Question

16,200 expressed as a product of powers of prime numbers gives

• A. 23 × 33 × 54
• B. 23 × 33 × 53
• C. 24 × 33 × 53
• D. 23 × 34 × 52

Answer 1

The correct option is D 23 × 34 × 52

$16200=2\times 8100$

$=2\times 2\times 4050$

$=2\times 2\times 2\times 2025$

$=2\times 2\times 2\times 5\times 405$

$=2\times 2\times 2\times 5\times 5\times 81$

$=2\times 2\times 2\times 5\times 5\times 3\times 27$

$=2\times 2\times 2\times 5\times 5\times 3\times 3\times 9$

$=2\times 2\times 2\times 5\times 5\times 3\times 3\times 3\times 3$

$=2^3\times 5^2\times 3^4$