Q: What are the factor combinations of the number 8,408,317?

 A:
Positive:   1 x 840831719 x 44254323 x 36557971 x 118427271 x 31027437 x 192411349 x 62331633 x 5149
Negative: -1 x -8408317-19 x -442543-23 x -365579-71 x -118427-271 x -31027-437 x -19241-1349 x -6233-1633 x -5149


How do I find the factor combinations of the number 8,408,317?

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 8,408,317, 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 8,408,317
-1 -8,408,317

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 8,408,317.

Example:
1 x 8,408,317 = 8,408,317
and
-1 x -8,408,317 = 8,408,317
Notice both answers equal 8,408,317

With that explanation out of the way, let's continue. Next, we take the number 8,408,317 and divide it by 2:

8,408,317 ÷ 2 = 4,204,158.5

If the quotient is a whole number, then 2 and 4,204,158.5 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 8,408,317
-1 -8,408,317

Now, we try dividing 8,408,317 by 3:

8,408,317 ÷ 3 = 2,802,772.3333

If the quotient is a whole number, then 3 and 2,802,772.3333 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 8,408,317
-1 -8,408,317

Let's try dividing by 4:

8,408,317 ÷ 4 = 2,102,079.25

If the quotient is a whole number, then 4 and 2,102,079.25 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 8,408,317
-1 8,408,317
Keep dividing by the next highest number until you cannot divide anymore.

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

11923712714371,3491,6335,1496,23319,24131,027118,427365,579442,5438,408,317
-1-19-23-71-271-437-1,349-1,633-5,149-6,233-19,241-31,027-118,427-365,579-442,543-8,408,317

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,408,317:


Ask a Question