168 is divisible by 12. The prime factorization of 168 is 2³ × 3 × 7, and 12 is 2² × 3. All factors of 12 are included in 168’s factorization.
Class 6 Mathematics Chapter 5 Prime Time question answer
Class 6 NCERT Ganita Prakash Chapter 5 Prime Time
Share
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.
To check divisibility, find the prime factorization:
• 168 = 2³ × 3 × 712
• 12 = 2² × 3
All prime factors of 12 are included in 168’s factorization, with 2² and 3 present. Dividing confirms this: 168 ÷ 12 = 14, with no remainder. Since 12’s prime factors are fully represented in 168’s decomposition, it is divisible by 12.
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/