Q: What are the factor combinations of the number 11,600,165?

 A:
Positive:   1 x 116001655 x 232003319 x 61053523 x 50435595 x 122107115 x 100871437 x 265452185 x 5309
Negative: -1 x -11600165-5 x -2320033-19 x -610535-23 x -504355-95 x -122107-115 x -100871-437 x -26545-2185 x -5309


How do I find the factor combinations of the number 11,600,165?

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 11,600,165, 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 11,600,165
-1 -11,600,165

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 11,600,165.

Example:
1 x 11,600,165 = 11,600,165
and
-1 x -11,600,165 = 11,600,165
Notice both answers equal 11,600,165

With that explanation out of the way, let's continue. Next, we take the number 11,600,165 and divide it by 2:

11,600,165 ÷ 2 = 5,800,082.5

If the quotient is a whole number, then 2 and 5,800,082.5 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 11,600,165
-1 -11,600,165

Now, we try dividing 11,600,165 by 3:

11,600,165 ÷ 3 = 3,866,721.6667

If the quotient is a whole number, then 3 and 3,866,721.6667 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 11,600,165
-1 -11,600,165

Let's try dividing by 4:

11,600,165 ÷ 4 = 2,900,041.25

If the quotient is a whole number, then 4 and 2,900,041.25 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 11,600,165
-1 11,600,165
Keep dividing by the next highest number until you cannot divide anymore.

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

151923951154372,1855,30926,545100,871122,107504,355610,5352,320,03311,600,165
-1-5-19-23-95-115-437-2,185-5,309-26,545-100,871-122,107-504,355-610,535-2,320,033-11,600,165

More Examples

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