Q: What are the factor combinations of the number 33,200,545?

 A:
Positive:   1 x 332005455 x 66401097 x 474293535 x 948587257 x 1291851285 x 258371799 x 184553691 x 8995
Negative: -1 x -33200545-5 x -6640109-7 x -4742935-35 x -948587-257 x -129185-1285 x -25837-1799 x -18455-3691 x -8995


How do I find the factor combinations of the number 33,200,545?

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 33,200,545, 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 33,200,545
-1 -33,200,545

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 33,200,545.

Example:
1 x 33,200,545 = 33,200,545
and
-1 x -33,200,545 = 33,200,545
Notice both answers equal 33,200,545

With that explanation out of the way, let's continue. Next, we take the number 33,200,545 and divide it by 2:

33,200,545 ÷ 2 = 16,600,272.5

If the quotient is a whole number, then 2 and 16,600,272.5 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 33,200,545
-1 -33,200,545

Now, we try dividing 33,200,545 by 3:

33,200,545 ÷ 3 = 11,066,848.3333

If the quotient is a whole number, then 3 and 11,066,848.3333 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 33,200,545
-1 -33,200,545

Let's try dividing by 4:

33,200,545 ÷ 4 = 8,300,136.25

If the quotient is a whole number, then 4 and 8,300,136.25 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 33,200,545
-1 33,200,545
Keep dividing by the next highest number until you cannot divide anymore.

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

157352571,2851,7993,6918,99518,45525,837129,185948,5874,742,9356,640,10933,200,545
-1-5-7-35-257-1,285-1,799-3,691-8,995-18,455-25,837-129,185-948,587-4,742,935-6,640,109-33,200,545

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,200,545:


Ask a Question