Q: What are the factor combinations of the number 332,222,215?

 A:
Positive:   1 x 3322222155 x 6644444313 x 2555555559 x 563088565 x 5111111295 x 1126177767 x 4331453835 x 86629
Negative: -1 x -332222215-5 x -66444443-13 x -25555555-59 x -5630885-65 x -5111111-295 x -1126177-767 x -433145-3835 x -86629


How do I find the factor combinations of the number 332,222,215?

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 332,222,215, 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.

1 332,222,215
-1 -332,222,215

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 332,222,215.

Example:
1 x 332,222,215 = 332,222,215
and
-1 x -332,222,215 = 332,222,215
Notice both answers equal 332,222,215

With that explanation out of the way, let's continue. Next, we take the number 332,222,215 and divide it by 2:

332,222,215 ÷ 2 = 166,111,107.5

If the quotient is a whole number, then 2 and 166,111,107.5 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:

1 332,222,215
-1 -332,222,215

Now, we try dividing 332,222,215 by 3:

332,222,215 ÷ 3 = 110,740,738.3333

If the quotient is a whole number, then 3 and 110,740,738.3333 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:

1 332,222,215
-1 -332,222,215

Let's try dividing by 4:

332,222,215 ÷ 4 = 83,055,553.75

If the quotient is a whole number, then 4 and 83,055,553.75 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:

1 332,222,215
-1 332,222,215
Keep dividing by the next highest number until you cannot divide anymore.

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

151359652957673,83586,629433,1451,126,1775,111,1115,630,88525,555,55566,444,443332,222,215
-1-5-13-59-65-295-767-3,835-86,629-433,145-1,126,177-5,111,111-5,630,885-25,555,555-66,444,443-332,222,215

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