Q: What are the factor combinations of the number 331,030,331?

 A:
Positive:   1 x 33103033119 x 1742264929 x 11414839199 x 1663469551 x 6007813019 x 1096493781 x 875515771 x 57361
Negative: -1 x -331030331-19 x -17422649-29 x -11414839-199 x -1663469-551 x -600781-3019 x -109649-3781 x -87551-5771 x -57361


How do I find the factor combinations of the number 331,030,331?

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 331,030,331, 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.

1 331,030,331
-1 -331,030,331

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 331,030,331.

Example:
1 x 331,030,331 = 331,030,331
and
-1 x -331,030,331 = 331,030,331
Notice both answers equal 331,030,331

With that explanation out of the way, let's continue. Next, we take the number 331,030,331 and divide it by 2:

331,030,331 ÷ 2 = 165,515,165.5

If the quotient is a whole number, then 2 and 165,515,165.5 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:

1 331,030,331
-1 -331,030,331

Now, we try dividing 331,030,331 by 3:

331,030,331 ÷ 3 = 110,343,443.6667

If the quotient is a whole number, then 3 and 110,343,443.6667 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:

1 331,030,331
-1 -331,030,331

Let's try dividing by 4:

331,030,331 ÷ 4 = 82,757,582.75

If the quotient is a whole number, then 4 and 82,757,582.75 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:

1 331,030,331
-1 331,030,331
Keep dividing by the next highest number until you cannot divide anymore.

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

119291995513,0193,7815,77157,36187,551109,649600,7811,663,46911,414,83917,422,649331,030,331
-1-19-29-199-551-3,019-3,781-5,771-57,361-87,551-109,649-600,781-1,663,469-11,414,839-17,422,649-331,030,331

More Examples

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