Q: What are the factor combinations of the number 188,872,027?

 A:
Positive:   1 x 18887202719 x 9940633103 x 1833709937 x 2015711957 x 9651110609 x 17803
Negative: -1 x -188872027-19 x -9940633-103 x -1833709-937 x -201571-1957 x -96511-10609 x -17803


How do I find the factor combinations of the number 188,872,027?

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 188,872,027, 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.

1 188,872,027
-1 -188,872,027

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 188,872,027.

Example:
1 x 188,872,027 = 188,872,027
and
-1 x -188,872,027 = 188,872,027
Notice both answers equal 188,872,027

With that explanation out of the way, let's continue. Next, we take the number 188,872,027 and divide it by 2:

188,872,027 ÷ 2 = 94,436,013.5

If the quotient is a whole number, then 2 and 94,436,013.5 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:

1 188,872,027
-1 -188,872,027

Now, we try dividing 188,872,027 by 3:

188,872,027 ÷ 3 = 62,957,342.3333

If the quotient is a whole number, then 3 and 62,957,342.3333 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:

1 188,872,027
-1 -188,872,027

Let's try dividing by 4:

188,872,027 ÷ 4 = 47,218,006.75

If the quotient is a whole number, then 4 and 47,218,006.75 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:

1 188,872,027
-1 188,872,027
Keep dividing by the next highest number until you cannot divide anymore.

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

1191039371,95710,60917,80396,511201,5711,833,7099,940,633188,872,027
-1-19-103-937-1,957-10,609-17,803-96,511-201,571-1,833,709-9,940,633-188,872,027

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