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Real numbers constitute the union of all rational and irrational numbers.

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Real numbers constitute the union of all rational and irrational numbers.

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Every composite number can be factorized as a product of primes, and this factorization is unique, apart from the order in which the prime factors occur."

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Q 1. Find the HCF (865, 255) using Euclid’s division lemma.

Q 2. Express 98 as a product of its primes.

Q 3. Find HCF and LCM of 13 and 17 by prime factorization method.

Q 4. Explain why (17 × 5 × 11 × 3 × 2 + 2 × 11) is a composite number?

Q 5. Can two numbers have 15 as their HCF and 175 as their LCM? Give reasons.

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Complete the following factor tree and find the composite number x and y.

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Complete the following factor tree and find the composite number x and y.

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Using Euclid’s division lemma how to find out  the HCF of 18 and 30.

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Using Euclid’s division lemma how to find out  the HCF of 18 and 30.

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Product of Two Numbers = HCF X LCM of the Numbers

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Product of Two Numbers = HCF X LCM of the Numbers

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Example – For 36 and 56, the H.C.F is 4 and the L.C.M is 504
36×56=2016
4×504=2016