Q: What are the factor combinations of the number 331,022,009?

 A:
Positive:   1 x 33102200919 x 1742221167 x 4940627457 x 724337569 x 5817611273 x 2600338683 x 3812310811 x 30619
Negative: -1 x -331022009-19 x -17422211-67 x -4940627-457 x -724337-569 x -581761-1273 x -260033-8683 x -38123-10811 x -30619


How do I find the factor combinations of the number 331,022,009?

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 331,022,009, 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.

1 331,022,009
-1 -331,022,009

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 331,022,009.

Example:
1 x 331,022,009 = 331,022,009
and
-1 x -331,022,009 = 331,022,009
Notice both answers equal 331,022,009

With that explanation out of the way, let's continue. Next, we take the number 331,022,009 and divide it by 2:

331,022,009 ÷ 2 = 165,511,004.5

If the quotient is a whole number, then 2 and 165,511,004.5 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:

1 331,022,009
-1 -331,022,009

Now, we try dividing 331,022,009 by 3:

331,022,009 ÷ 3 = 110,340,669.6667

If the quotient is a whole number, then 3 and 110,340,669.6667 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:

1 331,022,009
-1 -331,022,009

Let's try dividing by 4:

331,022,009 ÷ 4 = 82,755,502.25

If the quotient is a whole number, then 4 and 82,755,502.25 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:

1 331,022,009
-1 331,022,009
Keep dividing by the next highest number until you cannot divide anymore.

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

119674575691,2738,68310,81130,61938,123260,033581,761724,3374,940,62717,422,211331,022,009
-1-19-67-457-569-1,273-8,683-10,811-30,619-38,123-260,033-581,761-724,337-4,940,627-17,422,211-331,022,009

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 331,022,009:


Ask a Question