Q: What are the factor combinations of the number 1,521,023?

 A:
Positive:   1 x 15210237 x 217289151 x 100731057 x 1439
Negative: -1 x -1521023-7 x -217289-151 x -10073-1057 x -1439


How do I find the factor combinations of the number 1,521,023?

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 1,521,023, 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 1,521,023
-1 -1,521,023

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 1,521,023.

Example:
1 x 1,521,023 = 1,521,023
and
-1 x -1,521,023 = 1,521,023
Notice both answers equal 1,521,023

With that explanation out of the way, let's continue. Next, we take the number 1,521,023 and divide it by 2:

1,521,023 ÷ 2 = 760,511.5

If the quotient is a whole number, then 2 and 760,511.5 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 1,521,023
-1 -1,521,023

Now, we try dividing 1,521,023 by 3:

1,521,023 ÷ 3 = 507,007.6667

If the quotient is a whole number, then 3 and 507,007.6667 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 1,521,023
-1 -1,521,023

Let's try dividing by 4:

1,521,023 ÷ 4 = 380,255.75

If the quotient is a whole number, then 4 and 380,255.75 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 1,521,023
-1 1,521,023
Keep dividing by the next highest number until you cannot divide anymore.

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

171511,0571,43910,073217,2891,521,023
-1-7-151-1,057-1,439-10,073-217,289-1,521,023

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,521,023:


Ask a Question