Q: What are the factor combinations of the number 30,000,215?

 A:
Positive:   1 x 300002155 x 60000437 x 428574535 x 857149547 x 548451567 x 191452735 x 109693829 x 7835
Negative: -1 x -30000215-5 x -6000043-7 x -4285745-35 x -857149-547 x -54845-1567 x -19145-2735 x -10969-3829 x -7835


How do I find the factor combinations of the number 30,000,215?

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 30,000,215, 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 30,000,215
-1 -30,000,215

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 30,000,215.

Example:
1 x 30,000,215 = 30,000,215
and
-1 x -30,000,215 = 30,000,215
Notice both answers equal 30,000,215

With that explanation out of the way, let's continue. Next, we take the number 30,000,215 and divide it by 2:

30,000,215 ÷ 2 = 15,000,107.5

If the quotient is a whole number, then 2 and 15,000,107.5 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 30,000,215
-1 -30,000,215

Now, we try dividing 30,000,215 by 3:

30,000,215 ÷ 3 = 10,000,071.6667

If the quotient is a whole number, then 3 and 10,000,071.6667 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 30,000,215
-1 -30,000,215

Let's try dividing by 4:

30,000,215 ÷ 4 = 7,500,053.75

If the quotient is a whole number, then 4 and 7,500,053.75 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 30,000,215
-1 30,000,215
Keep dividing by the next highest number until you cannot divide anymore.

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

157355471,5672,7353,8297,83510,96919,14554,845857,1494,285,7456,000,04330,000,215
-1-5-7-35-547-1,567-2,735-3,829-7,835-10,969-19,145-54,845-857,149-4,285,745-6,000,043-30,000,215

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