Q: What are the factor combinations of the number 764,757,799?

 A:
Positive:   1 x 76475779913 x 58827523103 x 7424833467 x 16375971223 x 6253131339 x 5711416071 x 12596915899 x 48101
Negative: -1 x -764757799-13 x -58827523-103 x -7424833-467 x -1637597-1223 x -625313-1339 x -571141-6071 x -125969-15899 x -48101


How do I find the factor combinations of the number 764,757,799?

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 764,757,799, 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.

1 764,757,799
-1 -764,757,799

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 764,757,799.

Example:
1 x 764,757,799 = 764,757,799
and
-1 x -764,757,799 = 764,757,799
Notice both answers equal 764,757,799

With that explanation out of the way, let's continue. Next, we take the number 764,757,799 and divide it by 2:

764,757,799 ÷ 2 = 382,378,899.5

If the quotient is a whole number, then 2 and 382,378,899.5 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:

1 764,757,799
-1 -764,757,799

Now, we try dividing 764,757,799 by 3:

764,757,799 ÷ 3 = 254,919,266.3333

If the quotient is a whole number, then 3 and 254,919,266.3333 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:

1 764,757,799
-1 -764,757,799

Let's try dividing by 4:

764,757,799 ÷ 4 = 191,189,449.75

If the quotient is a whole number, then 4 and 191,189,449.75 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:

1 764,757,799
-1 764,757,799
Keep dividing by the next highest number until you cannot divide anymore.

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

1131034671,2231,3396,07115,89948,101125,969571,141625,3131,637,5977,424,83358,827,523764,757,799
-1-13-103-467-1,223-1,339-6,071-15,899-48,101-125,969-571,141-625,313-1,637,597-7,424,833-58,827,523-764,757,799

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