Q: What are the factor combinations of the number 551,485?

 A:
Positive:   1 x 5514855 x 11029711 x 5013537 x 1490555 x 10027185 x 2981271 x 2035407 x 1355
Negative: -1 x -551485-5 x -110297-11 x -50135-37 x -14905-55 x -10027-185 x -2981-271 x -2035-407 x -1355


How do I find the factor combinations of the number 551,485?

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 551,485, 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.

1 551,485
-1 -551,485

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 551,485.

Example:
1 x 551,485 = 551,485
and
-1 x -551,485 = 551,485
Notice both answers equal 551,485

With that explanation out of the way, let's continue. Next, we take the number 551,485 and divide it by 2:

551,485 ÷ 2 = 275,742.5

If the quotient is a whole number, then 2 and 275,742.5 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:

1 551,485
-1 -551,485

Now, we try dividing 551,485 by 3:

551,485 ÷ 3 = 183,828.3333

If the quotient is a whole number, then 3 and 183,828.3333 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:

1 551,485
-1 -551,485

Let's try dividing by 4:

551,485 ÷ 4 = 137,871.25

If the quotient is a whole number, then 4 and 137,871.25 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:

1 551,485
-1 551,485
Keep dividing by the next highest number until you cannot divide anymore.

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

151137551852714071,3552,0352,98110,02714,90550,135110,297551,485
-1-5-11-37-55-185-271-407-1,355-2,035-2,981-10,027-14,905-50,135-110,297-551,485

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 551,485:


Ask a Question