Q: What are the factor combinations of the number 120,065,825?

 A:
Positive:   1 x 1200658255 x 2401316511 x 1091507525 x 480263355 x 2183015275 x 436603431 x 2785751013 x 1185252155 x 557154741 x 253255065 x 2370510775 x 11143
Negative: -1 x -120065825-5 x -24013165-11 x -10915075-25 x -4802633-55 x -2183015-275 x -436603-431 x -278575-1013 x -118525-2155 x -55715-4741 x -25325-5065 x -23705-10775 x -11143


How do I find the factor combinations of the number 120,065,825?

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 120,065,825, 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.

1 120,065,825
-1 -120,065,825

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 120,065,825.

Example:
1 x 120,065,825 = 120,065,825
and
-1 x -120,065,825 = 120,065,825
Notice both answers equal 120,065,825

With that explanation out of the way, let's continue. Next, we take the number 120,065,825 and divide it by 2:

120,065,825 ÷ 2 = 60,032,912.5

If the quotient is a whole number, then 2 and 60,032,912.5 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:

1 120,065,825
-1 -120,065,825

Now, we try dividing 120,065,825 by 3:

120,065,825 ÷ 3 = 40,021,941.6667

If the quotient is a whole number, then 3 and 40,021,941.6667 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:

1 120,065,825
-1 -120,065,825

Let's try dividing by 4:

120,065,825 ÷ 4 = 30,016,456.25

If the quotient is a whole number, then 4 and 30,016,456.25 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:

1 120,065,825
-1 120,065,825
Keep dividing by the next highest number until you cannot divide anymore.

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

151125552754311,0132,1554,7415,06510,77511,14323,70525,32555,715118,525278,575436,6032,183,0154,802,63310,915,07524,013,165120,065,825
-1-5-11-25-55-275-431-1,013-2,155-4,741-5,065-10,775-11,143-23,705-25,325-55,715-118,525-278,575-436,603-2,183,015-4,802,633-10,915,075-24,013,165-120,065,825

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