Q: What are the factor combinations of the number 320,032,021?

 A:
Positive:   1 x 32003202117 x 18825413103 x 3107107193 x 1658197947 x 3379431751 x 1827713281 x 9754116099 x 19879
Negative: -1 x -320032021-17 x -18825413-103 x -3107107-193 x -1658197-947 x -337943-1751 x -182771-3281 x -97541-16099 x -19879


How do I find the factor combinations of the number 320,032,021?

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 320,032,021, 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.

1 320,032,021
-1 -320,032,021

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 320,032,021.

Example:
1 x 320,032,021 = 320,032,021
and
-1 x -320,032,021 = 320,032,021
Notice both answers equal 320,032,021

With that explanation out of the way, let's continue. Next, we take the number 320,032,021 and divide it by 2:

320,032,021 ÷ 2 = 160,016,010.5

If the quotient is a whole number, then 2 and 160,016,010.5 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:

1 320,032,021
-1 -320,032,021

Now, we try dividing 320,032,021 by 3:

320,032,021 ÷ 3 = 106,677,340.3333

If the quotient is a whole number, then 3 and 106,677,340.3333 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:

1 320,032,021
-1 -320,032,021

Let's try dividing by 4:

320,032,021 ÷ 4 = 80,008,005.25

If the quotient is a whole number, then 4 and 80,008,005.25 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:

1 320,032,021
-1 320,032,021
Keep dividing by the next highest number until you cannot divide anymore.

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

1171031939471,7513,28116,09919,87997,541182,771337,9431,658,1973,107,10718,825,413320,032,021
-1-17-103-193-947-1,751-3,281-16,099-19,879-97,541-182,771-337,943-1,658,197-3,107,107-18,825,413-320,032,021

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 320,032,021:


Ask a Question