Q: What are the factor combinations of the number 28,330,027?

 A:
Positive:   1 x 2833002711 x 2575457
Negative: -1 x -28330027-11 x -2575457


How do I find the factor combinations of the number 28,330,027?

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 28,330,027, 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 28,330,027
-1 -28,330,027

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 28,330,027.

Example:
1 x 28,330,027 = 28,330,027
and
-1 x -28,330,027 = 28,330,027
Notice both answers equal 28,330,027

With that explanation out of the way, let's continue. Next, we take the number 28,330,027 and divide it by 2:

28,330,027 ÷ 2 = 14,165,013.5

If the quotient is a whole number, then 2 and 14,165,013.5 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 28,330,027
-1 -28,330,027

Now, we try dividing 28,330,027 by 3:

28,330,027 ÷ 3 = 9,443,342.3333

If the quotient is a whole number, then 3 and 9,443,342.3333 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 28,330,027
-1 -28,330,027

Let's try dividing by 4:

28,330,027 ÷ 4 = 7,082,506.75

If the quotient is a whole number, then 4 and 7,082,506.75 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 28,330,027
-1 28,330,027
Keep dividing by the next highest number until you cannot divide anymore.

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

1112,575,45728,330,027
-1-11-2,575,457-28,330,027

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 28,330,027:


Ask a Question