Q: What are the factor combinations of the number 303,322,331?

 A:
Positive:   1 x 30332233113 x 23332487103 x 2944877359 x 844909631 x 4807011339 x 2265294667 x 649938203 x 36977
Negative: -1 x -303322331-13 x -23332487-103 x -2944877-359 x -844909-631 x -480701-1339 x -226529-4667 x -64993-8203 x -36977


How do I find the factor combinations of the number 303,322,331?

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 303,322,331, 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.

1 303,322,331
-1 -303,322,331

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 303,322,331.

Example:
1 x 303,322,331 = 303,322,331
and
-1 x -303,322,331 = 303,322,331
Notice both answers equal 303,322,331

With that explanation out of the way, let's continue. Next, we take the number 303,322,331 and divide it by 2:

303,322,331 ÷ 2 = 151,661,165.5

If the quotient is a whole number, then 2 and 151,661,165.5 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:

1 303,322,331
-1 -303,322,331

Now, we try dividing 303,322,331 by 3:

303,322,331 ÷ 3 = 101,107,443.6667

If the quotient is a whole number, then 3 and 101,107,443.6667 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:

1 303,322,331
-1 -303,322,331

Let's try dividing by 4:

303,322,331 ÷ 4 = 75,830,582.75

If the quotient is a whole number, then 4 and 75,830,582.75 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:

1 303,322,331
-1 303,322,331
Keep dividing by the next highest number until you cannot divide anymore.

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

1131033596311,3394,6678,20336,97764,993226,529480,701844,9092,944,87723,332,487303,322,331
-1-13-103-359-631-1,339-4,667-8,203-36,977-64,993-226,529-480,701-844,909-2,944,877-23,332,487-303,322,331

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