Q: What are the factor combinations of the number 2,240,909?

 A:
Positive:   1 x 224090911 x 203719137 x 163571487 x 1507
Negative: -1 x -2240909-11 x -203719-137 x -16357-1487 x -1507


How do I find the factor combinations of the number 2,240,909?

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 2,240,909, 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 2,240,909
-1 -2,240,909

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 2,240,909.

Example:
1 x 2,240,909 = 2,240,909
and
-1 x -2,240,909 = 2,240,909
Notice both answers equal 2,240,909

With that explanation out of the way, let's continue. Next, we take the number 2,240,909 and divide it by 2:

2,240,909 ÷ 2 = 1,120,454.5

If the quotient is a whole number, then 2 and 1,120,454.5 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 2,240,909
-1 -2,240,909

Now, we try dividing 2,240,909 by 3:

2,240,909 ÷ 3 = 746,969.6667

If the quotient is a whole number, then 3 and 746,969.6667 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 2,240,909
-1 -2,240,909

Let's try dividing by 4:

2,240,909 ÷ 4 = 560,227.25

If the quotient is a whole number, then 4 and 560,227.25 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 2,240,909
-1 2,240,909
Keep dividing by the next highest number until you cannot divide anymore.

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

1111371,4871,50716,357203,7192,240,909
-1-11-137-1,487-1,507-16,357-203,719-2,240,909

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 2,240,909:


Ask a Question