Q: What are the factor combinations of the number 33,264,725?

 A:
Positive:   1 x 332647255 x 665294513 x 255882519 x 175077525 x 133058965 x 51176595 x 350155247 x 134675325 x 102353475 x 700311235 x 269355387 x 6175
Negative: -1 x -33264725-5 x -6652945-13 x -2558825-19 x -1750775-25 x -1330589-65 x -511765-95 x -350155-247 x -134675-325 x -102353-475 x -70031-1235 x -26935-5387 x -6175


How do I find the factor combinations of the number 33,264,725?

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 33,264,725, 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 33,264,725
-1 -33,264,725

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 33,264,725.

Example:
1 x 33,264,725 = 33,264,725
and
-1 x -33,264,725 = 33,264,725
Notice both answers equal 33,264,725

With that explanation out of the way, let's continue. Next, we take the number 33,264,725 and divide it by 2:

33,264,725 ÷ 2 = 16,632,362.5

If the quotient is a whole number, then 2 and 16,632,362.5 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 33,264,725
-1 -33,264,725

Now, we try dividing 33,264,725 by 3:

33,264,725 ÷ 3 = 11,088,241.6667

If the quotient is a whole number, then 3 and 11,088,241.6667 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 33,264,725
-1 -33,264,725

Let's try dividing by 4:

33,264,725 ÷ 4 = 8,316,181.25

If the quotient is a whole number, then 4 and 8,316,181.25 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 33,264,725
-1 33,264,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1513192565952473254751,2355,3876,17526,93570,031102,353134,675350,155511,7651,330,5891,750,7752,558,8256,652,94533,264,725
-1-5-13-19-25-65-95-247-325-475-1,235-5,387-6,175-26,935-70,031-102,353-134,675-350,155-511,765-1,330,589-1,750,775-2,558,825-6,652,945-33,264,725

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