343 is not divisible by 17. The prime factorization of 343 is 7³ while 17 is a prime number. Since 17 is not a factor of 343, the two numbers are not divisible.
Class 6 Mathematics Ganita Prakash Prime Time
Class 6 Mathematics Chapter 5 Prime Time question answer
The prime factorization of 343 is 7³, indicating it is composed entirely of the prime number 7. Meanwhile, 17 is a prime number with no shared factors with 7. For divisibility, all prime factors of 17 must appear in 343’s factorization, which they do not. Hence, 343 is not divisible by 17, as their factorization reveals no overlap or commonality in prime factors.
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