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In the context of the "The Complete Number System & HCF/LCM Course 2026," consider two distinct prime numbers, $p$ and $q$. If $N = p^3 q^2$, what is the total number of divisors of $N$?
According to the principles covered in "The Complete Number System & HCF/LCM Course 2026," if the HCF of two numbers $a$ and $b$ is 12 and their LCM is 72, and one of the numbers is 24, what is the other number?
In the context of "The Complete Number System & HCF/LCM Course 2026," what is the smallest positive integer that is divisible by all integers from 1 to 10, inclusive?
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