Q: What are the factor combinations of the number 8,006,677?

 A:
Positive:   1 x 80066777 x 114381117 x 47098161 x 131257119 x 67283427 x 187511037 x 77211103 x 7259
Negative: -1 x -8006677-7 x -1143811-17 x -470981-61 x -131257-119 x -67283-427 x -18751-1037 x -7721-1103 x -7259


How do I find the factor combinations of the number 8,006,677?

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 8,006,677, 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 8,006,677
-1 -8,006,677

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 8,006,677.

Example:
1 x 8,006,677 = 8,006,677
and
-1 x -8,006,677 = 8,006,677
Notice both answers equal 8,006,677

With that explanation out of the way, let's continue. Next, we take the number 8,006,677 and divide it by 2:

8,006,677 ÷ 2 = 4,003,338.5

If the quotient is a whole number, then 2 and 4,003,338.5 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 8,006,677
-1 -8,006,677

Now, we try dividing 8,006,677 by 3:

8,006,677 ÷ 3 = 2,668,892.3333

If the quotient is a whole number, then 3 and 2,668,892.3333 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 8,006,677
-1 -8,006,677

Let's try dividing by 4:

8,006,677 ÷ 4 = 2,001,669.25

If the quotient is a whole number, then 4 and 2,001,669.25 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 8,006,677
-1 8,006,677
Keep dividing by the next highest number until you cannot divide anymore.

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

1717611194271,0371,1037,2597,72118,75167,283131,257470,9811,143,8118,006,677
-1-7-17-61-119-427-1,037-1,103-7,259-7,721-18,751-67,283-131,257-470,981-1,143,811-8,006,677

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,006,677:


Ask a Question