Q: What are the factor combinations of the number 330,420,215?

 A:
Positive:   1 x 3304202155 x 6608404367 x 4931645223 x 1481705335 x 9863291115 x 2963414423 x 7470514941 x 22115
Negative: -1 x -330420215-5 x -66084043-67 x -4931645-223 x -1481705-335 x -986329-1115 x -296341-4423 x -74705-14941 x -22115


How do I find the factor combinations of the number 330,420,215?

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 330,420,215, 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.

1 330,420,215
-1 -330,420,215

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 330,420,215.

Example:
1 x 330,420,215 = 330,420,215
and
-1 x -330,420,215 = 330,420,215
Notice both answers equal 330,420,215

With that explanation out of the way, let's continue. Next, we take the number 330,420,215 and divide it by 2:

330,420,215 ÷ 2 = 165,210,107.5

If the quotient is a whole number, then 2 and 165,210,107.5 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:

1 330,420,215
-1 -330,420,215

Now, we try dividing 330,420,215 by 3:

330,420,215 ÷ 3 = 110,140,071.6667

If the quotient is a whole number, then 3 and 110,140,071.6667 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:

1 330,420,215
-1 -330,420,215

Let's try dividing by 4:

330,420,215 ÷ 4 = 82,605,053.75

If the quotient is a whole number, then 4 and 82,605,053.75 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:

1 330,420,215
-1 330,420,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15672233351,1154,42314,94122,11574,705296,341986,3291,481,7054,931,64566,084,043330,420,215
-1-5-67-223-335-1,115-4,423-14,941-22,115-74,705-296,341-986,329-1,481,705-4,931,645-66,084,043-330,420,215

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