Q: What are the factor combinations of the number 551,855?

 A:
Positive:   1 x 5518555 x 11037119 x 2904537 x 1491595 x 5809157 x 3515185 x 2983703 x 785
Negative: -1 x -551855-5 x -110371-19 x -29045-37 x -14915-95 x -5809-157 x -3515-185 x -2983-703 x -785


How do I find the factor combinations of the number 551,855?

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 551,855, 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.

1 551,855
-1 -551,855

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 551,855.

Example:
1 x 551,855 = 551,855
and
-1 x -551,855 = 551,855
Notice both answers equal 551,855

With that explanation out of the way, let's continue. Next, we take the number 551,855 and divide it by 2:

551,855 ÷ 2 = 275,927.5

If the quotient is a whole number, then 2 and 275,927.5 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:

1 551,855
-1 -551,855

Now, we try dividing 551,855 by 3:

551,855 ÷ 3 = 183,951.6667

If the quotient is a whole number, then 3 and 183,951.6667 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:

1 551,855
-1 -551,855

Let's try dividing by 4:

551,855 ÷ 4 = 137,963.75

If the quotient is a whole number, then 4 and 137,963.75 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:

1 551,855
-1 551,855
Keep dividing by the next highest number until you cannot divide anymore.

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

151937951571857037852,9833,5155,80914,91529,045110,371551,855
-1-5-19-37-95-157-185-703-785-2,983-3,515-5,809-14,915-29,045-110,371-551,855

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 551,855:


Ask a Question