Q: What are the factor combinations of the number 330,221,101?

 A:
Positive:   1 x 3302211017 x 47174443137 x 2410373149 x 2216249959 x 3443391043 x 3166072311 x 14289116177 x 20413
Negative: -1 x -330221101-7 x -47174443-137 x -2410373-149 x -2216249-959 x -344339-1043 x -316607-2311 x -142891-16177 x -20413


How do I find the factor combinations of the number 330,221,101?

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 330,221,101, 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.

1 330,221,101
-1 -330,221,101

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 330,221,101.

Example:
1 x 330,221,101 = 330,221,101
and
-1 x -330,221,101 = 330,221,101
Notice both answers equal 330,221,101

With that explanation out of the way, let's continue. Next, we take the number 330,221,101 and divide it by 2:

330,221,101 ÷ 2 = 165,110,550.5

If the quotient is a whole number, then 2 and 165,110,550.5 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:

1 330,221,101
-1 -330,221,101

Now, we try dividing 330,221,101 by 3:

330,221,101 ÷ 3 = 110,073,700.3333

If the quotient is a whole number, then 3 and 110,073,700.3333 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:

1 330,221,101
-1 -330,221,101

Let's try dividing by 4:

330,221,101 ÷ 4 = 82,555,275.25

If the quotient is a whole number, then 4 and 82,555,275.25 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:

1 330,221,101
-1 330,221,101
Keep dividing by the next highest number until you cannot divide anymore.

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

171371499591,0432,31116,17720,413142,891316,607344,3392,216,2492,410,37347,174,443330,221,101
-1-7-137-149-959-1,043-2,311-16,177-20,413-142,891-316,607-344,339-2,216,249-2,410,373-47,174,443-330,221,101

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