Q: What are the factor combinations of the number 120,165,665?

 A:
Positive:   1 x 1201656655 x 2403313373 x 1646105365 x 329221401 x 299665821 x 1463652005 x 599334105 x 29273
Negative: -1 x -120165665-5 x -24033133-73 x -1646105-365 x -329221-401 x -299665-821 x -146365-2005 x -59933-4105 x -29273


How do I find the factor combinations of the number 120,165,665?

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 120,165,665, 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.

1 120,165,665
-1 -120,165,665

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 120,165,665.

Example:
1 x 120,165,665 = 120,165,665
and
-1 x -120,165,665 = 120,165,665
Notice both answers equal 120,165,665

With that explanation out of the way, let's continue. Next, we take the number 120,165,665 and divide it by 2:

120,165,665 ÷ 2 = 60,082,832.5

If the quotient is a whole number, then 2 and 60,082,832.5 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:

1 120,165,665
-1 -120,165,665

Now, we try dividing 120,165,665 by 3:

120,165,665 ÷ 3 = 40,055,221.6667

If the quotient is a whole number, then 3 and 40,055,221.6667 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:

1 120,165,665
-1 -120,165,665

Let's try dividing by 4:

120,165,665 ÷ 4 = 30,041,416.25

If the quotient is a whole number, then 4 and 30,041,416.25 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:

1 120,165,665
-1 120,165,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15733654018212,0054,10529,27359,933146,365299,665329,2211,646,10524,033,133120,165,665
-1-5-73-365-401-821-2,005-4,105-29,273-59,933-146,365-299,665-329,221-1,646,105-24,033,133-120,165,665

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