Q: What are the factor combinations of the number 18,382,177?

 A:
Positive:   1 x 1838217711 x 167110719 x 967483209 x 87953281 x 65417313 x 587293091 x 59473443 x 5339
Negative: -1 x -18382177-11 x -1671107-19 x -967483-209 x -87953-281 x -65417-313 x -58729-3091 x -5947-3443 x -5339


How do I find the factor combinations of the number 18,382,177?

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 18,382,177, 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 18,382,177
-1 -18,382,177

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 18,382,177.

Example:
1 x 18,382,177 = 18,382,177
and
-1 x -18,382,177 = 18,382,177
Notice both answers equal 18,382,177

With that explanation out of the way, let's continue. Next, we take the number 18,382,177 and divide it by 2:

18,382,177 ÷ 2 = 9,191,088.5

If the quotient is a whole number, then 2 and 9,191,088.5 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 18,382,177
-1 -18,382,177

Now, we try dividing 18,382,177 by 3:

18,382,177 ÷ 3 = 6,127,392.3333

If the quotient is a whole number, then 3 and 6,127,392.3333 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 18,382,177
-1 -18,382,177

Let's try dividing by 4:

18,382,177 ÷ 4 = 4,595,544.25

If the quotient is a whole number, then 4 and 4,595,544.25 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 18,382,177
-1 18,382,177
Keep dividing by the next highest number until you cannot divide anymore.

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

111192092813133,0913,4435,3395,94758,72965,41787,953967,4831,671,10718,382,177
-1-11-19-209-281-313-3,091-3,443-5,339-5,947-58,729-65,417-87,953-967,483-1,671,107-18,382,177

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