Q: What are the factor combinations of the number 8,767,991?

 A:
Positive:   1 x 876799123 x 38121747 x 1865531081 x 8111
Negative: -1 x -8767991-23 x -381217-47 x -186553-1081 x -8111


How do I find the factor combinations of the number 8,767,991?

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 8,767,991, 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 8,767,991
-1 -8,767,991

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 8,767,991.

Example:
1 x 8,767,991 = 8,767,991
and
-1 x -8,767,991 = 8,767,991
Notice both answers equal 8,767,991

With that explanation out of the way, let's continue. Next, we take the number 8,767,991 and divide it by 2:

8,767,991 ÷ 2 = 4,383,995.5

If the quotient is a whole number, then 2 and 4,383,995.5 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 8,767,991
-1 -8,767,991

Now, we try dividing 8,767,991 by 3:

8,767,991 ÷ 3 = 2,922,663.6667

If the quotient is a whole number, then 3 and 2,922,663.6667 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 8,767,991
-1 -8,767,991

Let's try dividing by 4:

8,767,991 ÷ 4 = 2,191,997.75

If the quotient is a whole number, then 4 and 2,191,997.75 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 8,767,991
-1 8,767,991
Keep dividing by the next highest number until you cannot divide anymore.

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

123471,0818,111186,553381,2178,767,991
-1-23-47-1,081-8,111-186,553-381,217-8,767,991

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,767,991:


Ask a Question