Q: What are the factor combinations of the number 324,340,241?

 A:
Positive:   1 x 32434024119 x 1707053973 x 4443017379 x 855779617 x 5256731387 x 2338437201 x 4504111723 x 27667
Negative: -1 x -324340241-19 x -17070539-73 x -4443017-379 x -855779-617 x -525673-1387 x -233843-7201 x -45041-11723 x -27667


How do I find the factor combinations of the number 324,340,241?

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 324,340,241, 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.

1 324,340,241
-1 -324,340,241

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 324,340,241.

Example:
1 x 324,340,241 = 324,340,241
and
-1 x -324,340,241 = 324,340,241
Notice both answers equal 324,340,241

With that explanation out of the way, let's continue. Next, we take the number 324,340,241 and divide it by 2:

324,340,241 ÷ 2 = 162,170,120.5

If the quotient is a whole number, then 2 and 162,170,120.5 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:

1 324,340,241
-1 -324,340,241

Now, we try dividing 324,340,241 by 3:

324,340,241 ÷ 3 = 108,113,413.6667

If the quotient is a whole number, then 3 and 108,113,413.6667 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:

1 324,340,241
-1 -324,340,241

Let's try dividing by 4:

324,340,241 ÷ 4 = 81,085,060.25

If the quotient is a whole number, then 4 and 81,085,060.25 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:

1 324,340,241
-1 324,340,241
Keep dividing by the next highest number until you cannot divide anymore.

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

119733796171,3877,20111,72327,66745,041233,843525,673855,7794,443,01717,070,539324,340,241
-1-19-73-379-617-1,387-7,201-11,723-27,667-45,041-233,843-525,673-855,779-4,443,017-17,070,539-324,340,241

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