Q: What are the factor combinations of the number 324,442,013?

 A:
Positive:   1 x 3244420137 x 46348859271 x 11972031897 x 171029
Negative: -1 x -324442013-7 x -46348859-271 x -1197203-1897 x -171029


How do I find the factor combinations of the number 324,442,013?

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 324,442,013, 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.

1 324,442,013
-1 -324,442,013

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 324,442,013.

Example:
1 x 324,442,013 = 324,442,013
and
-1 x -324,442,013 = 324,442,013
Notice both answers equal 324,442,013

With that explanation out of the way, let's continue. Next, we take the number 324,442,013 and divide it by 2:

324,442,013 ÷ 2 = 162,221,006.5

If the quotient is a whole number, then 2 and 162,221,006.5 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:

1 324,442,013
-1 -324,442,013

Now, we try dividing 324,442,013 by 3:

324,442,013 ÷ 3 = 108,147,337.6667

If the quotient is a whole number, then 3 and 108,147,337.6667 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:

1 324,442,013
-1 -324,442,013

Let's try dividing by 4:

324,442,013 ÷ 4 = 81,110,503.25

If the quotient is a whole number, then 4 and 81,110,503.25 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:

1 324,442,013
-1 324,442,013
Keep dividing by the next highest number until you cannot divide anymore.

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

172711,897171,0291,197,20346,348,859324,442,013
-1-7-271-1,897-171,029-1,197,203-46,348,859-324,442,013

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 324,442,013:


Ask a Question