Q: What are the factor combinations of the number 8,672,011?

 A:
Positive:   1 x 867201167 x 12943371 x 1221411823 x 4757
Negative: -1 x -8672011-67 x -129433-71 x -122141-1823 x -4757


How do I find the factor combinations of the number 8,672,011?

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 8,672,011, 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 8,672,011
-1 -8,672,011

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 8,672,011.

Example:
1 x 8,672,011 = 8,672,011
and
-1 x -8,672,011 = 8,672,011
Notice both answers equal 8,672,011

With that explanation out of the way, let's continue. Next, we take the number 8,672,011 and divide it by 2:

8,672,011 ÷ 2 = 4,336,005.5

If the quotient is a whole number, then 2 and 4,336,005.5 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 8,672,011
-1 -8,672,011

Now, we try dividing 8,672,011 by 3:

8,672,011 ÷ 3 = 2,890,670.3333

If the quotient is a whole number, then 3 and 2,890,670.3333 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 8,672,011
-1 -8,672,011

Let's try dividing by 4:

8,672,011 ÷ 4 = 2,168,002.75

If the quotient is a whole number, then 4 and 2,168,002.75 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 8,672,011
-1 8,672,011
Keep dividing by the next highest number until you cannot divide anymore.

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

167711,8234,757122,141129,4338,672,011
-1-67-71-1,823-4,757-122,141-129,433-8,672,011

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,672,011:


Ask a Question