Q: What are the factor combinations of the number 332,102,029?

 A:
Positive:   1 x 3321020297 x 4744314743 x 7723303301 x 1103329463 x 7172832383 x 1393633241 x 10246916681 x 19909
Negative: -1 x -332102029-7 x -47443147-43 x -7723303-301 x -1103329-463 x -717283-2383 x -139363-3241 x -102469-16681 x -19909


How do I find the factor combinations of the number 332,102,029?

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 332,102,029, 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.

1 332,102,029
-1 -332,102,029

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 332,102,029.

Example:
1 x 332,102,029 = 332,102,029
and
-1 x -332,102,029 = 332,102,029
Notice both answers equal 332,102,029

With that explanation out of the way, let's continue. Next, we take the number 332,102,029 and divide it by 2:

332,102,029 ÷ 2 = 166,051,014.5

If the quotient is a whole number, then 2 and 166,051,014.5 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:

1 332,102,029
-1 -332,102,029

Now, we try dividing 332,102,029 by 3:

332,102,029 ÷ 3 = 110,700,676.3333

If the quotient is a whole number, then 3 and 110,700,676.3333 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:

1 332,102,029
-1 -332,102,029

Let's try dividing by 4:

332,102,029 ÷ 4 = 83,025,507.25

If the quotient is a whole number, then 4 and 83,025,507.25 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:

1 332,102,029
-1 332,102,029
Keep dividing by the next highest number until you cannot divide anymore.

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

17433014632,3833,24116,68119,909102,469139,363717,2831,103,3297,723,30347,443,147332,102,029
-1-7-43-301-463-2,383-3,241-16,681-19,909-102,469-139,363-717,283-1,103,329-7,723,303-47,443,147-332,102,029

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