Q: What are the factor combinations of the number 8,713,367?

 A:
Positive:   1 x 871336713 x 67025917 x 51255189 x 97903221 x 39427443 x 196691157 x 75311513 x 5759
Negative: -1 x -8713367-13 x -670259-17 x -512551-89 x -97903-221 x -39427-443 x -19669-1157 x -7531-1513 x -5759


How do I find the factor combinations of the number 8,713,367?

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 8,713,367, 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 8,713,367
-1 -8,713,367

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 8,713,367.

Example:
1 x 8,713,367 = 8,713,367
and
-1 x -8,713,367 = 8,713,367
Notice both answers equal 8,713,367

With that explanation out of the way, let's continue. Next, we take the number 8,713,367 and divide it by 2:

8,713,367 ÷ 2 = 4,356,683.5

If the quotient is a whole number, then 2 and 4,356,683.5 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 8,713,367
-1 -8,713,367

Now, we try dividing 8,713,367 by 3:

8,713,367 ÷ 3 = 2,904,455.6667

If the quotient is a whole number, then 3 and 2,904,455.6667 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 8,713,367
-1 -8,713,367

Let's try dividing by 4:

8,713,367 ÷ 4 = 2,178,341.75

If the quotient is a whole number, then 4 and 2,178,341.75 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 8,713,367
-1 8,713,367
Keep dividing by the next highest number until you cannot divide anymore.

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

11317892214431,1571,5135,7597,53119,66939,42797,903512,551670,2598,713,367
-1-13-17-89-221-443-1,157-1,513-5,759-7,531-19,669-39,427-97,903-512,551-670,259-8,713,367

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,713,367:


Ask a Question