Q: What are the factor combinations of the number 77,077,771?

 A:
Positive:   1 x 7707777137 x 2083183107 x 7203533959 x 19469
Negative: -1 x -77077771-37 x -2083183-107 x -720353-3959 x -19469


How do I find the factor combinations of the number 77,077,771?

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 77,077,771, 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 77,077,771
-1 -77,077,771

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 77,077,771.

Example:
1 x 77,077,771 = 77,077,771
and
-1 x -77,077,771 = 77,077,771
Notice both answers equal 77,077,771

With that explanation out of the way, let's continue. Next, we take the number 77,077,771 and divide it by 2:

77,077,771 ÷ 2 = 38,538,885.5

If the quotient is a whole number, then 2 and 38,538,885.5 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 77,077,771
-1 -77,077,771

Now, we try dividing 77,077,771 by 3:

77,077,771 ÷ 3 = 25,692,590.3333

If the quotient is a whole number, then 3 and 25,692,590.3333 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 77,077,771
-1 -77,077,771

Let's try dividing by 4:

77,077,771 ÷ 4 = 19,269,442.75

If the quotient is a whole number, then 4 and 19,269,442.75 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 77,077,771
-1 77,077,771
Keep dividing by the next highest number until you cannot divide anymore.

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

1371073,95919,469720,3532,083,18377,077,771
-1-37-107-3,959-19,469-720,353-2,083,183-77,077,771

More Examples

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