Q: What are the factor combinations of the number 855,858,199?

 A:
Positive:   1 x 8558581997 x 12226545731 x 27608329217 x 3944047419 x 20426212933 x 2918039413 x 9092312989 x 65891
Negative: -1 x -855858199-7 x -122265457-31 x -27608329-217 x -3944047-419 x -2042621-2933 x -291803-9413 x -90923-12989 x -65891


How do I find the factor combinations of the number 855,858,199?

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 855,858,199, 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.

1 855,858,199
-1 -855,858,199

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 855,858,199.

Example:
1 x 855,858,199 = 855,858,199
and
-1 x -855,858,199 = 855,858,199
Notice both answers equal 855,858,199

With that explanation out of the way, let's continue. Next, we take the number 855,858,199 and divide it by 2:

855,858,199 ÷ 2 = 427,929,099.5

If the quotient is a whole number, then 2 and 427,929,099.5 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:

1 855,858,199
-1 -855,858,199

Now, we try dividing 855,858,199 by 3:

855,858,199 ÷ 3 = 285,286,066.3333

If the quotient is a whole number, then 3 and 285,286,066.3333 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:

1 855,858,199
-1 -855,858,199

Let's try dividing by 4:

855,858,199 ÷ 4 = 213,964,549.75

If the quotient is a whole number, then 4 and 213,964,549.75 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:

1 855,858,199
-1 855,858,199
Keep dividing by the next highest number until you cannot divide anymore.

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

17312174192,9339,41312,98965,89190,923291,8032,042,6213,944,04727,608,329122,265,457855,858,199
-1-7-31-217-419-2,933-9,413-12,989-65,891-90,923-291,803-2,042,621-3,944,047-27,608,329-122,265,457-855,858,199

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