Q: What are the factor combinations of the number 332,440,043?

 A:
Positive:   1 x 33244004313 x 2557231159 x 5634577767 x 433429
Negative: -1 x -332440043-13 x -25572311-59 x -5634577-767 x -433429


How do I find the factor combinations of the number 332,440,043?

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 332,440,043, 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.

1 332,440,043
-1 -332,440,043

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 332,440,043.

Example:
1 x 332,440,043 = 332,440,043
and
-1 x -332,440,043 = 332,440,043
Notice both answers equal 332,440,043

With that explanation out of the way, let's continue. Next, we take the number 332,440,043 and divide it by 2:

332,440,043 ÷ 2 = 166,220,021.5

If the quotient is a whole number, then 2 and 166,220,021.5 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:

1 332,440,043
-1 -332,440,043

Now, we try dividing 332,440,043 by 3:

332,440,043 ÷ 3 = 110,813,347.6667

If the quotient is a whole number, then 3 and 110,813,347.6667 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:

1 332,440,043
-1 -332,440,043

Let's try dividing by 4:

332,440,043 ÷ 4 = 83,110,010.75

If the quotient is a whole number, then 4 and 83,110,010.75 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:

1 332,440,043
-1 332,440,043
Keep dividing by the next highest number until you cannot divide anymore.

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

11359767433,4295,634,57725,572,311332,440,043
-1-13-59-767-433,429-5,634,577-25,572,311-332,440,043

More Examples

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