Q: What are the factor combinations of the number 330,131,137?

 A:
Positive:   1 x 3301311377 x 4716159119 x 1737532359 x 5595443133 x 2482189413 x 7993491121 x 2944977847 x 42071
Negative: -1 x -330131137-7 x -47161591-19 x -17375323-59 x -5595443-133 x -2482189-413 x -799349-1121 x -294497-7847 x -42071


How do I find the factor combinations of the number 330,131,137?

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 330,131,137, 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.

1 330,131,137
-1 -330,131,137

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 330,131,137.

Example:
1 x 330,131,137 = 330,131,137
and
-1 x -330,131,137 = 330,131,137
Notice both answers equal 330,131,137

With that explanation out of the way, let's continue. Next, we take the number 330,131,137 and divide it by 2:

330,131,137 ÷ 2 = 165,065,568.5

If the quotient is a whole number, then 2 and 165,065,568.5 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:

1 330,131,137
-1 -330,131,137

Now, we try dividing 330,131,137 by 3:

330,131,137 ÷ 3 = 110,043,712.3333

If the quotient is a whole number, then 3 and 110,043,712.3333 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:

1 330,131,137
-1 -330,131,137

Let's try dividing by 4:

330,131,137 ÷ 4 = 82,532,784.25

If the quotient is a whole number, then 4 and 82,532,784.25 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:

1 330,131,137
-1 330,131,137
Keep dividing by the next highest number until you cannot divide anymore.

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

1719591334131,1217,84742,071294,497799,3492,482,1895,595,44317,375,32347,161,591330,131,137
-1-7-19-59-133-413-1,121-7,847-42,071-294,497-799,349-2,482,189-5,595,443-17,375,323-47,161,591-330,131,137

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