Q: What are the factor combinations of the number 55,055?

 A:
Positive:   1 x 550555 x 110117 x 786511 x 500513 x 423535 x 157355 x 100165 x 84777 x 71591 x 605121 x 455143 x 385
Negative: -1 x -55055-5 x -11011-7 x -7865-11 x -5005-13 x -4235-35 x -1573-55 x -1001-65 x -847-77 x -715-91 x -605-121 x -455-143 x -385


How do I find the factor combinations of the number 55,055?

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 55,055, 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 55,055
-1 -55,055

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 55,055.

Example:
1 x 55,055 = 55,055
and
-1 x -55,055 = 55,055
Notice both answers equal 55,055

With that explanation out of the way, let's continue. Next, we take the number 55,055 and divide it by 2:

55,055 ÷ 2 = 27,527.5

If the quotient is a whole number, then 2 and 27,527.5 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 55,055
-1 -55,055

Now, we try dividing 55,055 by 3:

55,055 ÷ 3 = 18,351.6667

If the quotient is a whole number, then 3 and 18,351.6667 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 55,055
-1 -55,055

Let's try dividing by 4:

55,055 ÷ 4 = 13,763.75

If the quotient is a whole number, then 4 and 13,763.75 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 55,055
-1 55,055
Keep dividing by the next highest number until you cannot divide anymore.

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

157111335556577911211433854556057158471,0011,5734,2355,0057,86511,01155,055
-1-5-7-11-13-35-55-65-77-91-121-143-385-455-605-715-847-1,001-1,573-4,235-5,005-7,865-11,011-55,055

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 55,055:


Ask a Question