Q: What are the factor combinations of the number 777,949?

 A:
Positive:   1 x 77794989 x 8741
Negative: -1 x -777949-89 x -8741


How do I find the factor combinations of the number 777,949?

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 777,949, 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.

1 777,949
-1 -777,949

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 777,949.

Example:
1 x 777,949 = 777,949
and
-1 x -777,949 = 777,949
Notice both answers equal 777,949

With that explanation out of the way, let's continue. Next, we take the number 777,949 and divide it by 2:

777,949 ÷ 2 = 388,974.5

If the quotient is a whole number, then 2 and 388,974.5 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:

1 777,949
-1 -777,949

Now, we try dividing 777,949 by 3:

777,949 ÷ 3 = 259,316.3333

If the quotient is a whole number, then 3 and 259,316.3333 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:

1 777,949
-1 -777,949

Let's try dividing by 4:

777,949 ÷ 4 = 194,487.25

If the quotient is a whole number, then 4 and 194,487.25 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:

1 777,949
-1 777,949
Keep dividing by the next highest number until you cannot divide anymore.

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

1898,741777,949
-1-89-8,741-777,949

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 777,949:


Ask a Question