Q: What are the factor combinations of the number 808,035,013?

 A:
Positive:   1 x 808035013251 x 32192631259 x 6418072557 x 316009
Negative: -1 x -808035013-251 x -3219263-1259 x -641807-2557 x -316009


How do I find the factor combinations of the number 808,035,013?

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 808,035,013, 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.

1 808,035,013
-1 -808,035,013

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 808,035,013.

Example:
1 x 808,035,013 = 808,035,013
and
-1 x -808,035,013 = 808,035,013
Notice both answers equal 808,035,013

With that explanation out of the way, let's continue. Next, we take the number 808,035,013 and divide it by 2:

808,035,013 ÷ 2 = 404,017,506.5

If the quotient is a whole number, then 2 and 404,017,506.5 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:

1 808,035,013
-1 -808,035,013

Now, we try dividing 808,035,013 by 3:

808,035,013 ÷ 3 = 269,345,004.3333

If the quotient is a whole number, then 3 and 269,345,004.3333 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:

1 808,035,013
-1 -808,035,013

Let's try dividing by 4:

808,035,013 ÷ 4 = 202,008,753.25

If the quotient is a whole number, then 4 and 202,008,753.25 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:

1 808,035,013
-1 808,035,013
Keep dividing by the next highest number until you cannot divide anymore.

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

12511,2592,557316,009641,8073,219,263808,035,013
-1-251-1,259-2,557-316,009-641,807-3,219,263-808,035,013

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 808,035,013:


Ask a Question