Q: What are the factor combinations of the number 33,031,505?

 A:
Positive:   1 x 330315055 x 660630113 x 254088565 x 508177613 x 53885829 x 398453065 x 107774145 x 7969
Negative: -1 x -33031505-5 x -6606301-13 x -2540885-65 x -508177-613 x -53885-829 x -39845-3065 x -10777-4145 x -7969


How do I find the factor combinations of the number 33,031,505?

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 33,031,505, 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 33,031,505
-1 -33,031,505

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 33,031,505.

Example:
1 x 33,031,505 = 33,031,505
and
-1 x -33,031,505 = 33,031,505
Notice both answers equal 33,031,505

With that explanation out of the way, let's continue. Next, we take the number 33,031,505 and divide it by 2:

33,031,505 ÷ 2 = 16,515,752.5

If the quotient is a whole number, then 2 and 16,515,752.5 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 33,031,505
-1 -33,031,505

Now, we try dividing 33,031,505 by 3:

33,031,505 ÷ 3 = 11,010,501.6667

If the quotient is a whole number, then 3 and 11,010,501.6667 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 33,031,505
-1 -33,031,505

Let's try dividing by 4:

33,031,505 ÷ 4 = 8,257,876.25

If the quotient is a whole number, then 4 and 8,257,876.25 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 33,031,505
-1 33,031,505
Keep dividing by the next highest number until you cannot divide anymore.

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

1513656138293,0654,1457,96910,77739,84553,885508,1772,540,8856,606,30133,031,505
-1-5-13-65-613-829-3,065-4,145-7,969-10,777-39,845-53,885-508,177-2,540,885-6,606,301-33,031,505

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,031,505:


Ask a Question