Q: What are the factor combinations of the number 333,321,131?

 A:
Positive:   1 x 33332113111 x 3030192113 x 25640087143 x 2330917211 x 15797212321 x 1436112743 x 12151711047 x 30173
Negative: -1 x -333321131-11 x -30301921-13 x -25640087-143 x -2330917-211 x -1579721-2321 x -143611-2743 x -121517-11047 x -30173


How do I find the factor combinations of the number 333,321,131?

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 333,321,131, 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.

1 333,321,131
-1 -333,321,131

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 333,321,131.

Example:
1 x 333,321,131 = 333,321,131
and
-1 x -333,321,131 = 333,321,131
Notice both answers equal 333,321,131

With that explanation out of the way, let's continue. Next, we take the number 333,321,131 and divide it by 2:

333,321,131 ÷ 2 = 166,660,565.5

If the quotient is a whole number, then 2 and 166,660,565.5 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:

1 333,321,131
-1 -333,321,131

Now, we try dividing 333,321,131 by 3:

333,321,131 ÷ 3 = 111,107,043.6667

If the quotient is a whole number, then 3 and 111,107,043.6667 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:

1 333,321,131
-1 -333,321,131

Let's try dividing by 4:

333,321,131 ÷ 4 = 83,330,282.75

If the quotient is a whole number, then 4 and 83,330,282.75 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:

1 333,321,131
-1 333,321,131
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432112,3212,74311,04730,173121,517143,6111,579,7212,330,91725,640,08730,301,921333,321,131
-1-11-13-143-211-2,321-2,743-11,047-30,173-121,517-143,611-1,579,721-2,330,917-25,640,087-30,301,921-333,321,131

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