Q: What are the factor combinations of the number 303,200,023?

 A:
Positive:   1 x 3032000237 x 43314289167 x 1815569433 x 700231599 x 5061771169 x 2593673031 x 1000334193 x 72311
Negative: -1 x -303200023-7 x -43314289-167 x -1815569-433 x -700231-599 x -506177-1169 x -259367-3031 x -100033-4193 x -72311


How do I find the factor combinations of the number 303,200,023?

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 303,200,023, 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.

1 303,200,023
-1 -303,200,023

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 303,200,023.

Example:
1 x 303,200,023 = 303,200,023
and
-1 x -303,200,023 = 303,200,023
Notice both answers equal 303,200,023

With that explanation out of the way, let's continue. Next, we take the number 303,200,023 and divide it by 2:

303,200,023 ÷ 2 = 151,600,011.5

If the quotient is a whole number, then 2 and 151,600,011.5 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:

1 303,200,023
-1 -303,200,023

Now, we try dividing 303,200,023 by 3:

303,200,023 ÷ 3 = 101,066,674.3333

If the quotient is a whole number, then 3 and 101,066,674.3333 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:

1 303,200,023
-1 -303,200,023

Let's try dividing by 4:

303,200,023 ÷ 4 = 75,800,005.75

If the quotient is a whole number, then 4 and 75,800,005.75 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:

1 303,200,023
-1 303,200,023
Keep dividing by the next highest number until you cannot divide anymore.

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

171674335991,1693,0314,19372,311100,033259,367506,177700,2311,815,56943,314,289303,200,023
-1-7-167-433-599-1,169-3,031-4,193-72,311-100,033-259,367-506,177-700,231-1,815,569-43,314,289-303,200,023

More Examples

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