Q: What are the factor combinations of the number 3,303,329?

 A:
Positive:   1 x 330332923 x 14362331 x 10655941 x 80569113 x 29233713 x 4633943 x 35031271 x 2599
Negative: -1 x -3303329-23 x -143623-31 x -106559-41 x -80569-113 x -29233-713 x -4633-943 x -3503-1271 x -2599


How do I find the factor combinations of the number 3,303,329?

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 3,303,329, 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 3,303,329
-1 -3,303,329

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 3,303,329.

Example:
1 x 3,303,329 = 3,303,329
and
-1 x -3,303,329 = 3,303,329
Notice both answers equal 3,303,329

With that explanation out of the way, let's continue. Next, we take the number 3,303,329 and divide it by 2:

3,303,329 ÷ 2 = 1,651,664.5

If the quotient is a whole number, then 2 and 1,651,664.5 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 3,303,329
-1 -3,303,329

Now, we try dividing 3,303,329 by 3:

3,303,329 ÷ 3 = 1,101,109.6667

If the quotient is a whole number, then 3 and 1,101,109.6667 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 3,303,329
-1 -3,303,329

Let's try dividing by 4:

3,303,329 ÷ 4 = 825,832.25

If the quotient is a whole number, then 4 and 825,832.25 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 3,303,329
-1 3,303,329
Keep dividing by the next highest number until you cannot divide anymore.

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

12331411137139431,2712,5993,5034,63329,23380,569106,559143,6233,303,329
-1-23-31-41-113-713-943-1,271-2,599-3,503-4,633-29,233-80,569-106,559-143,623-3,303,329

More Examples

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