Q: What are the factor combinations of the number 18,382,727?

 A:
Positive:   1 x 1838272711 x 167115723 x 799249113 x 162679253 x 72659643 x 285891243 x 147892599 x 7073
Negative: -1 x -18382727-11 x -1671157-23 x -799249-113 x -162679-253 x -72659-643 x -28589-1243 x -14789-2599 x -7073


How do I find the factor combinations of the number 18,382,727?

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 18,382,727, 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 18,382,727
-1 -18,382,727

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 18,382,727.

Example:
1 x 18,382,727 = 18,382,727
and
-1 x -18,382,727 = 18,382,727
Notice both answers equal 18,382,727

With that explanation out of the way, let's continue. Next, we take the number 18,382,727 and divide it by 2:

18,382,727 ÷ 2 = 9,191,363.5

If the quotient is a whole number, then 2 and 9,191,363.5 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 18,382,727
-1 -18,382,727

Now, we try dividing 18,382,727 by 3:

18,382,727 ÷ 3 = 6,127,575.6667

If the quotient is a whole number, then 3 and 6,127,575.6667 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 18,382,727
-1 -18,382,727

Let's try dividing by 4:

18,382,727 ÷ 4 = 4,595,681.75

If the quotient is a whole number, then 4 and 4,595,681.75 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 18,382,727
-1 18,382,727
Keep dividing by the next highest number until you cannot divide anymore.

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

111231132536431,2432,5997,07314,78928,58972,659162,679799,2491,671,15718,382,727
-1-11-23-113-253-643-1,243-2,599-7,073-14,789-28,589-72,659-162,679-799,249-1,671,157-18,382,727

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