Question 29
Distinct primes $p_1,\ldots,p_n$ are written from left to right in the bottom row. Every box directly above two adjacent boxes contains their product. The top number is $K=p_1^{\alpha_1}\cdots p_n^{\alpha_n}$. If $\alpha_2=8$, how many numbers in the entire table are divisible by $p_4$?
