Q: What are the factor combinations of the number 333,407,028?

 A:
Positive:   1 x 3334070282 x 1667035143 x 1111356764 x 833517576 x 5556783812 x 27783919
Negative: -1 x -333407028-2 x -166703514-3 x -111135676-4 x -83351757-6 x -55567838-12 x -27783919


How do I find the factor combinations of the number 333,407,028?

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 333,407,028, 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.

1 333,407,028
-1 -333,407,028

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 333,407,028.

Example:
1 x 333,407,028 = 333,407,028
and
-1 x -333,407,028 = 333,407,028
Notice both answers equal 333,407,028

With that explanation out of the way, let's continue. Next, we take the number 333,407,028 and divide it by 2:

333,407,028 ÷ 2 = 166,703,514

If the quotient is a whole number, then 2 and 166,703,514 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 166,703,514 333,407,028
-1 -2 -166,703,514 -333,407,028

Now, we try dividing 333,407,028 by 3:

333,407,028 ÷ 3 = 111,135,676

If the quotient is a whole number, then 3 and 111,135,676 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 111,135,676 166,703,514 333,407,028
-1 -2 -3 -111,135,676 -166,703,514 -333,407,028

Let's try dividing by 4:

333,407,028 ÷ 4 = 83,351,757

If the quotient is a whole number, then 4 and 83,351,757 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 83,351,757 111,135,676 166,703,514 333,407,028
-1 -2 -3 -4 -83,351,757 -111,135,676 -166,703,514 333,407,028
Keep dividing by the next highest number until you cannot divide anymore.

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

123461227,783,91955,567,83883,351,757111,135,676166,703,514333,407,028
-1-2-3-4-6-12-27,783,919-55,567,838-83,351,757-111,135,676-166,703,514-333,407,028

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