Q: What are the factor combinations of the number 3,301,331?

 A:
Positive:   1 x 330133111 x 30012129 x 11383979 x 41789131 x 25201319 x 10349869 x 37991441 x 2291
Negative: -1 x -3301331-11 x -300121-29 x -113839-79 x -41789-131 x -25201-319 x -10349-869 x -3799-1441 x -2291


How do I find the factor combinations of the number 3,301,331?

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 3,301,331, 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 3,301,331
-1 -3,301,331

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 3,301,331.

Example:
1 x 3,301,331 = 3,301,331
and
-1 x -3,301,331 = 3,301,331
Notice both answers equal 3,301,331

With that explanation out of the way, let's continue. Next, we take the number 3,301,331 and divide it by 2:

3,301,331 ÷ 2 = 1,650,665.5

If the quotient is a whole number, then 2 and 1,650,665.5 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 3,301,331
-1 -3,301,331

Now, we try dividing 3,301,331 by 3:

3,301,331 ÷ 3 = 1,100,443.6667

If the quotient is a whole number, then 3 and 1,100,443.6667 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 3,301,331
-1 -3,301,331

Let's try dividing by 4:

3,301,331 ÷ 4 = 825,332.75

If the quotient is a whole number, then 4 and 825,332.75 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 3,301,331
-1 3,301,331
Keep dividing by the next highest number until you cannot divide anymore.

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

11129791313198691,4412,2913,79910,34925,20141,789113,839300,1213,301,331
-1-11-29-79-131-319-869-1,441-2,291-3,799-10,349-25,201-41,789-113,839-300,121-3,301,331

More Examples

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