Q: What are the factor combinations of the number 120,040,165?

 A:
Positive:   1 x 1200401655 x 240080337 x 1714859535 x 3429719811 x 1480154055 x 296034229 x 283855677 x 21145
Negative: -1 x -120040165-5 x -24008033-7 x -17148595-35 x -3429719-811 x -148015-4055 x -29603-4229 x -28385-5677 x -21145


How do I find the factor combinations of the number 120,040,165?

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 120,040,165, 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.

1 120,040,165
-1 -120,040,165

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 120,040,165.

Example:
1 x 120,040,165 = 120,040,165
and
-1 x -120,040,165 = 120,040,165
Notice both answers equal 120,040,165

With that explanation out of the way, let's continue. Next, we take the number 120,040,165 and divide it by 2:

120,040,165 ÷ 2 = 60,020,082.5

If the quotient is a whole number, then 2 and 60,020,082.5 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:

1 120,040,165
-1 -120,040,165

Now, we try dividing 120,040,165 by 3:

120,040,165 ÷ 3 = 40,013,388.3333

If the quotient is a whole number, then 3 and 40,013,388.3333 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:

1 120,040,165
-1 -120,040,165

Let's try dividing by 4:

120,040,165 ÷ 4 = 30,010,041.25

If the quotient is a whole number, then 4 and 30,010,041.25 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:

1 120,040,165
-1 120,040,165
Keep dividing by the next highest number until you cannot divide anymore.

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

157358114,0554,2295,67721,14528,38529,603148,0153,429,71917,148,59524,008,033120,040,165
-1-5-7-35-811-4,055-4,229-5,677-21,145-28,385-29,603-148,015-3,429,719-17,148,595-24,008,033-120,040,165

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