Express $3825$ as a product of its prime factors.

• A
  $3^{2} \times 5^{3} \times 17$
• B
  $3^{2} \times 5^{2} \times 17$
• C
  $3^{3} \times 5^{2} \times 17$
• D
  $3^{2} \times 5^{2} \times 19$