Q: What are the factor combinations of the number 845,584,727?

 A:
Positive:   1 x 84558472713 x 65044979107 x 7902661233 x 36291191391 x 6078972609 x 3241033029 x 27916324931 x 33917
Negative: -1 x -845584727-13 x -65044979-107 x -7902661-233 x -3629119-1391 x -607897-2609 x -324103-3029 x -279163-24931 x -33917


How do I find the factor combinations of the number 845,584,727?

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 845,584,727, 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.

1 845,584,727
-1 -845,584,727

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 845,584,727.

Example:
1 x 845,584,727 = 845,584,727
and
-1 x -845,584,727 = 845,584,727
Notice both answers equal 845,584,727

With that explanation out of the way, let's continue. Next, we take the number 845,584,727 and divide it by 2:

845,584,727 ÷ 2 = 422,792,363.5

If the quotient is a whole number, then 2 and 422,792,363.5 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:

1 845,584,727
-1 -845,584,727

Now, we try dividing 845,584,727 by 3:

845,584,727 ÷ 3 = 281,861,575.6667

If the quotient is a whole number, then 3 and 281,861,575.6667 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:

1 845,584,727
-1 -845,584,727

Let's try dividing by 4:

845,584,727 ÷ 4 = 211,396,181.75

If the quotient is a whole number, then 4 and 211,396,181.75 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:

1 845,584,727
-1 845,584,727
Keep dividing by the next highest number until you cannot divide anymore.

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

1131072331,3912,6093,02924,93133,917279,163324,103607,8973,629,1197,902,66165,044,979845,584,727
-1-13-107-233-1,391-2,609-3,029-24,931-33,917-279,163-324,103-607,897-3,629,119-7,902,661-65,044,979-845,584,727

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