Q: What are the factor combinations of the number 110,441,155?

 A:
Positive:   1 x 1104411555 x 2208823111 x 1004010555 x 2008021197 x 560615985 x 1121232167 x 5096510193 x 10835
Negative: -1 x -110441155-5 x -22088231-11 x -10040105-55 x -2008021-197 x -560615-985 x -112123-2167 x -50965-10193 x -10835


How do I find the factor combinations of the number 110,441,155?

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 110,441,155, 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.

1 110,441,155
-1 -110,441,155

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 110,441,155.

Example:
1 x 110,441,155 = 110,441,155
and
-1 x -110,441,155 = 110,441,155
Notice both answers equal 110,441,155

With that explanation out of the way, let's continue. Next, we take the number 110,441,155 and divide it by 2:

110,441,155 ÷ 2 = 55,220,577.5

If the quotient is a whole number, then 2 and 55,220,577.5 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:

1 110,441,155
-1 -110,441,155

Now, we try dividing 110,441,155 by 3:

110,441,155 ÷ 3 = 36,813,718.3333

If the quotient is a whole number, then 3 and 36,813,718.3333 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:

1 110,441,155
-1 -110,441,155

Let's try dividing by 4:

110,441,155 ÷ 4 = 27,610,288.75

If the quotient is a whole number, then 4 and 27,610,288.75 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:

1 110,441,155
-1 110,441,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551979852,16710,19310,83550,965112,123560,6152,008,02110,040,10522,088,231110,441,155
-1-5-11-55-197-985-2,167-10,193-10,835-50,965-112,123-560,615-2,008,021-10,040,105-22,088,231-110,441,155

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