42 is not divisible by 12. The prime factorization of 42 is 2 × 3 × 7, and 12 is 2² × 3. The missing 2² in 42 prevents divisibility.
Class 6 Mathematics Chapter 5 Prime Time question answer
Class 6 NCERT Ganita Prakash Chapter 5 Prime Time
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Prime factorization is the process of expressing a number as a product of prime numbers. For example, 24 = 2³ × 3. It breaks down the number into its smallest divisible prime components.
Prime factorization helps verify divisibility:
• 42 = 2 × 3 × 7
• 12 = 2² × 3
While 42 contains 2 and 3, it lacks 2², which is necessary for divisibility by 12. Dividing 42 ÷ 12 leaves a remainder of 6, confirming that the factors of 12 are not fully represented in 42’s factorization, making it not divisible.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/