Q: What are the factor combinations of the number 9,509,443?

 A:
Positive:   1 x 950944317 x 55937919 x 50049759 x 161177323 x 29441499 x 190571003 x 94811121 x 8483
Negative: -1 x -9509443-17 x -559379-19 x -500497-59 x -161177-323 x -29441-499 x -19057-1003 x -9481-1121 x -8483


How do I find the factor combinations of the number 9,509,443?

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 9,509,443, 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 9,509,443
-1 -9,509,443

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 9,509,443.

Example:
1 x 9,509,443 = 9,509,443
and
-1 x -9,509,443 = 9,509,443
Notice both answers equal 9,509,443

With that explanation out of the way, let's continue. Next, we take the number 9,509,443 and divide it by 2:

9,509,443 ÷ 2 = 4,754,721.5

If the quotient is a whole number, then 2 and 4,754,721.5 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 9,509,443
-1 -9,509,443

Now, we try dividing 9,509,443 by 3:

9,509,443 ÷ 3 = 3,169,814.3333

If the quotient is a whole number, then 3 and 3,169,814.3333 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 9,509,443
-1 -9,509,443

Let's try dividing by 4:

9,509,443 ÷ 4 = 2,377,360.75

If the quotient is a whole number, then 4 and 2,377,360.75 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 9,509,443
-1 9,509,443
Keep dividing by the next highest number until you cannot divide anymore.

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

11719593234991,0031,1218,4839,48119,05729,441161,177500,497559,3799,509,443
-1-17-19-59-323-499-1,003-1,121-8,483-9,481-19,057-29,441-161,177-500,497-559,379-9,509,443

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 9,509,443:


Ask a Question