Q: What are the factor combinations of the number 773,715,755?

 A:
Positive:   1 x 7737157555 x 15474315171 x 10897405263 x 2941885355 x 21794811315 x 5883778287 x 9336518673 x 41435
Negative: -1 x -773715755-5 x -154743151-71 x -10897405-263 x -2941885-355 x -2179481-1315 x -588377-8287 x -93365-18673 x -41435


How do I find the factor combinations of the number 773,715,755?

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 773,715,755, 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.

1 773,715,755
-1 -773,715,755

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 773,715,755.

Example:
1 x 773,715,755 = 773,715,755
and
-1 x -773,715,755 = 773,715,755
Notice both answers equal 773,715,755

With that explanation out of the way, let's continue. Next, we take the number 773,715,755 and divide it by 2:

773,715,755 ÷ 2 = 386,857,877.5

If the quotient is a whole number, then 2 and 386,857,877.5 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:

1 773,715,755
-1 -773,715,755

Now, we try dividing 773,715,755 by 3:

773,715,755 ÷ 3 = 257,905,251.6667

If the quotient is a whole number, then 3 and 257,905,251.6667 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:

1 773,715,755
-1 -773,715,755

Let's try dividing by 4:

773,715,755 ÷ 4 = 193,428,938.75

If the quotient is a whole number, then 4 and 193,428,938.75 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:

1 773,715,755
-1 773,715,755
Keep dividing by the next highest number until you cannot divide anymore.

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

15712633551,3158,28718,67341,43593,365588,3772,179,4812,941,88510,897,405154,743,151773,715,755
-1-5-71-263-355-1,315-8,287-18,673-41,435-93,365-588,377-2,179,481-2,941,885-10,897,405-154,743,151-773,715,755

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