##### Is D36 a distributive lattice?

Is D_{36} a distributive lattice?

**Answer**

Ans is __NO__

We can check , whether D_{36} is a distributive lattice or not by checking whether we can get it by product of distinct primes.

Example: D_{2}_{6} is a distributive lattice as 26 can be wriiten as 2*13 where , 2 and 13 are distinct primes.

While, D_{36} is not a distributive lattice as 36 = 2*2*3*3 which is not a product of distinct primes.