Q: What are the factor combinations of the number 33,070,165?

 A:
Positive:   1 x 330701655 x 661403319 x 174053595 x 348107127 x 260395635 x 520792413 x 137052741 x 12065
Negative: -1 x -33070165-5 x -6614033-19 x -1740535-95 x -348107-127 x -260395-635 x -52079-2413 x -13705-2741 x -12065


How do I find the factor combinations of the number 33,070,165?

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 33,070,165, 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 33,070,165
-1 -33,070,165

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 33,070,165.

Example:
1 x 33,070,165 = 33,070,165
and
-1 x -33,070,165 = 33,070,165
Notice both answers equal 33,070,165

With that explanation out of the way, let's continue. Next, we take the number 33,070,165 and divide it by 2:

33,070,165 ÷ 2 = 16,535,082.5

If the quotient is a whole number, then 2 and 16,535,082.5 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 33,070,165
-1 -33,070,165

Now, we try dividing 33,070,165 by 3:

33,070,165 ÷ 3 = 11,023,388.3333

If the quotient is a whole number, then 3 and 11,023,388.3333 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 33,070,165
-1 -33,070,165

Let's try dividing by 4:

33,070,165 ÷ 4 = 8,267,541.25

If the quotient is a whole number, then 4 and 8,267,541.25 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 33,070,165
-1 33,070,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951276352,4132,74112,06513,70552,079260,395348,1071,740,5356,614,03333,070,165
-1-5-19-95-127-635-2,413-2,741-12,065-13,705-52,079-260,395-348,107-1,740,535-6,614,033-33,070,165

More Examples

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