Q: What are the factor combinations of the number 120,117,055?

 A:
Positive:   1 x 1201170555 x 24023411103 x 1166185179 x 671045515 x 233237895 x 1342091303 x 921856515 x 18437
Negative: -1 x -120117055-5 x -24023411-103 x -1166185-179 x -671045-515 x -233237-895 x -134209-1303 x -92185-6515 x -18437


How do I find the factor combinations of the number 120,117,055?

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 120,117,055, 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.

1 120,117,055
-1 -120,117,055

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 120,117,055.

Example:
1 x 120,117,055 = 120,117,055
and
-1 x -120,117,055 = 120,117,055
Notice both answers equal 120,117,055

With that explanation out of the way, let's continue. Next, we take the number 120,117,055 and divide it by 2:

120,117,055 ÷ 2 = 60,058,527.5

If the quotient is a whole number, then 2 and 60,058,527.5 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:

1 120,117,055
-1 -120,117,055

Now, we try dividing 120,117,055 by 3:

120,117,055 ÷ 3 = 40,039,018.3333

If the quotient is a whole number, then 3 and 40,039,018.3333 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:

1 120,117,055
-1 -120,117,055

Let's try dividing by 4:

120,117,055 ÷ 4 = 30,029,263.75

If the quotient is a whole number, then 4 and 30,029,263.75 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:

1 120,117,055
-1 120,117,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151031795158951,3036,51518,43792,185134,209233,237671,0451,166,18524,023,411120,117,055
-1-5-103-179-515-895-1,303-6,515-18,437-92,185-134,209-233,237-671,045-1,166,185-24,023,411-120,117,055

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