How do I find the factors or divisors of the number 26,320?

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 26,320, 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 26,320

Next, we take the number 26,320 and divide it by 2.

In this case, 26,320 ÷ 2 = 13,160

If the quotient is a whole number, then 2 and 13,160 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 13,160 26,320

Now, we try dividing 26,320 by 3.

26,320 ÷ 3 = 8,773.3333

If the quotient is a whole number, then 3 and 8,773.3333 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 13,160 26,320

Let's try dividing by 4.

26,320 ÷ 4 = 6,580

If the quotient is a whole number, then 4 and 6,580 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 6,580 13,160 26,320

We keep dividing by the next largest number, in this case the number 5. If the quotient of 26,320 ÷ 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:

1245781014162028354047567080941121401882352803293764705606587529401,3161,6451,8802,6323,2903,7605,2646,58013,16026,320

All of the numbers in the table above can be evenly divided into the number 26,320.

Finally, for your reference, here are all of the divisor combinations of the number 26,320:

1 x 263202 x 131604 x 65805 x 52647 x 37608 x 329010 x 263214 x 188016 x 164520 x 131628 x 94035 x 75240 x 65847 x 56056 x 47070 x 37680 x 32994 x 280112 x 235140 x 188


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 26,320:


Ask a Question