Q: What are the factor combinations of the number 320,110,301?

 A:
Positive:   1 x 3201103017 x 4573004353 x 6039817103 x 3107867371 x 862831721 x 4439815459 x 586398377 x 38213
Negative: -1 x -320110301-7 x -45730043-53 x -6039817-103 x -3107867-371 x -862831-721 x -443981-5459 x -58639-8377 x -38213


How do I find the factor combinations of the number 320,110,301?

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 320,110,301, 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.

1 320,110,301
-1 -320,110,301

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 320,110,301.

Example:
1 x 320,110,301 = 320,110,301
and
-1 x -320,110,301 = 320,110,301
Notice both answers equal 320,110,301

With that explanation out of the way, let's continue. Next, we take the number 320,110,301 and divide it by 2:

320,110,301 ÷ 2 = 160,055,150.5

If the quotient is a whole number, then 2 and 160,055,150.5 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:

1 320,110,301
-1 -320,110,301

Now, we try dividing 320,110,301 by 3:

320,110,301 ÷ 3 = 106,703,433.6667

If the quotient is a whole number, then 3 and 106,703,433.6667 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:

1 320,110,301
-1 -320,110,301

Let's try dividing by 4:

320,110,301 ÷ 4 = 80,027,575.25

If the quotient is a whole number, then 4 and 80,027,575.25 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:

1 320,110,301
-1 320,110,301
Keep dividing by the next highest number until you cannot divide anymore.

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

17531033717215,4598,37738,21358,639443,981862,8313,107,8676,039,81745,730,043320,110,301
-1-7-53-103-371-721-5,459-8,377-38,213-58,639-443,981-862,831-3,107,867-6,039,817-45,730,043-320,110,301

More Examples

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