Find the prime factors of $1729$. Arrange them in descending order. Is there any relationship between two consecutive prime factors?

Determine whether the following number is divisible by $15$.

$345$

Determine whether the following numbers are divisible by $15$.

$\mathrm{14,040}$

Determine whether the following numbers are divisible by $15$.

$\mathrm{12,345}$

Determine whether the following numbers are divisible by $15$.

$\mathrm{5,43,210}$

Determine whether the following numbers are divisible by $12$.

$2784$

Determine whether the following numbers are divisible by $12$.

$\mathrm{7,24,560}$

Determine whether the following numbers are divisible by $12$.

$\mathrm{4,67,744}$