Question

Express the following number as a product of powers of prime factor: 16000

Answer 1

16,000

= 16 × 1000

= (2 × 2 × 2 × 2) × 1000

= 2⁴ × 10³ .......(as 16 = 2 × 2 × 2 × 2)

= (2 × 2 × 2 × 2) × (2 × 2 × 2 × 5 × 5 × 5) = 2⁴ × 2³ × 5³.......(Since, 1000 = 2 × 2 × 2 × 5 × 5 × 5)

= (2 × 2 × 2 × 2 × 2 × 2 × 2 ) × (5 × 5 × 5)

or, 16,000 = 2⁷ × 5³.