Q: What are the factor combinations of the number 120,543,385?

 A:
Positive:   1 x 1205433855 x 2410867767 x 1799155335 x 359831587 x 205355613 x 1966452935 x 410713065 x 39329
Negative: -1 x -120543385-5 x -24108677-67 x -1799155-335 x -359831-587 x -205355-613 x -196645-2935 x -41071-3065 x -39329


How do I find the factor combinations of the number 120,543,385?

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 120,543,385, 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.

1 120,543,385
-1 -120,543,385

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 120,543,385.

Example:
1 x 120,543,385 = 120,543,385
and
-1 x -120,543,385 = 120,543,385
Notice both answers equal 120,543,385

With that explanation out of the way, let's continue. Next, we take the number 120,543,385 and divide it by 2:

120,543,385 ÷ 2 = 60,271,692.5

If the quotient is a whole number, then 2 and 60,271,692.5 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:

1 120,543,385
-1 -120,543,385

Now, we try dividing 120,543,385 by 3:

120,543,385 ÷ 3 = 40,181,128.3333

If the quotient is a whole number, then 3 and 40,181,128.3333 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:

1 120,543,385
-1 -120,543,385

Let's try dividing by 4:

120,543,385 ÷ 4 = 30,135,846.25

If the quotient is a whole number, then 4 and 30,135,846.25 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:

1 120,543,385
-1 120,543,385
Keep dividing by the next highest number until you cannot divide anymore.

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

15673355876132,9353,06539,32941,071196,645205,355359,8311,799,15524,108,677120,543,385
-1-5-67-335-587-613-2,935-3,065-39,329-41,071-196,645-205,355-359,831-1,799,155-24,108,677-120,543,385

More Examples

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