Q: What are the factor combinations of the number 33,505,585?

 A:
Positive:   1 x 335055855 x 670111729 x 1155365145 x 231073311 x 107735743 x 450951555 x 215473715 x 9019
Negative: -1 x -33505585-5 x -6701117-29 x -1155365-145 x -231073-311 x -107735-743 x -45095-1555 x -21547-3715 x -9019


How do I find the factor combinations of the number 33,505,585?

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 33,505,585, 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 33,505,585
-1 -33,505,585

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 33,505,585.

Example:
1 x 33,505,585 = 33,505,585
and
-1 x -33,505,585 = 33,505,585
Notice both answers equal 33,505,585

With that explanation out of the way, let's continue. Next, we take the number 33,505,585 and divide it by 2:

33,505,585 ÷ 2 = 16,752,792.5

If the quotient is a whole number, then 2 and 16,752,792.5 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 33,505,585
-1 -33,505,585

Now, we try dividing 33,505,585 by 3:

33,505,585 ÷ 3 = 11,168,528.3333

If the quotient is a whole number, then 3 and 11,168,528.3333 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 33,505,585
-1 -33,505,585

Let's try dividing by 4:

33,505,585 ÷ 4 = 8,376,396.25

If the quotient is a whole number, then 4 and 8,376,396.25 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 33,505,585
-1 33,505,585
Keep dividing by the next highest number until you cannot divide anymore.

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

15291453117431,5553,7159,01921,54745,095107,735231,0731,155,3656,701,11733,505,585
-1-5-29-145-311-743-1,555-3,715-9,019-21,547-45,095-107,735-231,073-1,155,365-6,701,117-33,505,585

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,505,585:


Ask a Question