40 and 231 are co-prime. The prime factorization of 40 is 2³ × 5 and 231 = 3 × 7 × 11. Since they share no common factors, they are co-prime.
Class 6 Mathematics Ganita Prakash Prime Time
Class 6 Mathematics Chapter 5 Prime Time question answer
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To verify co-primality, find the prime factorization:
• 40 = 2³ × 5, with prime factors 2 and 5.
• 231 = 3 × 7 × 11, with prime factors 3, 7, and 11.
Since there are no overlapping prime factors between 40 and 231, their greatest common divisor (GCD) is 1. Therefore, they are co-prime, satisfying the condition of having no shared factors except for 1.
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