Q: What are the factor combinations of the number 9,404,447?

 A:
Positive:   1 x 940444713 x 72341923 x 40888971 x 132457299 x 31453443 x 21229923 x 101891633 x 5759
Negative: -1 x -9404447-13 x -723419-23 x -408889-71 x -132457-299 x -31453-443 x -21229-923 x -10189-1633 x -5759


How do I find the factor combinations of the number 9,404,447?

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 9,404,447, 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 9,404,447
-1 -9,404,447

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 9,404,447.

Example:
1 x 9,404,447 = 9,404,447
and
-1 x -9,404,447 = 9,404,447
Notice both answers equal 9,404,447

With that explanation out of the way, let's continue. Next, we take the number 9,404,447 and divide it by 2:

9,404,447 ÷ 2 = 4,702,223.5

If the quotient is a whole number, then 2 and 4,702,223.5 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 9,404,447
-1 -9,404,447

Now, we try dividing 9,404,447 by 3:

9,404,447 ÷ 3 = 3,134,815.6667

If the quotient is a whole number, then 3 and 3,134,815.6667 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 9,404,447
-1 -9,404,447

Let's try dividing by 4:

9,404,447 ÷ 4 = 2,351,111.75

If the quotient is a whole number, then 4 and 2,351,111.75 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 9,404,447
-1 9,404,447
Keep dividing by the next highest number until you cannot divide anymore.

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

11323712994439231,6335,75910,18921,22931,453132,457408,889723,4199,404,447
-1-13-23-71-299-443-923-1,633-5,759-10,189-21,229-31,453-132,457-408,889-723,419-9,404,447

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 9,404,447:


Ask a Question