Q: What are the factor combinations of the number 77,555,779?

 A:
Positive:   1 x 775557797 x 1107939749 x 1582771101 x 767879707 x 1096974949 x 15671
Negative: -1 x -77555779-7 x -11079397-49 x -1582771-101 x -767879-707 x -109697-4949 x -15671


How do I find the factor combinations of the number 77,555,779?

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 77,555,779, 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 77,555,779
-1 -77,555,779

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 77,555,779.

Example:
1 x 77,555,779 = 77,555,779
and
-1 x -77,555,779 = 77,555,779
Notice both answers equal 77,555,779

With that explanation out of the way, let's continue. Next, we take the number 77,555,779 and divide it by 2:

77,555,779 ÷ 2 = 38,777,889.5

If the quotient is a whole number, then 2 and 38,777,889.5 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 77,555,779
-1 -77,555,779

Now, we try dividing 77,555,779 by 3:

77,555,779 ÷ 3 = 25,851,926.3333

If the quotient is a whole number, then 3 and 25,851,926.3333 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 77,555,779
-1 -77,555,779

Let's try dividing by 4:

77,555,779 ÷ 4 = 19,388,944.75

If the quotient is a whole number, then 4 and 19,388,944.75 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 77,555,779
-1 77,555,779
Keep dividing by the next highest number until you cannot divide anymore.

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

17491017074,94915,671109,697767,8791,582,77111,079,39777,555,779
-1-7-49-101-707-4,949-15,671-109,697-767,879-1,582,771-11,079,397-77,555,779

More Examples

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