Q: What are the factor combinations of the number 220,155,065?

 A:
Positive:   1 x 2201550655 x 4403101313 x 1693500565 x 3387001
Negative: -1 x -220155065-5 x -44031013-13 x -16935005-65 x -3387001


How do I find the factor combinations of the number 220,155,065?

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 220,155,065, 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.

1 220,155,065
-1 -220,155,065

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 220,155,065.

Example:
1 x 220,155,065 = 220,155,065
and
-1 x -220,155,065 = 220,155,065
Notice both answers equal 220,155,065

With that explanation out of the way, let's continue. Next, we take the number 220,155,065 and divide it by 2:

220,155,065 ÷ 2 = 110,077,532.5

If the quotient is a whole number, then 2 and 110,077,532.5 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:

1 220,155,065
-1 -220,155,065

Now, we try dividing 220,155,065 by 3:

220,155,065 ÷ 3 = 73,385,021.6667

If the quotient is a whole number, then 3 and 73,385,021.6667 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:

1 220,155,065
-1 -220,155,065

Let's try dividing by 4:

220,155,065 ÷ 4 = 55,038,766.25

If the quotient is a whole number, then 4 and 55,038,766.25 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:

1 220,155,065
-1 220,155,065
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653,387,00116,935,00544,031,013220,155,065
-1-5-13-65-3,387,001-16,935,005-44,031,013-220,155,065

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