Q: What are the factor combinations of the number 33,027,841?

 A:
Positive:   1 x 330278417 x 471826311 x 300253177 x 428933257 x 1285131669 x 197891799 x 183592827 x 11683
Negative: -1 x -33027841-7 x -4718263-11 x -3002531-77 x -428933-257 x -128513-1669 x -19789-1799 x -18359-2827 x -11683


How do I find the factor combinations of the number 33,027,841?

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 33,027,841, 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 33,027,841
-1 -33,027,841

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 33,027,841.

Example:
1 x 33,027,841 = 33,027,841
and
-1 x -33,027,841 = 33,027,841
Notice both answers equal 33,027,841

With that explanation out of the way, let's continue. Next, we take the number 33,027,841 and divide it by 2:

33,027,841 ÷ 2 = 16,513,920.5

If the quotient is a whole number, then 2 and 16,513,920.5 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 33,027,841
-1 -33,027,841

Now, we try dividing 33,027,841 by 3:

33,027,841 ÷ 3 = 11,009,280.3333

If the quotient is a whole number, then 3 and 11,009,280.3333 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 33,027,841
-1 -33,027,841

Let's try dividing by 4:

33,027,841 ÷ 4 = 8,256,960.25

If the quotient is a whole number, then 4 and 8,256,960.25 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 33,027,841
-1 33,027,841
Keep dividing by the next highest number until you cannot divide anymore.

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

1711772571,6691,7992,82711,68318,35919,789128,513428,9333,002,5314,718,26333,027,841
-1-7-11-77-257-1,669-1,799-2,827-11,683-18,359-19,789-128,513-428,933-3,002,531-4,718,263-33,027,841

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