001,139 ÷ 2 = 165,000,569.5

If the quotient is a whole number, then 2 and 165,000,569.5 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:

1 330,001,139
-1 -330,001,139

Now, we try dividing 330,001,139 by 3:

330,001,139 ÷ 3 = 110,000,379.6667

If the quotient is a whole number, then 3 and 110,000,379.6667 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:

1 330,001,139
-1 -330,001,139

Let's try dividing by 4:

330,001,139 ÷ 4 = 82,500,284.75

If the quotient is a whole number, then 4 and 82,500,284.75 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:

1 330,001,139
-1 330,001,139
Keep dividing by the next highest number until you cannot divide anymore.

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

113192471,336,03717,368,48125,384,703330,001,139
-1-13-19-247-1,336,037-17,368,481-25,384,703-330,001,139

More Examples

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