Q: What are the factor combinations of the number 33,181,165?

 A:
Positive:   1 x 331811655 x 663623343 x 771655157 x 211345215 x 154331785 x 42269983 x 337554915 x 6751
Negative: -1 x -33181165-5 x -6636233-43 x -771655-157 x -211345-215 x -154331-785 x -42269-983 x -33755-4915 x -6751


How do I find the factor combinations of the number 33,181,165?

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 33,181,165, 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 33,181,165
-1 -33,181,165

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 33,181,165.

Example:
1 x 33,181,165 = 33,181,165
and
-1 x -33,181,165 = 33,181,165
Notice both answers equal 33,181,165

With that explanation out of the way, let's continue. Next, we take the number 33,181,165 and divide it by 2:

33,181,165 ÷ 2 = 16,590,582.5

If the quotient is a whole number, then 2 and 16,590,582.5 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 33,181,165
-1 -33,181,165

Now, we try dividing 33,181,165 by 3:

33,181,165 ÷ 3 = 11,060,388.3333

If the quotient is a whole number, then 3 and 11,060,388.3333 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 33,181,165
-1 -33,181,165

Let's try dividing by 4:

33,181,165 ÷ 4 = 8,295,291.25

If the quotient is a whole number, then 4 and 8,295,291.25 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 33,181,165
-1 33,181,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15431572157859834,9156,75133,75542,269154,331211,345771,6556,636,23333,181,165
-1-5-43-157-215-785-983-4,915-6,751-33,755-42,269-154,331-211,345-771,655-6,636,233-33,181,165

More Examples

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