Q: What are the factor combinations of the number 827,855?

 A:
Positive:   1 x 8278555 x 1655717 x 11826531 x 2670535 x 2365349 x 16895109 x 7595155 x 5341217 x 3815245 x 3379545 x 1519763 x 1085
Negative: -1 x -827855-5 x -165571-7 x -118265-31 x -26705-35 x -23653-49 x -16895-109 x -7595-155 x -5341-217 x -3815-245 x -3379-545 x -1519-763 x -1085


How do I find the factor combinations of the number 827,855?

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 827,855, 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.

1 827,855
-1 -827,855

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 827,855.

Example:
1 x 827,855 = 827,855
and
-1 x -827,855 = 827,855
Notice both answers equal 827,855

With that explanation out of the way, let's continue. Next, we take the number 827,855 and divide it by 2:

827,855 ÷ 2 = 413,927.5

If the quotient is a whole number, then 2 and 413,927.5 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:

1 827,855
-1 -827,855

Now, we try dividing 827,855 by 3:

827,855 ÷ 3 = 275,951.6667

If the quotient is a whole number, then 3 and 275,951.6667 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:

1 827,855
-1 -827,855

Let's try dividing by 4:

827,855 ÷ 4 = 206,963.75

If the quotient is a whole number, then 4 and 206,963.75 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:

1 827,855
-1 827,855
Keep dividing by the next highest number until you cannot divide anymore.

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

1573135491091552172455457631,0851,5193,3793,8155,3417,59516,89523,65326,705118,265165,571827,855
-1-5-7-31-35-49-109-155-217-245-545-763-1,085-1,519-3,379-3,815-5,341-7,595-16,895-23,653-26,705-118,265-165,571-827,855

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