Q: What are the factor combinations of the number 120,543,655?

 A:
Positive:   1 x 1205436555 x 2410873131 x 3888505155 x 777701523 x 2304851487 x 810652615 x 460977435 x 16213
Negative: -1 x -120543655-5 x -24108731-31 x -3888505-155 x -777701-523 x -230485-1487 x -81065-2615 x -46097-7435 x -16213


How do I find the factor combinations of the number 120,543,655?

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 120,543,655, 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.

1 120,543,655
-1 -120,543,655

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 120,543,655.

Example:
1 x 120,543,655 = 120,543,655
and
-1 x -120,543,655 = 120,543,655
Notice both answers equal 120,543,655

With that explanation out of the way, let's continue. Next, we take the number 120,543,655 and divide it by 2:

120,543,655 ÷ 2 = 60,271,827.5

If the quotient is a whole number, then 2 and 60,271,827.5 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:

1 120,543,655
-1 -120,543,655

Now, we try dividing 120,543,655 by 3:

120,543,655 ÷ 3 = 40,181,218.3333

If the quotient is a whole number, then 3 and 40,181,218.3333 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:

1 120,543,655
-1 -120,543,655

Let's try dividing by 4:

120,543,655 ÷ 4 = 30,135,913.75

If the quotient is a whole number, then 4 and 30,135,913.75 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:

1 120,543,655
-1 120,543,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15311555231,4872,6157,43516,21346,09781,065230,485777,7013,888,50524,108,731120,543,655
-1-5-31-155-523-1,487-2,615-7,435-16,213-46,097-81,065-230,485-777,701-3,888,505-24,108,731-120,543,655

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