Q: What are the factor combinations of the number 323,230,231?

 A:
Positive:   1 x 32323023117 x 190135431483 x 21795712821 x 25211
Negative: -1 x -323230231-17 x -19013543-1483 x -217957-12821 x -25211


How do I find the factor combinations of the number 323,230,231?

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 323,230,231, 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.

1 323,230,231
-1 -323,230,231

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 323,230,231.

Example:
1 x 323,230,231 = 323,230,231
and
-1 x -323,230,231 = 323,230,231
Notice both answers equal 323,230,231

With that explanation out of the way, let's continue. Next, we take the number 323,230,231 and divide it by 2:

323,230,231 ÷ 2 = 161,615,115.5

If the quotient is a whole number, then 2 and 161,615,115.5 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:

1 323,230,231
-1 -323,230,231

Now, we try dividing 323,230,231 by 3:

323,230,231 ÷ 3 = 107,743,410.3333

If the quotient is a whole number, then 3 and 107,743,410.3333 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:

1 323,230,231
-1 -323,230,231

Let's try dividing by 4:

323,230,231 ÷ 4 = 80,807,557.75

If the quotient is a whole number, then 4 and 80,807,557.75 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:

1 323,230,231
-1 323,230,231
Keep dividing by the next highest number until you cannot divide anymore.

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

1171,48312,82125,211217,95719,013,543323,230,231
-1-17-1,483-12,821-25,211-217,957-19,013,543-323,230,231

More Examples

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