Q: What are the factor combinations of the number 16,324,027?

 A:
Positive:   1 x 1632402741 x 39814761 x 267607107 x 1525612501 x 65273721 x 4387
Negative: -1 x -16324027-41 x -398147-61 x -267607-107 x -152561-2501 x -6527-3721 x -4387


How do I find the factor combinations of the number 16,324,027?

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 16,324,027, 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 16,324,027
-1 -16,324,027

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 16,324,027.

Example:
1 x 16,324,027 = 16,324,027
and
-1 x -16,324,027 = 16,324,027
Notice both answers equal 16,324,027

With that explanation out of the way, let's continue. Next, we take the number 16,324,027 and divide it by 2:

16,324,027 ÷ 2 = 8,162,013.5

If the quotient is a whole number, then 2 and 8,162,013.5 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 16,324,027
-1 -16,324,027

Now, we try dividing 16,324,027 by 3:

16,324,027 ÷ 3 = 5,441,342.3333

If the quotient is a whole number, then 3 and 5,441,342.3333 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 16,324,027
-1 -16,324,027

Let's try dividing by 4:

16,324,027 ÷ 4 = 4,081,006.75

If the quotient is a whole number, then 4 and 4,081,006.75 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 16,324,027
-1 16,324,027
Keep dividing by the next highest number until you cannot divide anymore.

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

141611072,5013,7214,3876,527152,561267,607398,14716,324,027
-1-41-61-107-2,501-3,721-4,387-6,527-152,561-267,607-398,147-16,324,027

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