Q: What are the factor combinations of the number 110,165,155?

 A:
Positive:   1 x 1101651555 x 2203303141 x 2686955205 x 537391251 x 4389051255 x 877812141 x 5145510291 x 10705
Negative: -1 x -110165155-5 x -22033031-41 x -2686955-205 x -537391-251 x -438905-1255 x -87781-2141 x -51455-10291 x -10705


How do I find the factor combinations of the number 110,165,155?

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 110,165,155, 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.

1 110,165,155
-1 -110,165,155

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 110,165,155.

Example:
1 x 110,165,155 = 110,165,155
and
-1 x -110,165,155 = 110,165,155
Notice both answers equal 110,165,155

With that explanation out of the way, let's continue. Next, we take the number 110,165,155 and divide it by 2:

110,165,155 ÷ 2 = 55,082,577.5

If the quotient is a whole number, then 2 and 55,082,577.5 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:

1 110,165,155
-1 -110,165,155

Now, we try dividing 110,165,155 by 3:

110,165,155 ÷ 3 = 36,721,718.3333

If the quotient is a whole number, then 3 and 36,721,718.3333 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:

1 110,165,155
-1 -110,165,155

Let's try dividing by 4:

110,165,155 ÷ 4 = 27,541,288.75

If the quotient is a whole number, then 4 and 27,541,288.75 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:

1 110,165,155
-1 110,165,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15412052511,2552,14110,29110,70551,45587,781438,905537,3912,686,95522,033,031110,165,155
-1-5-41-205-251-1,255-2,141-10,291-10,705-51,455-87,781-438,905-537,391-2,686,955-22,033,031-110,165,155

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