Q: What are the factor combinations of the number 330,722,221?

 A:
Positive:   1 x 33072222123 x 1437922747 x 7036643197 x 16787931081 x 3059411553 x 2129574531 x 729919259 x 35719
Negative: -1 x -330722221-23 x -14379227-47 x -7036643-197 x -1678793-1081 x -305941-1553 x -212957-4531 x -72991-9259 x -35719


How do I find the factor combinations of the number 330,722,221?

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 330,722,221, 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.

1 330,722,221
-1 -330,722,221

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 330,722,221.

Example:
1 x 330,722,221 = 330,722,221
and
-1 x -330,722,221 = 330,722,221
Notice both answers equal 330,722,221

With that explanation out of the way, let's continue. Next, we take the number 330,722,221 and divide it by 2:

330,722,221 ÷ 2 = 165,361,110.5

If the quotient is a whole number, then 2 and 165,361,110.5 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:

1 330,722,221
-1 -330,722,221

Now, we try dividing 330,722,221 by 3:

330,722,221 ÷ 3 = 110,240,740.3333

If the quotient is a whole number, then 3 and 110,240,740.3333 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:

1 330,722,221
-1 -330,722,221

Let's try dividing by 4:

330,722,221 ÷ 4 = 82,680,555.25

If the quotient is a whole number, then 4 and 82,680,555.25 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:

1 330,722,221
-1 330,722,221
Keep dividing by the next highest number until you cannot divide anymore.

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

123471971,0811,5534,5319,25935,71972,991212,957305,9411,678,7937,036,64314,379,227330,722,221
-1-23-47-197-1,081-1,553-4,531-9,259-35,719-72,991-212,957-305,941-1,678,793-7,036,643-14,379,227-330,722,221

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