Q: What are the factor combinations of the number 120,067,705?

 A:
Positive:   1 x 1200677055 x 2401354123 x 5220335115 x 1044067127 x 945415635 x 1890832921 x 411058221 x 14605
Negative: -1 x -120067705-5 x -24013541-23 x -5220335-115 x -1044067-127 x -945415-635 x -189083-2921 x -41105-8221 x -14605


How do I find the factor combinations of the number 120,067,705?

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 120,067,705, 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.

1 120,067,705
-1 -120,067,705

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 120,067,705.

Example:
1 x 120,067,705 = 120,067,705
and
-1 x -120,067,705 = 120,067,705
Notice both answers equal 120,067,705

With that explanation out of the way, let's continue. Next, we take the number 120,067,705 and divide it by 2:

120,067,705 ÷ 2 = 60,033,852.5

If the quotient is a whole number, then 2 and 60,033,852.5 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:

1 120,067,705
-1 -120,067,705

Now, we try dividing 120,067,705 by 3:

120,067,705 ÷ 3 = 40,022,568.3333

If the quotient is a whole number, then 3 and 40,022,568.3333 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:

1 120,067,705
-1 -120,067,705

Let's try dividing by 4:

120,067,705 ÷ 4 = 30,016,926.25

If the quotient is a whole number, then 4 and 30,016,926.25 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:

1 120,067,705
-1 120,067,705
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151276352,9218,22114,60541,105189,083945,4151,044,0675,220,33524,013,541120,067,705
-1-5-23-115-127-635-2,921-8,221-14,605-41,105-189,083-945,415-1,044,067-5,220,335-24,013,541-120,067,705

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