Q: What are the factor combinations of the number 188,247,847?

 A:
Positive:   1 x 18824784723 x 8184689103 x 1827649229 x 822043347 x 5425012369 x 794635267 x 357417981 x 23587
Negative: -1 x -188247847-23 x -8184689-103 x -1827649-229 x -822043-347 x -542501-2369 x -79463-5267 x -35741-7981 x -23587


How do I find the factor combinations of the number 188,247,847?

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 188,247,847, 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.

1 188,247,847
-1 -188,247,847

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 188,247,847.

Example:
1 x 188,247,847 = 188,247,847
and
-1 x -188,247,847 = 188,247,847
Notice both answers equal 188,247,847

With that explanation out of the way, let's continue. Next, we take the number 188,247,847 and divide it by 2:

188,247,847 ÷ 2 = 94,123,923.5

If the quotient is a whole number, then 2 and 94,123,923.5 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:

1 188,247,847
-1 -188,247,847

Now, we try dividing 188,247,847 by 3:

188,247,847 ÷ 3 = 62,749,282.3333

If the quotient is a whole number, then 3 and 62,749,282.3333 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:

1 188,247,847
-1 -188,247,847

Let's try dividing by 4:

188,247,847 ÷ 4 = 47,061,961.75

If the quotient is a whole number, then 4 and 47,061,961.75 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:

1 188,247,847
-1 188,247,847
Keep dividing by the next highest number until you cannot divide anymore.

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

1231032293472,3695,2677,98123,58735,74179,463542,501822,0431,827,6498,184,689188,247,847
-1-23-103-229-347-2,369-5,267-7,981-23,587-35,741-79,463-542,501-822,043-1,827,649-8,184,689-188,247,847

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