Q: What are the factor combinations of the number 331,133,015?

 A:
Positive:   1 x 3311330155 x 6622660341 x 8076415199 x 1663985205 x 1615283995 x 3327978117 x 407958159 x 40585
Negative: -1 x -331133015-5 x -66226603-41 x -8076415-199 x -1663985-205 x -1615283-995 x -332797-8117 x -40795-8159 x -40585


How do I find the factor combinations of the number 331,133,015?

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 331,133,015, 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.

1 331,133,015
-1 -331,133,015

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 331,133,015.

Example:
1 x 331,133,015 = 331,133,015
and
-1 x -331,133,015 = 331,133,015
Notice both answers equal 331,133,015

With that explanation out of the way, let's continue. Next, we take the number 331,133,015 and divide it by 2:

331,133,015 ÷ 2 = 165,566,507.5

If the quotient is a whole number, then 2 and 165,566,507.5 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:

1 331,133,015
-1 -331,133,015

Now, we try dividing 331,133,015 by 3:

331,133,015 ÷ 3 = 110,377,671.6667

If the quotient is a whole number, then 3 and 110,377,671.6667 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:

1 331,133,015
-1 -331,133,015

Let's try dividing by 4:

331,133,015 ÷ 4 = 82,783,253.75

If the quotient is a whole number, then 4 and 82,783,253.75 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:

1 331,133,015
-1 331,133,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15411992059958,1178,15940,58540,795332,7971,615,2831,663,9858,076,41566,226,603331,133,015
-1-5-41-199-205-995-8,117-8,159-40,585-40,795-332,797-1,615,283-1,663,985-8,076,415-66,226,603-331,133,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 331,133,015:


Ask a Question