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Solution


Q.

If the prime factorisation of 2520 is 23 × 3a × 𝑏 × 7, then the value of a + 2b is:
1 12  
2 10  
3 9  
4 7  

Ans.

(1)

2520 = 2 × 2 × 2 × 3 × 3 × 5 × 7 
= 2³ × 3² × 5 × 7
Comparing with 2520 = 2³ × 3ᵃ × b × 7
We get, a = 2, b = 5 ∴ a + 2b = 2 + 2 × 5 = 2 + 10 = 12