Q: What are the factor combinations of the number 815,086,255?

 A:
Positive:   1 x 8150862555 x 16301725131 x 26293105155 x 5258621599 x 13607452995 x 2721498779 x 9284518569 x 43895
Negative: -1 x -815086255-5 x -163017251-31 x -26293105-155 x -5258621-599 x -1360745-2995 x -272149-8779 x -92845-18569 x -43895


How do I find the factor combinations of the number 815,086,255?

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 815,086,255, 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.

1 815,086,255
-1 -815,086,255

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 815,086,255.

Example:
1 x 815,086,255 = 815,086,255
and
-1 x -815,086,255 = 815,086,255
Notice both answers equal 815,086,255

With that explanation out of the way, let's continue. Next, we take the number 815,086,255 and divide it by 2:

815,086,255 ÷ 2 = 407,543,127.5

If the quotient is a whole number, then 2 and 407,543,127.5 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:

1 815,086,255
-1 -815,086,255

Now, we try dividing 815,086,255 by 3:

815,086,255 ÷ 3 = 271,695,418.3333

If the quotient is a whole number, then 3 and 271,695,418.3333 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:

1 815,086,255
-1 -815,086,255

Let's try dividing by 4:

815,086,255 ÷ 4 = 203,771,563.75

If the quotient is a whole number, then 4 and 203,771,563.75 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:

1 815,086,255
-1 815,086,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15311555992,9958,77918,56943,89592,845272,1491,360,7455,258,62126,293,105163,017,251815,086,255
-1-5-31-155-599-2,995-8,779-18,569-43,895-92,845-272,149-1,360,745-5,258,621-26,293,105-163,017,251-815,086,255

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