Q: What are the factor combinations of the number 33,880,015?

 A:
Positive:   1 x 338800155 x 677600313 x 260615565 x 521231
Negative: -1 x -33880015-5 x -6776003-13 x -2606155-65 x -521231


How do I find the factor combinations of the number 33,880,015?

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 33,880,015, 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 33,880,015
-1 -33,880,015

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 33,880,015.

Example:
1 x 33,880,015 = 33,880,015
and
-1 x -33,880,015 = 33,880,015
Notice both answers equal 33,880,015

With that explanation out of the way, let's continue. Next, we take the number 33,880,015 and divide it by 2:

33,880,015 ÷ 2 = 16,940,007.5

If the quotient is a whole number, then 2 and 16,940,007.5 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 33,880,015
-1 -33,880,015

Now, we try dividing 33,880,015 by 3:

33,880,015 ÷ 3 = 11,293,338.3333

If the quotient is a whole number, then 3 and 11,293,338.3333 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 33,880,015
-1 -33,880,015

Let's try dividing by 4:

33,880,015 ÷ 4 = 8,470,003.75

If the quotient is a whole number, then 4 and 8,470,003.75 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 33,880,015
-1 33,880,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151365521,2312,606,1556,776,00333,880,015
-1-5-13-65-521,231-2,606,155-6,776,003-33,880,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,880,015:


Ask a Question