Q: What are the factor combinations of the number 33,113,755?

 A:
Positive:   1 x 331137555 x 6622751421 x 786552105 x 15731
Negative: -1 x -33113755-5 x -6622751-421 x -78655-2105 x -15731


How do I find the factor combinations of the number 33,113,755?

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 33,113,755, 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 33,113,755
-1 -33,113,755

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 33,113,755.

Example:
1 x 33,113,755 = 33,113,755
and
-1 x -33,113,755 = 33,113,755
Notice both answers equal 33,113,755

With that explanation out of the way, let's continue. Next, we take the number 33,113,755 and divide it by 2:

33,113,755 ÷ 2 = 16,556,877.5

If the quotient is a whole number, then 2 and 16,556,877.5 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 33,113,755
-1 -33,113,755

Now, we try dividing 33,113,755 by 3:

33,113,755 ÷ 3 = 11,037,918.3333

If the quotient is a whole number, then 3 and 11,037,918.3333 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 33,113,755
-1 -33,113,755

Let's try dividing by 4:

33,113,755 ÷ 4 = 8,278,438.75

If the quotient is a whole number, then 4 and 8,278,438.75 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 33,113,755
-1 33,113,755
Keep dividing by the next highest number until you cannot divide anymore.

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

154212,10515,73178,6556,622,75133,113,755
-1-5-421-2,105-15,731-78,655-6,622,751-33,113,755

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,113,755:


Ask a Question