Q: What are the factor combinations of the number 303,324,335?

 A:
Positive:   1 x 3033243355 x 6066486737 x 819795597 x 3127055185 x 1639591485 x 6254113589 x 8451516903 x 17945
Negative: -1 x -303324335-5 x -60664867-37 x -8197955-97 x -3127055-185 x -1639591-485 x -625411-3589 x -84515-16903 x -17945


How do I find the factor combinations of the number 303,324,335?

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 303,324,335, 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.

1 303,324,335
-1 -303,324,335

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 303,324,335.

Example:
1 x 303,324,335 = 303,324,335
and
-1 x -303,324,335 = 303,324,335
Notice both answers equal 303,324,335

With that explanation out of the way, let's continue. Next, we take the number 303,324,335 and divide it by 2:

303,324,335 ÷ 2 = 151,662,167.5

If the quotient is a whole number, then 2 and 151,662,167.5 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:

1 303,324,335
-1 -303,324,335

Now, we try dividing 303,324,335 by 3:

303,324,335 ÷ 3 = 101,108,111.6667

If the quotient is a whole number, then 3 and 101,108,111.6667 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:

1 303,324,335
-1 -303,324,335

Let's try dividing by 4:

303,324,335 ÷ 4 = 75,831,083.75

If the quotient is a whole number, then 4 and 75,831,083.75 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:

1 303,324,335
-1 303,324,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1537971854853,58916,90317,94584,515625,4111,639,5913,127,0558,197,95560,664,867303,324,335
-1-5-37-97-185-485-3,589-16,903-17,945-84,515-625,411-1,639,591-3,127,055-8,197,955-60,664,867-303,324,335

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