Q: What are the factor combinations of the number 3,309,715?

 A:
Positive:   1 x 33097155 x 66194331 x 106765131 x 25265155 x 21353163 x 20305655 x 5053815 x 4061
Negative: -1 x -3309715-5 x -661943-31 x -106765-131 x -25265-155 x -21353-163 x -20305-655 x -5053-815 x -4061


How do I find the factor combinations of the number 3,309,715?

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 3,309,715, 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 3,309,715
-1 -3,309,715

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 3,309,715.

Example:
1 x 3,309,715 = 3,309,715
and
-1 x -3,309,715 = 3,309,715
Notice both answers equal 3,309,715

With that explanation out of the way, let's continue. Next, we take the number 3,309,715 and divide it by 2:

3,309,715 ÷ 2 = 1,654,857.5

If the quotient is a whole number, then 2 and 1,654,857.5 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 3,309,715
-1 -3,309,715

Now, we try dividing 3,309,715 by 3:

3,309,715 ÷ 3 = 1,103,238.3333

If the quotient is a whole number, then 3 and 1,103,238.3333 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 3,309,715
-1 -3,309,715

Let's try dividing by 4:

3,309,715 ÷ 4 = 827,428.75

If the quotient is a whole number, then 4 and 827,428.75 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 3,309,715
-1 3,309,715
Keep dividing by the next highest number until you cannot divide anymore.

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

15311311551636558154,0615,05320,30521,35325,265106,765661,9433,309,715
-1-5-31-131-155-163-655-815-4,061-5,053-20,305-21,353-25,265-106,765-661,943-3,309,715

More Examples

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