Q: What are the factor combinations of the number 9,344,843?

 A:
Positive:   1 x 934484341 x 227923317 x 29479719 x 12997
Negative: -1 x -9344843-41 x -227923-317 x -29479-719 x -12997


How do I find the factor combinations of the number 9,344,843?

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 9,344,843, 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 9,344,843
-1 -9,344,843

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 9,344,843.

Example:
1 x 9,344,843 = 9,344,843
and
-1 x -9,344,843 = 9,344,843
Notice both answers equal 9,344,843

With that explanation out of the way, let's continue. Next, we take the number 9,344,843 and divide it by 2:

9,344,843 ÷ 2 = 4,672,421.5

If the quotient is a whole number, then 2 and 4,672,421.5 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 9,344,843
-1 -9,344,843

Now, we try dividing 9,344,843 by 3:

9,344,843 ÷ 3 = 3,114,947.6667

If the quotient is a whole number, then 3 and 3,114,947.6667 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 9,344,843
-1 -9,344,843

Let's try dividing by 4:

9,344,843 ÷ 4 = 2,336,210.75

If the quotient is a whole number, then 4 and 2,336,210.75 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 9,344,843
-1 9,344,843
Keep dividing by the next highest number until you cannot divide anymore.

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

14131771912,99729,479227,9239,344,843
-1-41-317-719-12,997-29,479-227,923-9,344,843

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 9,344,843:


Ask a Question