Q: What are the factor combinations of the number 330,018,725?

 A:
Positive:   1 x 3300187255 x 6600374525 x 1320074937 x 891942547 x 7021675185 x 1783885235 x 1404335925 x 3567771175 x 2808671739 x 1897757591 x 434758695 x 37955
Negative: -1 x -330018725-5 x -66003745-25 x -13200749-37 x -8919425-47 x -7021675-185 x -1783885-235 x -1404335-925 x -356777-1175 x -280867-1739 x -189775-7591 x -43475-8695 x -37955


How do I find the factor combinations of the number 330,018,725?

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 330,018,725, 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.

1 330,018,725
-1 -330,018,725

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 330,018,725.

Example:
1 x 330,018,725 = 330,018,725
and
-1 x -330,018,725 = 330,018,725
Notice both answers equal 330,018,725

With that explanation out of the way, let's continue. Next, we take the number 330,018,725 and divide it by 2:

330,018,725 ÷ 2 = 165,009,362.5

If the quotient is a whole number, then 2 and 165,009,362.5 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:

1 330,018,725
-1 -330,018,725

Now, we try dividing 330,018,725 by 3:

330,018,725 ÷ 3 = 110,006,241.6667

If the quotient is a whole number, then 3 and 110,006,241.6667 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:

1 330,018,725
-1 -330,018,725

Let's try dividing by 4:

330,018,725 ÷ 4 = 82,504,681.25

If the quotient is a whole number, then 4 and 82,504,681.25 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:

1 330,018,725
-1 330,018,725
Keep dividing by the next highest number until you cannot divide anymore.

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

152537471852359251,1751,7397,5918,69537,95543,475189,775280,867356,7771,404,3351,783,8857,021,6758,919,42513,200,74966,003,745330,018,725
-1-5-25-37-47-185-235-925-1,175-1,739-7,591-8,695-37,955-43,475-189,775-280,867-356,777-1,404,335-1,783,885-7,021,675-8,919,425-13,200,749-66,003,745-330,018,725

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