Q: What are the factor combinations of the number 332,322,815?

 A:
Positive:   1 x 3323228155 x 6646456311 x 3021116555 x 604223361 x 5447915305 x 1089583671 x 4952653355 x 99053
Negative: -1 x -332322815-5 x -66464563-11 x -30211165-55 x -6042233-61 x -5447915-305 x -1089583-671 x -495265-3355 x -99053


How do I find the factor combinations of the number 332,322,815?

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 332,322,815, 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.

1 332,322,815
-1 -332,322,815

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 332,322,815.

Example:
1 x 332,322,815 = 332,322,815
and
-1 x -332,322,815 = 332,322,815
Notice both answers equal 332,322,815

With that explanation out of the way, let's continue. Next, we take the number 332,322,815 and divide it by 2:

332,322,815 ÷ 2 = 166,161,407.5

If the quotient is a whole number, then 2 and 166,161,407.5 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:

1 332,322,815
-1 -332,322,815

Now, we try dividing 332,322,815 by 3:

332,322,815 ÷ 3 = 110,774,271.6667

If the quotient is a whole number, then 3 and 110,774,271.6667 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:

1 332,322,815
-1 -332,322,815

Let's try dividing by 4:

332,322,815 ÷ 4 = 83,080,703.75

If the quotient is a whole number, then 4 and 83,080,703.75 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:

1 332,322,815
-1 332,322,815
Keep dividing by the next highest number until you cannot divide anymore.

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

151155613056713,35599,053495,2651,089,5835,447,9156,042,23330,211,16566,464,563332,322,815
-1-5-11-55-61-305-671-3,355-99,053-495,265-1,089,583-5,447,915-6,042,233-30,211,165-66,464,563-332,322,815

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