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Is the first number divisible by the second? Use prime factorization. a) 225 and 27

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225 is not divisible by 27. The prime factorization of 225 is 3² x 5², while 27 is 3³. Since 27 has a higher power of 3, it cannot divide 225.

class 6 Mathematics Textbook Chapter 5 question answer

class 6 Mathematics Chapter 5 Prime Time solutions

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  1. The prime factorization of 225 is 3² x 5² and that of 27 is 3³. For divisibility, the prime factorization of the divisor must be included in the dividend’s factorization. Here, 27 has 3³, while 225 only has 3², making divisibility impossible. Thus, 225 is not divisible by 27 because the power of 3 in 225’s factorization is insufficient to accommodate the full factorization of 27.

    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/

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