Q: What are the factor combinations of the number 332,155,327?

 A:
Positive:   1 x 3321553277 x 4745076137 x 8977171103 x 3224809259 x 1282453721 x 4606873811 x 8715712451 x 26677
Negative: -1 x -332155327-7 x -47450761-37 x -8977171-103 x -3224809-259 x -1282453-721 x -460687-3811 x -87157-12451 x -26677


How do I find the factor combinations of the number 332,155,327?

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 332,155,327, 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.

1 332,155,327
-1 -332,155,327

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 332,155,327.

Example:
1 x 332,155,327 = 332,155,327
and
-1 x -332,155,327 = 332,155,327
Notice both answers equal 332,155,327

With that explanation out of the way, let's continue. Next, we take the number 332,155,327 and divide it by 2:

332,155,327 ÷ 2 = 166,077,663.5

If the quotient is a whole number, then 2 and 166,077,663.5 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:

1 332,155,327
-1 -332,155,327

Now, we try dividing 332,155,327 by 3:

332,155,327 ÷ 3 = 110,718,442.3333

If the quotient is a whole number, then 3 and 110,718,442.3333 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:

1 332,155,327
-1 -332,155,327

Let's try dividing by 4:

332,155,327 ÷ 4 = 83,038,831.75

If the quotient is a whole number, then 4 and 83,038,831.75 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:

1 332,155,327
-1 332,155,327
Keep dividing by the next highest number until you cannot divide anymore.

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

17371032597213,81112,45126,67787,157460,6871,282,4533,224,8098,977,17147,450,761332,155,327
-1-7-37-103-259-721-3,811-12,451-26,677-87,157-460,687-1,282,453-3,224,809-8,977,171-47,450,761-332,155,327

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