Q: What are the factor combinations of the number 5,508,155?

 A:
Positive:   1 x 55081555 x 110163123 x 239485115 x 47897211 x 26105227 x 242651055 x 52211135 x 4853
Negative: -1 x -5508155-5 x -1101631-23 x -239485-115 x -47897-211 x -26105-227 x -24265-1055 x -5221-1135 x -4853


How do I find the factor combinations of the number 5,508,155?

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 5,508,155, 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 5,508,155
-1 -5,508,155

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 5,508,155.

Example:
1 x 5,508,155 = 5,508,155
and
-1 x -5,508,155 = 5,508,155
Notice both answers equal 5,508,155

With that explanation out of the way, let's continue. Next, we take the number 5,508,155 and divide it by 2:

5,508,155 ÷ 2 = 2,754,077.5

If the quotient is a whole number, then 2 and 2,754,077.5 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 5,508,155
-1 -5,508,155

Now, we try dividing 5,508,155 by 3:

5,508,155 ÷ 3 = 1,836,051.6667

If the quotient is a whole number, then 3 and 1,836,051.6667 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 5,508,155
-1 -5,508,155

Let's try dividing by 4:

5,508,155 ÷ 4 = 1,377,038.75

If the quotient is a whole number, then 4 and 1,377,038.75 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 5,508,155
-1 5,508,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152112271,0551,1354,8535,22124,26526,10547,897239,4851,101,6315,508,155
-1-5-23-115-211-227-1,055-1,135-4,853-5,221-24,265-26,105-47,897-239,485-1,101,631-5,508,155

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