Q: What are the factor combinations of the number 331,324,001?

 A:
Positive:   1 x 33132400131 x 1068787161 x 54315411891 x 175211
Negative: -1 x -331324001-31 x -10687871-61 x -5431541-1891 x -175211


How do I find the factor combinations of the number 331,324,001?

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 331,324,001, 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.

1 331,324,001
-1 -331,324,001

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 331,324,001.

Example:
1 x 331,324,001 = 331,324,001
and
-1 x -331,324,001 = 331,324,001
Notice both answers equal 331,324,001

With that explanation out of the way, let's continue. Next, we take the number 331,324,001 and divide it by 2:

331,324,001 ÷ 2 = 165,662,000.5

If the quotient is a whole number, then 2 and 165,662,000.5 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:

1 331,324,001
-1 -331,324,001

Now, we try dividing 331,324,001 by 3:

331,324,001 ÷ 3 = 110,441,333.6667

If the quotient is a whole number, then 3 and 110,441,333.6667 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:

1 331,324,001
-1 -331,324,001

Let's try dividing by 4:

331,324,001 ÷ 4 = 82,831,000.25

If the quotient is a whole number, then 4 and 82,831,000.25 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:

1 331,324,001
-1 331,324,001
Keep dividing by the next highest number until you cannot divide anymore.

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

131611,891175,2115,431,54110,687,871331,324,001
-1-31-61-1,891-175,211-5,431,541-10,687,871-331,324,001

More Examples

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