Q: What are the factor combinations of the number 323,310,439?

 A:
Positive:   1 x 32331043931 x 104293691993 x 1622235233 x 61783
Negative: -1 x -323310439-31 x -10429369-1993 x -162223-5233 x -61783


How do I find the factor combinations of the number 323,310,439?

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 323,310,439, 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.

1 323,310,439
-1 -323,310,439

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 323,310,439.

Example:
1 x 323,310,439 = 323,310,439
and
-1 x -323,310,439 = 323,310,439
Notice both answers equal 323,310,439

With that explanation out of the way, let's continue. Next, we take the number 323,310,439 and divide it by 2:

323,310,439 ÷ 2 = 161,655,219.5

If the quotient is a whole number, then 2 and 161,655,219.5 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:

1 323,310,439
-1 -323,310,439

Now, we try dividing 323,310,439 by 3:

323,310,439 ÷ 3 = 107,770,146.3333

If the quotient is a whole number, then 3 and 107,770,146.3333 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:

1 323,310,439
-1 -323,310,439

Let's try dividing by 4:

323,310,439 ÷ 4 = 80,827,609.75

If the quotient is a whole number, then 4 and 80,827,609.75 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:

1 323,310,439
-1 323,310,439
Keep dividing by the next highest number until you cannot divide anymore.

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

1311,9935,23361,783162,22310,429,369323,310,439
-1-31-1,993-5,233-61,783-162,223-10,429,369-323,310,439

More Examples

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