Q: What are the factor combinations of the number 77,007,799?

 A:
Positive:   1 x 7700779911 x 700070941 x 1878239451 x 170749
Negative: -1 x -77007799-11 x -7000709-41 x -1878239-451 x -170749


How do I find the factor combinations of the number 77,007,799?

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 77,007,799, 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 77,007,799
-1 -77,007,799

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 77,007,799.

Example:
1 x 77,007,799 = 77,007,799
and
-1 x -77,007,799 = 77,007,799
Notice both answers equal 77,007,799

With that explanation out of the way, let's continue. Next, we take the number 77,007,799 and divide it by 2:

77,007,799 ÷ 2 = 38,503,899.5

If the quotient is a whole number, then 2 and 38,503,899.5 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 77,007,799
-1 -77,007,799

Now, we try dividing 77,007,799 by 3:

77,007,799 ÷ 3 = 25,669,266.3333

If the quotient is a whole number, then 3 and 25,669,266.3333 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 77,007,799
-1 -77,007,799

Let's try dividing by 4:

77,007,799 ÷ 4 = 19,251,949.75

If the quotient is a whole number, then 4 and 19,251,949.75 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 77,007,799
-1 77,007,799
Keep dividing by the next highest number until you cannot divide anymore.

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

11141451170,7491,878,2397,000,70977,007,799
-1-11-41-451-170,749-1,878,239-7,000,709-77,007,799

More Examples

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