Q: What are the factor combinations of the number 303,130,133?

 A:
Positive:   1 x 30313013323 x 13179571103 x 2943011199 x 1523267643 x 4714312369 x 1279574577 x 6622914789 x 20497
Negative: -1 x -303130133-23 x -13179571-103 x -2943011-199 x -1523267-643 x -471431-2369 x -127957-4577 x -66229-14789 x -20497


How do I find the factor combinations of the number 303,130,133?

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 303,130,133, 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.

1 303,130,133
-1 -303,130,133

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 303,130,133.

Example:
1 x 303,130,133 = 303,130,133
and
-1 x -303,130,133 = 303,130,133
Notice both answers equal 303,130,133

With that explanation out of the way, let's continue. Next, we take the number 303,130,133 and divide it by 2:

303,130,133 ÷ 2 = 151,565,066.5

If the quotient is a whole number, then 2 and 151,565,066.5 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:

1 303,130,133
-1 -303,130,133

Now, we try dividing 303,130,133 by 3:

303,130,133 ÷ 3 = 101,043,377.6667

If the quotient is a whole number, then 3 and 101,043,377.6667 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:

1 303,130,133
-1 -303,130,133

Let's try dividing by 4:

303,130,133 ÷ 4 = 75,782,533.25

If the quotient is a whole number, then 4 and 75,782,533.25 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:

1 303,130,133
-1 303,130,133
Keep dividing by the next highest number until you cannot divide anymore.

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

1231031996432,3694,57714,78920,49766,229127,957471,4311,523,2672,943,01113,179,571303,130,133
-1-23-103-199-643-2,369-4,577-14,789-20,497-66,229-127,957-471,431-1,523,267-2,943,011-13,179,571-303,130,133

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