Q: What are the factor combinations of the number 18,273,827?

 A:
Positive:   1 x 1827382711 x 166125713 x 140567917 x 1074931143 x 127789187 x 97721221 x 826872431 x 7517
Negative: -1 x -18273827-11 x -1661257-13 x -1405679-17 x -1074931-143 x -127789-187 x -97721-221 x -82687-2431 x -7517


How do I find the factor combinations of the number 18,273,827?

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 18,273,827, 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 18,273,827
-1 -18,273,827

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 18,273,827.

Example:
1 x 18,273,827 = 18,273,827
and
-1 x -18,273,827 = 18,273,827
Notice both answers equal 18,273,827

With that explanation out of the way, let's continue. Next, we take the number 18,273,827 and divide it by 2:

18,273,827 ÷ 2 = 9,136,913.5

If the quotient is a whole number, then 2 and 9,136,913.5 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 18,273,827
-1 -18,273,827

Now, we try dividing 18,273,827 by 3:

18,273,827 ÷ 3 = 6,091,275.6667

If the quotient is a whole number, then 3 and 6,091,275.6667 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 18,273,827
-1 -18,273,827

Let's try dividing by 4:

18,273,827 ÷ 4 = 4,568,456.75

If the quotient is a whole number, then 4 and 4,568,456.75 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 18,273,827
-1 18,273,827
Keep dividing by the next highest number until you cannot divide anymore.

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

11113171431872212,4317,51782,68797,721127,7891,074,9311,405,6791,661,25718,273,827
-1-11-13-17-143-187-221-2,431-7,517-82,687-97,721-127,789-1,074,931-1,405,679-1,661,257-18,273,827

More Examples

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