Q: What are the factor combinations of the number 80,471,081?

 A:
Positive:   1 x 8047108117 x 4733593269 x 2991494573 x 17597
Negative: -1 x -80471081-17 x -4733593-269 x -299149-4573 x -17597


How do I find the factor combinations of the number 80,471,081?

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 80,471,081, 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 80,471,081
-1 -80,471,081

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 80,471,081.

Example:
1 x 80,471,081 = 80,471,081
and
-1 x -80,471,081 = 80,471,081
Notice both answers equal 80,471,081

With that explanation out of the way, let's continue. Next, we take the number 80,471,081 and divide it by 2:

80,471,081 ÷ 2 = 40,235,540.5

If the quotient is a whole number, then 2 and 40,235,540.5 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 80,471,081
-1 -80,471,081

Now, we try dividing 80,471,081 by 3:

80,471,081 ÷ 3 = 26,823,693.6667

If the quotient is a whole number, then 3 and 26,823,693.6667 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 80,471,081
-1 -80,471,081

Let's try dividing by 4:

80,471,081 ÷ 4 = 20,117,770.25

If the quotient is a whole number, then 4 and 20,117,770.25 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 80,471,081
-1 80,471,081
Keep dividing by the next highest number until you cannot divide anymore.

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

1172694,57317,597299,1494,733,59380,471,081
-1-17-269-4,573-17,597-299,149-4,733,593-80,471,081

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 80,471,081:


Ask a Question