Q: What are the factor combinations of the number 33,424,045?

 A:
Positive:   1 x 334240455 x 668480931 x 1078195155 x 215639191 x 174995955 x 349991129 x 296055645 x 5921
Negative: -1 x -33424045-5 x -6684809-31 x -1078195-155 x -215639-191 x -174995-955 x -34999-1129 x -29605-5645 x -5921


How do I find the factor combinations of the number 33,424,045?

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 33,424,045, 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 33,424,045
-1 -33,424,045

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 33,424,045.

Example:
1 x 33,424,045 = 33,424,045
and
-1 x -33,424,045 = 33,424,045
Notice both answers equal 33,424,045

With that explanation out of the way, let's continue. Next, we take the number 33,424,045 and divide it by 2:

33,424,045 ÷ 2 = 16,712,022.5

If the quotient is a whole number, then 2 and 16,712,022.5 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 33,424,045
-1 -33,424,045

Now, we try dividing 33,424,045 by 3:

33,424,045 ÷ 3 = 11,141,348.3333

If the quotient is a whole number, then 3 and 11,141,348.3333 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 33,424,045
-1 -33,424,045

Let's try dividing by 4:

33,424,045 ÷ 4 = 8,356,011.25

If the quotient is a whole number, then 4 and 8,356,011.25 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 33,424,045
-1 33,424,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15311551919551,1295,6455,92129,60534,999174,995215,6391,078,1956,684,80933,424,045
-1-5-31-155-191-955-1,129-5,645-5,921-29,605-34,999-174,995-215,639-1,078,195-6,684,809-33,424,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,424,045:


Ask a Question