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Find the smallest number that is a multiple of all the numbers from 1 to 10 except for 7.
The least common multiple (LCM) of all numbers from 1 to 10 is 2520, found by considering their prime factorizations. To exclude 7, divide 2520 by 7, yielding 360. This number is divisible by all integers from 1 to 10 except 7, satisfying the condition. The prime factorization of 360 further confirmRead more
The least common multiple (LCM) of all numbers from 1 to 10 is 2520, found by considering their prime factorizations. To exclude 7, divide 2520 by 7, yielding 360. This number is divisible by all integers from 1 to 10 except 7, satisfying the condition. The prime factorization of 360 further confirms this: 360 = 2 × 2 × 2 × 3 × 3 × 5, excluding 7 as a factor.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
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Find the smallest number that is a multiple of all the numbers from 1 to 10.
To determine the smallest number that is a multiple of all numbers from 1 to 10, compute their least common multiple (LCM). Using prime factorizations, we find that 2, 3, 5, and 7 must be included with appropriate powers. The LCM is 2520, derived from 2³ × 3² × 5 × 7. This number is divisible by eveRead more
To determine the smallest number that is a multiple of all numbers from 1 to 10, compute their least common multiple (LCM). Using prime factorizations, we find that 2, 3, 5, and 7 must be included with appropriate powers. The LCM is 2520, derived from 2³ × 3² × 5 × 7. This number is divisible by every integer from 1 to 10, confirming it as the smallest common multiple for this range.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
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How many prime numbers are there from 21 to 30? How many composite numbers are there from 21 to 30?
Between 21 and 30, the prime numbers are 23 and 29, totaling 2. These numbers have no divisors other than 1 and themselves. The remaining numbers (21, 22, 24, 25, 26, 27, 28, and 30) are composite, totaling 8. Composite numbers have additional divisors, like 24 (divisible by 2, 3, 4, 6, 8, and 12).Read more
Between 21 and 30, the prime numbers are 23 and 29, totaling 2. These numbers have no divisors other than 1 and themselves. The remaining numbers (21, 22, 24, 25, 26, 27, 28, and 30) are composite, totaling 8. Composite numbers have additional divisors, like 24 (divisible by 2, 3, 4, 6, 8, and 12). Together, primes and composites account for all integers within this interval.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
How many prime numbers are there between 1 and 100?
Between 1 and 100, there are exactly 25 prime numbers. These numbers include 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Each of these has only two divisors, 1 and itself. They are fundamental in mathematics, as they form the building blocks foRead more
Between 1 and 100, there are exactly 25 prime numbers. These numbers include 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Each of these has only two divisors, 1 and itself. They are fundamental in mathematics, as they form the building blocks for all composite numbers through multiplication.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
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Is there any even prime number other than 2?
Among all integers, 2 is unique as the only even prime number. A prime number has exactly two divisors: 1 and itself. Any even number other than 2 is divisible by 2, making it composite rather than prime. For example, 4, 6, 8, and 10 all have additional divisors besides 1 and themselves, disqualifyiRead more
Among all integers, 2 is unique as the only even prime number. A prime number has exactly two divisors: 1 and itself. Any even number other than 2 is divisible by 2, making it composite rather than prime. For example, 4, 6, 8, and 10 all have additional divisors besides 1 and themselves, disqualifying them as primes. Hence, 2 is the sole even number meeting the prime number criteria.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/