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  1. To find numbers divisible by 4: • 1730 – 1740: Test divisibility: 1732 ÷ 4 = 433, 1736 ÷ 4 = 434, 1740 ÷ 4 = 435. Results are 1732, 1736, and 1740. • 2030 – 2040: Test divisibility: 2032 ÷ 4 = 508, 2036 ÷ 4 = 509, 2040 ÷ 4 = 510. Results are 2032, 2036, and 2040. These numbers meet the condition, beRead more

    To find numbers divisible by 4:
    • 1730 – 1740: Test divisibility: 1732 ÷ 4 = 433, 1736 ÷ 4 = 434, 1740 ÷ 4 = 435. Results are 1732, 1736, and 1740.
    • 2030 – 2040: Test divisibility: 2032 ÷ 4 = 508, 2036 ÷ 4 = 509, 2040 ÷ 4 = 510. Results are 2032, 2036, and 2040.
    These numbers meet the condition, being multiples of 4 within their respective ranges.
    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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  2. The smallest 4-digit palindrome divisible by 4 is 2002, found after testing smaller palindromes for divisibility. Similarly, the largest 4-digit palindrome divisible by 4 is 9999, meeting the symmetry and divisibility conditions. Verifying divisors ensures no false inclusions or exclusions occur, paRead more

    The smallest 4-digit palindrome divisible by 4 is 2002, found after testing smaller palindromes for divisibility. Similarly, the largest 4-digit palindrome divisible by 4 is 9999, meeting the symmetry and divisibility conditions. Verifying divisors ensures no false inclusions or exclusions occur, particularly as the symmetry constraints require careful handling of the specific numeric properties concerning modularity and arithmetic parity.

    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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  3. Using prime factorizations: • (18, 35): Factors are 2,3 and 5,7; GCD = 1, co-prime. • (15, 37): Factors are 3,5 and 37; GCD = 1, co-prime. • (30, 415): Factors are 2,3,5 and 5, 83; GCD = 5, not co-prime. • (17, 69): Factors are 17 and 3, 23; GCD = 1, co-prime. • (81, 18): Factors are 3⁴ and 2,3²; GCRead more

    Using prime factorizations:
    • (18, 35): Factors are 2,3 and 5,7; GCD = 1, co-prime.
    • (15, 37): Factors are 3,5 and 37; GCD = 1, co-prime.
    • (30, 415): Factors are 2,3,5 and 5, 83; GCD = 5, not co-prime.
    • (17, 69): Factors are 17 and 3, 23; GCD = 1, co-prime.
    • (81, 18): Factors are 3⁴ and 2,3²; GCD = 9, not co-prime.
    Not co-prime numbers are two numbers that share common factors other than 1. Their greatest common divisor (GCD) is greater than 1. Examples include (8, 12) and (14, 28), sharing factors like 2 or 7.

    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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    • 44
  4. To find the smallest number that is a multiple of all numbers from 1 to 10 except 7, calculate their least common multiple (LCM). The LCM is 2520, derived from the primes 2³, 3², 5, 7. Exclude 7 by dividing: 2520 ÷ 7 = 360. The resulting number, 360, contains all factors of the remaining numbers 1 tRead more

    To find the smallest number that is a multiple of all numbers from 1 to 10 except 7, calculate their least common multiple (LCM). The LCM is 2520, derived from the primes 2³, 3², 5, 7. Exclude 7 by dividing: 2520 ÷ 7 = 360. The resulting number, 360, contains all factors of the remaining numbers 1 to 10, making it the smallest valid multiple without 7.

    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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    • 44
  5. To find the smallest number that is a multiple of all numbers from 1 to 10, compute the least common multiple (LCM) using their prime factorizations. The primes involved are 2³ (for 8), 3² (for 9), 5, and 7. Multiplying these gives 2³ × 3² × 5 × 7 = 2520. This result ensures divisibility by each numRead more

    To find the smallest number that is a multiple of all numbers from 1 to 10, compute the least common multiple (LCM) using their prime factorizations. The primes involved are 2³ (for 8), 3² (for 9), 5, and 7. Multiplying these gives 2³ × 3² × 5 × 7 = 2520. This result ensures divisibility by each number in the range, confirming it as the smallest valid number.

    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/

    See less
    • 47