Q: What are the factor combinations of the number 332,311,109?

 A:
Positive:   1 x 33231110913 x 2556239341 x 8105149101 x 3290209533 x 6234731313 x 2530934141 x 802496173 x 53833
Negative: -1 x -332311109-13 x -25562393-41 x -8105149-101 x -3290209-533 x -623473-1313 x -253093-4141 x -80249-6173 x -53833


How do I find the factor combinations of the number 332,311,109?

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 332,311,109, 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.

1 332,311,109
-1 -332,311,109

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 332,311,109.

Example:
1 x 332,311,109 = 332,311,109
and
-1 x -332,311,109 = 332,311,109
Notice both answers equal 332,311,109

With that explanation out of the way, let's continue. Next, we take the number 332,311,109 and divide it by 2:

332,311,109 ÷ 2 = 166,155,554.5

If the quotient is a whole number, then 2 and 166,155,554.5 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:

1 332,311,109
-1 -332,311,109

Now, we try dividing 332,311,109 by 3:

332,311,109 ÷ 3 = 110,770,369.6667

If the quotient is a whole number, then 3 and 110,770,369.6667 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:

1 332,311,109
-1 -332,311,109

Let's try dividing by 4:

332,311,109 ÷ 4 = 83,077,777.25

If the quotient is a whole number, then 4 and 83,077,777.25 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:

1 332,311,109
-1 332,311,109
Keep dividing by the next highest number until you cannot divide anymore.

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

113411015331,3134,1416,17353,83380,249253,093623,4733,290,2098,105,14925,562,393332,311,109
-1-13-41-101-533-1,313-4,141-6,173-53,833-80,249-253,093-623,473-3,290,209-8,105,149-25,562,393-332,311,109

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