Q: What are the factor combinations of the number 80,579,231?

 A:
Positive:   1 x 8057923161 x 1320971109 x 7392596649 x 12119
Negative: -1 x -80579231-61 x -1320971-109 x -739259-6649 x -12119


How do I find the factor combinations of the number 80,579,231?

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 80,579,231, 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 80,579,231
-1 -80,579,231

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 80,579,231.

Example:
1 x 80,579,231 = 80,579,231
and
-1 x -80,579,231 = 80,579,231
Notice both answers equal 80,579,231

With that explanation out of the way, let's continue. Next, we take the number 80,579,231 and divide it by 2:

80,579,231 ÷ 2 = 40,289,615.5

If the quotient is a whole number, then 2 and 40,289,615.5 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 80,579,231
-1 -80,579,231

Now, we try dividing 80,579,231 by 3:

80,579,231 ÷ 3 = 26,859,743.6667

If the quotient is a whole number, then 3 and 26,859,743.6667 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 80,579,231
-1 -80,579,231

Let's try dividing by 4:

80,579,231 ÷ 4 = 20,144,807.75

If the quotient is a whole number, then 4 and 20,144,807.75 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 80,579,231
-1 80,579,231
Keep dividing by the next highest number until you cannot divide anymore.

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

1611096,64912,119739,2591,320,97180,579,231
-1-61-109-6,649-12,119-739,259-1,320,971-80,579,231

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 80,579,231:


Ask a Question