Q: What are the factor combinations of the number 323,540,327?

 A:
Positive:   1 x 32354032711 x 2941275729 x 11156563121 x 2673887319 x 10142333509 x 92203
Negative: -1 x -323540327-11 x -29412757-29 x -11156563-121 x -2673887-319 x -1014233-3509 x -92203


How do I find the factor combinations of the number 323,540,327?

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 323,540,327, 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.

1 323,540,327
-1 -323,540,327

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 323,540,327.

Example:
1 x 323,540,327 = 323,540,327
and
-1 x -323,540,327 = 323,540,327
Notice both answers equal 323,540,327

With that explanation out of the way, let's continue. Next, we take the number 323,540,327 and divide it by 2:

323,540,327 ÷ 2 = 161,770,163.5

If the quotient is a whole number, then 2 and 161,770,163.5 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:

1 323,540,327
-1 -323,540,327

Now, we try dividing 323,540,327 by 3:

323,540,327 ÷ 3 = 107,846,775.6667

If the quotient is a whole number, then 3 and 107,846,775.6667 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:

1 323,540,327
-1 -323,540,327

Let's try dividing by 4:

323,540,327 ÷ 4 = 80,885,081.75

If the quotient is a whole number, then 4 and 80,885,081.75 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:

1 323,540,327
-1 323,540,327
Keep dividing by the next highest number until you cannot divide anymore.

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

111291213193,50992,2031,014,2332,673,88711,156,56329,412,757323,540,327
-1-11-29-121-319-3,509-92,203-1,014,233-2,673,887-11,156,563-29,412,757-323,540,327

More Examples

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