Q: What are the factor combinations of the number 536,665,015?

 A:
Positive:   1 x 5366650155 x 10733300353 x 10125755101 x 5313515265 x 2025151505 x 10627035353 x 10025520051 x 26765
Negative: -1 x -536665015-5 x -107333003-53 x -10125755-101 x -5313515-265 x -2025151-505 x -1062703-5353 x -100255-20051 x -26765


How do I find the factor combinations of the number 536,665,015?

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 536,665,015, 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.

1 536,665,015
-1 -536,665,015

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 536,665,015.

Example:
1 x 536,665,015 = 536,665,015
and
-1 x -536,665,015 = 536,665,015
Notice both answers equal 536,665,015

With that explanation out of the way, let's continue. Next, we take the number 536,665,015 and divide it by 2:

536,665,015 ÷ 2 = 268,332,507.5

If the quotient is a whole number, then 2 and 268,332,507.5 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:

1 536,665,015
-1 -536,665,015

Now, we try dividing 536,665,015 by 3:

536,665,015 ÷ 3 = 178,888,338.3333

If the quotient is a whole number, then 3 and 178,888,338.3333 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:

1 536,665,015
-1 -536,665,015

Let's try dividing by 4:

536,665,015 ÷ 4 = 134,166,253.75

If the quotient is a whole number, then 4 and 134,166,253.75 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:

1 536,665,015
-1 536,665,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15531012655055,35320,05126,765100,2551,062,7032,025,1515,313,51510,125,755107,333,003536,665,015
-1-5-53-101-265-505-5,353-20,051-26,765-100,255-1,062,703-2,025,151-5,313,515-10,125,755-107,333,003-536,665,015

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