Q: What are the factor combinations of the number 80,800,841?

 A:
Positive:   1 x 8080084111 x 7345531751 x 1075918261 x 9781
Negative: -1 x -80800841-11 x -7345531-751 x -107591-8261 x -9781


How do I find the factor combinations of the number 80,800,841?

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 80,800,841, 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 80,800,841
-1 -80,800,841

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 80,800,841.

Example:
1 x 80,800,841 = 80,800,841
and
-1 x -80,800,841 = 80,800,841
Notice both answers equal 80,800,841

With that explanation out of the way, let's continue. Next, we take the number 80,800,841 and divide it by 2:

80,800,841 ÷ 2 = 40,400,420.5

If the quotient is a whole number, then 2 and 40,400,420.5 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 80,800,841
-1 -80,800,841

Now, we try dividing 80,800,841 by 3:

80,800,841 ÷ 3 = 26,933,613.6667

If the quotient is a whole number, then 3 and 26,933,613.6667 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 80,800,841
-1 -80,800,841

Let's try dividing by 4:

80,800,841 ÷ 4 = 20,200,210.25

If the quotient is a whole number, then 4 and 20,200,210.25 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 80,800,841
-1 80,800,841
Keep dividing by the next highest number until you cannot divide anymore.

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

1117518,2619,781107,5917,345,53180,800,841
-1-11-751-8,261-9,781-107,591-7,345,531-80,800,841

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 80,800,841:


Ask a Question