Q: What are the factor combinations of the number 120,162,665?

 A:
Positive:   1 x 1201626655 x 240325337 x 1716609531 x 387621535 x 3433219155 x 775243217 x 5537451085 x 110749
Negative: -1 x -120162665-5 x -24032533-7 x -17166095-31 x -3876215-35 x -3433219-155 x -775243-217 x -553745-1085 x -110749


How do I find the factor combinations of the number 120,162,665?

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 120,162,665, 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.

1 120,162,665
-1 -120,162,665

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 120,162,665.

Example:
1 x 120,162,665 = 120,162,665
and
-1 x -120,162,665 = 120,162,665
Notice both answers equal 120,162,665

With that explanation out of the way, let's continue. Next, we take the number 120,162,665 and divide it by 2:

120,162,665 ÷ 2 = 60,081,332.5

If the quotient is a whole number, then 2 and 60,081,332.5 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:

1 120,162,665
-1 -120,162,665

Now, we try dividing 120,162,665 by 3:

120,162,665 ÷ 3 = 40,054,221.6667

If the quotient is a whole number, then 3 and 40,054,221.6667 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:

1 120,162,665
-1 -120,162,665

Let's try dividing by 4:

120,162,665 ÷ 4 = 30,040,666.25

If the quotient is a whole number, then 4 and 30,040,666.25 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:

1 120,162,665
-1 120,162,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,085110,749553,745775,2433,433,2193,876,21517,166,09524,032,533120,162,665
-1-5-7-31-35-155-217-1,085-110,749-553,745-775,243-3,433,219-3,876,215-17,166,095-24,032,533-120,162,665

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