Q: What are the factor combinations of the number 324,504,113?

 A:
Positive:   1 x 32450411329 x 1118979779 x 4107647197 x 1647229719 x 4513272291 x 1416435713 x 5680115563 x 20851
Negative: -1 x -324504113-29 x -11189797-79 x -4107647-197 x -1647229-719 x -451327-2291 x -141643-5713 x -56801-15563 x -20851


How do I find the factor combinations of the number 324,504,113?

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 324,504,113, 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.

1 324,504,113
-1 -324,504,113

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 324,504,113.

Example:
1 x 324,504,113 = 324,504,113
and
-1 x -324,504,113 = 324,504,113
Notice both answers equal 324,504,113

With that explanation out of the way, let's continue. Next, we take the number 324,504,113 and divide it by 2:

324,504,113 ÷ 2 = 162,252,056.5

If the quotient is a whole number, then 2 and 162,252,056.5 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:

1 324,504,113
-1 -324,504,113

Now, we try dividing 324,504,113 by 3:

324,504,113 ÷ 3 = 108,168,037.6667

If the quotient is a whole number, then 3 and 108,168,037.6667 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:

1 324,504,113
-1 -324,504,113

Let's try dividing by 4:

324,504,113 ÷ 4 = 81,126,028.25

If the quotient is a whole number, then 4 and 81,126,028.25 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:

1 324,504,113
-1 324,504,113
Keep dividing by the next highest number until you cannot divide anymore.

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

129791977192,2915,71315,56320,85156,801141,643451,3271,647,2294,107,64711,189,797324,504,113
-1-29-79-197-719-2,291-5,713-15,563-20,851-56,801-141,643-451,327-1,647,229-4,107,647-11,189,797-324,504,113

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