Q: What are the factor combinations of the number 120,252,055?

 A:
Positive:   1 x 1202520555 x 240504117 x 1717886511 x 1093200535 x 343577355 x 218640177 x 1561715385 x 312343
Negative: -1 x -120252055-5 x -24050411-7 x -17178865-11 x -10932005-35 x -3435773-55 x -2186401-77 x -1561715-385 x -312343


How do I find the factor combinations of the number 120,252,055?

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 120,252,055, 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.

1 120,252,055
-1 -120,252,055

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 120,252,055.

Example:
1 x 120,252,055 = 120,252,055
and
-1 x -120,252,055 = 120,252,055
Notice both answers equal 120,252,055

With that explanation out of the way, let's continue. Next, we take the number 120,252,055 and divide it by 2:

120,252,055 ÷ 2 = 60,126,027.5

If the quotient is a whole number, then 2 and 60,126,027.5 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:

1 120,252,055
-1 -120,252,055

Now, we try dividing 120,252,055 by 3:

120,252,055 ÷ 3 = 40,084,018.3333

If the quotient is a whole number, then 3 and 40,084,018.3333 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:

1 120,252,055
-1 -120,252,055

Let's try dividing by 4:

120,252,055 ÷ 4 = 30,063,013.75

If the quotient is a whole number, then 4 and 30,063,013.75 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:

1 120,252,055
-1 120,252,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385312,3431,561,7152,186,4013,435,77310,932,00517,178,86524,050,411120,252,055
-1-5-7-11-35-55-77-385-312,343-1,561,715-2,186,401-3,435,773-10,932,005-17,178,865-24,050,411-120,252,055

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