Q: What are the factor combinations of the number 16,120,217?

 A:
Positive:   1 x 1612021723 x 70087931 x 520007529 x 30473713 x 22609983 x 16399
Negative: -1 x -16120217-23 x -700879-31 x -520007-529 x -30473-713 x -22609-983 x -16399


How do I find the factor combinations of the number 16,120,217?

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 16,120,217, 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 16,120,217
-1 -16,120,217

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 16,120,217.

Example:
1 x 16,120,217 = 16,120,217
and
-1 x -16,120,217 = 16,120,217
Notice both answers equal 16,120,217

With that explanation out of the way, let's continue. Next, we take the number 16,120,217 and divide it by 2:

16,120,217 ÷ 2 = 8,060,108.5

If the quotient is a whole number, then 2 and 8,060,108.5 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 16,120,217
-1 -16,120,217

Now, we try dividing 16,120,217 by 3:

16,120,217 ÷ 3 = 5,373,405.6667

If the quotient is a whole number, then 3 and 5,373,405.6667 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 16,120,217
-1 -16,120,217

Let's try dividing by 4:

16,120,217 ÷ 4 = 4,030,054.25

If the quotient is a whole number, then 4 and 4,030,054.25 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 16,120,217
-1 16,120,217
Keep dividing by the next highest number until you cannot divide anymore.

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

1233152971398316,39922,60930,473520,007700,87916,120,217
-1-23-31-529-713-983-16,399-22,609-30,473-520,007-700,879-16,120,217

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 16,120,217:


Ask a Question