Q: What are the factor combinations of the number 324,115,433?

 A:
Positive:   1 x 32411543319 x 1705870779 x 4102727181 x 17906931193 x 2716811501 x 2159333439 x 9424714299 x 22667
Negative: -1 x -324115433-19 x -17058707-79 x -4102727-181 x -1790693-1193 x -271681-1501 x -215933-3439 x -94247-14299 x -22667


How do I find the factor combinations of the number 324,115,433?

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 324,115,433, 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.

1 324,115,433
-1 -324,115,433

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 324,115,433.

Example:
1 x 324,115,433 = 324,115,433
and
-1 x -324,115,433 = 324,115,433
Notice both answers equal 324,115,433

With that explanation out of the way, let's continue. Next, we take the number 324,115,433 and divide it by 2:

324,115,433 ÷ 2 = 162,057,716.5

If the quotient is a whole number, then 2 and 162,057,716.5 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:

1 324,115,433
-1 -324,115,433

Now, we try dividing 324,115,433 by 3:

324,115,433 ÷ 3 = 108,038,477.6667

If the quotient is a whole number, then 3 and 108,038,477.6667 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:

1 324,115,433
-1 -324,115,433

Let's try dividing by 4:

324,115,433 ÷ 4 = 81,028,858.25

If the quotient is a whole number, then 4 and 81,028,858.25 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:

1 324,115,433
-1 324,115,433
Keep dividing by the next highest number until you cannot divide anymore.

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

119791811,1931,5013,43914,29922,66794,247215,933271,6811,790,6934,102,72717,058,707324,115,433
-1-19-79-181-1,193-1,501-3,439-14,299-22,667-94,247-215,933-271,681-1,790,693-4,102,727-17,058,707-324,115,433

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