Q: What are the factor combinations of the number 332,023,043?

 A:
Positive:   1 x 33202304311 x 3018391319 x 1747489741 x 8098123209 x 1588627451 x 736193779 x 4262178569 x 38747
Negative: -1 x -332023043-11 x -30183913-19 x -17474897-41 x -8098123-209 x -1588627-451 x -736193-779 x -426217-8569 x -38747


How do I find the factor combinations of the number 332,023,043?

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 332,023,043, 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.

1 332,023,043
-1 -332,023,043

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 332,023,043.

Example:
1 x 332,023,043 = 332,023,043
and
-1 x -332,023,043 = 332,023,043
Notice both answers equal 332,023,043

With that explanation out of the way, let's continue. Next, we take the number 332,023,043 and divide it by 2:

332,023,043 ÷ 2 = 166,011,521.5

If the quotient is a whole number, then 2 and 166,011,521.5 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:

1 332,023,043
-1 -332,023,043

Now, we try dividing 332,023,043 by 3:

332,023,043 ÷ 3 = 110,674,347.6667

If the quotient is a whole number, then 3 and 110,674,347.6667 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:

1 332,023,043
-1 -332,023,043

Let's try dividing by 4:

332,023,043 ÷ 4 = 83,005,760.75

If the quotient is a whole number, then 4 and 83,005,760.75 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:

1 332,023,043
-1 332,023,043
Keep dividing by the next highest number until you cannot divide anymore.

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

11119412094517798,56938,747426,217736,1931,588,6278,098,12317,474,89730,183,913332,023,043
-1-11-19-41-209-451-779-8,569-38,747-426,217-736,193-1,588,627-8,098,123-17,474,897-30,183,913-332,023,043

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