Q: What are the factor combinations of the number 215,360,615?

 A:
Positive:   1 x 2153606155 x 4307212323 x 9363505115 x 1872701821 x 2623152281 x 944154105 x 5246311405 x 18883
Negative: -1 x -215360615-5 x -43072123-23 x -9363505-115 x -1872701-821 x -262315-2281 x -94415-4105 x -52463-11405 x -18883


How do I find the factor combinations of the number 215,360,615?

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 215,360,615, 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.

1 215,360,615
-1 -215,360,615

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 215,360,615.

Example:
1 x 215,360,615 = 215,360,615
and
-1 x -215,360,615 = 215,360,615
Notice both answers equal 215,360,615

With that explanation out of the way, let's continue. Next, we take the number 215,360,615 and divide it by 2:

215,360,615 ÷ 2 = 107,680,307.5

If the quotient is a whole number, then 2 and 107,680,307.5 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:

1 215,360,615
-1 -215,360,615

Now, we try dividing 215,360,615 by 3:

215,360,615 ÷ 3 = 71,786,871.6667

If the quotient is a whole number, then 3 and 71,786,871.6667 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:

1 215,360,615
-1 -215,360,615

Let's try dividing by 4:

215,360,615 ÷ 4 = 53,840,153.75

If the quotient is a whole number, then 4 and 53,840,153.75 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:

1 215,360,615
-1 215,360,615
Keep dividing by the next highest number until you cannot divide anymore.

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

15231158212,2814,10511,40518,88352,46394,415262,3151,872,7019,363,50543,072,123215,360,615
-1-5-23-115-821-2,281-4,105-11,405-18,883-52,463-94,415-262,315-1,872,701-9,363,505-43,072,123-215,360,615

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