Q: What are the factor combinations of the number 3,020,797?

 A:
Positive:   1 x 302079713 x 23236923 x 131339299 x 10103
Negative: -1 x -3020797-13 x -232369-23 x -131339-299 x -10103


How do I find the factor combinations of the number 3,020,797?

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 3,020,797, 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 3,020,797
-1 -3,020,797

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 3,020,797.

Example:
1 x 3,020,797 = 3,020,797
and
-1 x -3,020,797 = 3,020,797
Notice both answers equal 3,020,797

With that explanation out of the way, let's continue. Next, we take the number 3,020,797 and divide it by 2:

3,020,797 ÷ 2 = 1,510,398.5

If the quotient is a whole number, then 2 and 1,510,398.5 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 3,020,797
-1 -3,020,797

Now, we try dividing 3,020,797 by 3:

3,020,797 ÷ 3 = 1,006,932.3333

If the quotient is a whole number, then 3 and 1,006,932.3333 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 3,020,797
-1 -3,020,797

Let's try dividing by 4:

3,020,797 ÷ 4 = 755,199.25

If the quotient is a whole number, then 4 and 755,199.25 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 3,020,797
-1 3,020,797
Keep dividing by the next highest number until you cannot divide anymore.

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

1132329910,103131,339232,3693,020,797
-1-13-23-299-10,103-131,339-232,369-3,020,797

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,020,797:


Ask a Question