Q: What are the factor combinations of the number 181,010,081?

 A:
Positive:   1 x 1810100817 x 2585858367 x 2701643107 x 1691683469 x 385949749 x 2416693607 x 501837169 x 25249
Negative: -1 x -181010081-7 x -25858583-67 x -2701643-107 x -1691683-469 x -385949-749 x -241669-3607 x -50183-7169 x -25249


How do I find the factor combinations of the number 181,010,081?

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 181,010,081, 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.

1 181,010,081
-1 -181,010,081

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 181,010,081.

Example:
1 x 181,010,081 = 181,010,081
and
-1 x -181,010,081 = 181,010,081
Notice both answers equal 181,010,081

With that explanation out of the way, let's continue. Next, we take the number 181,010,081 and divide it by 2:

181,010,081 ÷ 2 = 90,505,040.5

If the quotient is a whole number, then 2 and 90,505,040.5 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:

1 181,010,081
-1 -181,010,081

Now, we try dividing 181,010,081 by 3:

181,010,081 ÷ 3 = 60,336,693.6667

If the quotient is a whole number, then 3 and 60,336,693.6667 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:

1 181,010,081
-1 -181,010,081

Let's try dividing by 4:

181,010,081 ÷ 4 = 45,252,520.25

If the quotient is a whole number, then 4 and 45,252,520.25 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:

1 181,010,081
-1 181,010,081
Keep dividing by the next highest number until you cannot divide anymore.

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

17671074697493,6077,16925,24950,183241,669385,9491,691,6832,701,64325,858,583181,010,081
-1-7-67-107-469-749-3,607-7,169-25,249-50,183-241,669-385,949-1,691,683-2,701,643-25,858,583-181,010,081

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