Q: What are the factor combinations of the number 110,663,155?

 A:
Positive:   1 x 1106631555 x 221326311223 x 904856115 x 18097
Negative: -1 x -110663155-5 x -22132631-1223 x -90485-6115 x -18097


How do I find the factor combinations of the number 110,663,155?

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 110,663,155, 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.

1 110,663,155
-1 -110,663,155

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 110,663,155.

Example:
1 x 110,663,155 = 110,663,155
and
-1 x -110,663,155 = 110,663,155
Notice both answers equal 110,663,155

With that explanation out of the way, let's continue. Next, we take the number 110,663,155 and divide it by 2:

110,663,155 ÷ 2 = 55,331,577.5

If the quotient is a whole number, then 2 and 55,331,577.5 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:

1 110,663,155
-1 -110,663,155

Now, we try dividing 110,663,155 by 3:

110,663,155 ÷ 3 = 36,887,718.3333

If the quotient is a whole number, then 3 and 36,887,718.3333 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:

1 110,663,155
-1 -110,663,155

Let's try dividing by 4:

110,663,155 ÷ 4 = 27,665,788.75

If the quotient is a whole number, then 4 and 27,665,788.75 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:

1 110,663,155
-1 110,663,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151,2236,11518,09790,48522,132,631110,663,155
-1-5-1,223-6,115-18,097-90,485-22,132,631-110,663,155

More Examples

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