Q: What are the factor combinations of the number 320,034,013?

 A:
Positive:   1 x 32003401313 x 246180011069 x 29937713897 x 23029
Negative: -1 x -320034013-13 x -24618001-1069 x -299377-13897 x -23029


How do I find the factor combinations of the number 320,034,013?

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 320,034,013, 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.

1 320,034,013
-1 -320,034,013

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 320,034,013.

Example:
1 x 320,034,013 = 320,034,013
and
-1 x -320,034,013 = 320,034,013
Notice both answers equal 320,034,013

With that explanation out of the way, let's continue. Next, we take the number 320,034,013 and divide it by 2:

320,034,013 ÷ 2 = 160,017,006.5

If the quotient is a whole number, then 2 and 160,017,006.5 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:

1 320,034,013
-1 -320,034,013

Now, we try dividing 320,034,013 by 3:

320,034,013 ÷ 3 = 106,678,004.3333

If the quotient is a whole number, then 3 and 106,678,004.3333 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:

1 320,034,013
-1 -320,034,013

Let's try dividing by 4:

320,034,013 ÷ 4 = 80,008,503.25

If the quotient is a whole number, then 4 and 80,008,503.25 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:

1 320,034,013
-1 320,034,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1131,06913,89723,029299,37724,618,001320,034,013
-1-13-1,069-13,897-23,029-299,377-24,618,001-320,034,013

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 320,034,013:


Ask a Question