Q: What are the factor combinations of the number 230,331,311?

 A:
Positive:   1 x 2303313117 x 3290447329 x 794245949 x 4700639203 x 11346371421 x 162091
Negative: -1 x -230331311-7 x -32904473-29 x -7942459-49 x -4700639-203 x -1134637-1421 x -162091


How do I find the factor combinations of the number 230,331,311?

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 230,331,311, 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.

1 230,331,311
-1 -230,331,311

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 230,331,311.

Example:
1 x 230,331,311 = 230,331,311
and
-1 x -230,331,311 = 230,331,311
Notice both answers equal 230,331,311

With that explanation out of the way, let's continue. Next, we take the number 230,331,311 and divide it by 2:

230,331,311 ÷ 2 = 115,165,655.5

If the quotient is a whole number, then 2 and 115,165,655.5 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:

1 230,331,311
-1 -230,331,311

Now, we try dividing 230,331,311 by 3:

230,331,311 ÷ 3 = 76,777,103.6667

If the quotient is a whole number, then 3 and 76,777,103.6667 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:

1 230,331,311
-1 -230,331,311

Let's try dividing by 4:

230,331,311 ÷ 4 = 57,582,827.75

If the quotient is a whole number, then 4 and 57,582,827.75 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:

1 230,331,311
-1 230,331,311
Keep dividing by the next highest number until you cannot divide anymore.

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

1729492031,421162,0911,134,6374,700,6397,942,45932,904,473230,331,311
-1-7-29-49-203-1,421-162,091-1,134,637-4,700,639-7,942,459-32,904,473-230,331,311

More Examples

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