Q: What are the factor combinations of the number 776,061,867?

 A:
Positive:   1 x 7760618673 x 2586872897 x 11086598121 x 36955327
Negative: -1 x -776061867-3 x -258687289-7 x -110865981-21 x -36955327


How do I find the factor combinations of the number 776,061,867?

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 776,061,867, 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.

1 776,061,867
-1 -776,061,867

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 776,061,867.

Example:
1 x 776,061,867 = 776,061,867
and
-1 x -776,061,867 = 776,061,867
Notice both answers equal 776,061,867

With that explanation out of the way, let's continue. Next, we take the number 776,061,867 and divide it by 2:

776,061,867 ÷ 2 = 388,030,933.5

If the quotient is a whole number, then 2 and 388,030,933.5 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:

1 776,061,867
-1 -776,061,867

Now, we try dividing 776,061,867 by 3:

776,061,867 ÷ 3 = 258,687,289

If the quotient is a whole number, then 3 and 258,687,289 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 3 258,687,289 776,061,867
-1 -3 -258,687,289 -776,061,867

Let's try dividing by 4:

776,061,867 ÷ 4 = 194,015,466.75

If the quotient is a whole number, then 4 and 194,015,466.75 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 3 258,687,289 776,061,867
-1 -3 -258,687,289 776,061,867
Keep dividing by the next highest number until you cannot divide anymore.

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

1372136,955,327110,865,981258,687,289776,061,867
-1-3-7-21-36,955,327-110,865,981-258,687,289-776,061,867

More Examples

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