Q: What are the factors or divisors of the number 6,904?

 A: 1248863172634526904

How do I find the factors or divisors of the number 6,904?

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 factors of larger numbers. To find the factors of the number 6,904, it is easiest to start from the outside in. Here's what we mean:

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.

1 6,904

Next, we take the number 6,904 and divide it by 2.

In this case, 6,904 ÷ 2 = 3,452

If the quotient is a whole number, then 2 and 3,452 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 3,452 6,904

Now, we try dividing 6,904 by 3.

6,904 ÷ 3 = 2,301.3333

If the quotient is a whole number, then 3 and 2,301.3333 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2 3,452 6,904

Let's try dividing by 4.

6,904 ÷ 4 = 1,726

If the quotient is a whole number, then 4 and 1,726 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2 4 1,726 3,452 6,904

We keep dividing by the next largest number, in this case the number 5. If the quotient of 6,904 ÷ 5 is a whole number, then 5 and your quotient are factors of the number.


Keep dividing by the next highest number until you cannot divide anymore.


What you will end up with is this table:

12488631,7263,4526,904

All of the numbers in the table above can be evenly divided into the number 6,904.

Finally, for your reference, here are all of the divisor combinations of the number 6,904:

1 x 6904
2 x 3452
4 x 1726
8 x 863


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 6,904:


Ask a Question