Q: What are the factor combinations of the number 16,301,687?

 A:
Positive:   1 x 1630168723 x 70876943 x 37910953 x 307579311 x 52417989 x 164831219 x 133732279 x 7153
Negative: -1 x -16301687-23 x -708769-43 x -379109-53 x -307579-311 x -52417-989 x -16483-1219 x -13373-2279 x -7153


How do I find the factor combinations of the number 16,301,687?

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 16,301,687, 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 16,301,687
-1 -16,301,687

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 16,301,687.

Example:
1 x 16,301,687 = 16,301,687
and
-1 x -16,301,687 = 16,301,687
Notice both answers equal 16,301,687

With that explanation out of the way, let's continue. Next, we take the number 16,301,687 and divide it by 2:

16,301,687 ÷ 2 = 8,150,843.5

If the quotient is a whole number, then 2 and 8,150,843.5 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 16,301,687
-1 -16,301,687

Now, we try dividing 16,301,687 by 3:

16,301,687 ÷ 3 = 5,433,895.6667

If the quotient is a whole number, then 3 and 5,433,895.6667 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 16,301,687
-1 -16,301,687

Let's try dividing by 4:

16,301,687 ÷ 4 = 4,075,421.75

If the quotient is a whole number, then 4 and 4,075,421.75 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 16,301,687
-1 16,301,687
Keep dividing by the next highest number until you cannot divide anymore.

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

12343533119891,2192,2797,15313,37316,48352,417307,579379,109708,76916,301,687
-1-23-43-53-311-989-1,219-2,279-7,153-13,373-16,483-52,417-307,579-379,109-708,769-16,301,687

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