Q: What are the factor combinations of the number 550,615?

 A:
Positive:   1 x 5506155 x 11012313 x 4235543 x 1280565 x 8471197 x 2795215 x 2561559 x 985
Negative: -1 x -550615-5 x -110123-13 x -42355-43 x -12805-65 x -8471-197 x -2795-215 x -2561-559 x -985


How do I find the factor combinations of the number 550,615?

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 550,615, 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.

1 550,615
-1 -550,615

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 550,615.

Example:
1 x 550,615 = 550,615
and
-1 x -550,615 = 550,615
Notice both answers equal 550,615

With that explanation out of the way, let's continue. Next, we take the number 550,615 and divide it by 2:

550,615 ÷ 2 = 275,307.5

If the quotient is a whole number, then 2 and 275,307.5 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:

1 550,615
-1 -550,615

Now, we try dividing 550,615 by 3:

550,615 ÷ 3 = 183,538.3333

If the quotient is a whole number, then 3 and 183,538.3333 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:

1 550,615
-1 -550,615

Let's try dividing by 4:

550,615 ÷ 4 = 137,653.75

If the quotient is a whole number, then 4 and 137,653.75 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:

1 550,615
-1 550,615
Keep dividing by the next highest number until you cannot divide anymore.

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

151343651972155599852,5612,7958,47112,80542,355110,123550,615
-1-5-13-43-65-197-215-559-985-2,561-2,795-8,471-12,805-42,355-110,123-550,615

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 550,615:


Ask a Question