Question

Q2. Find the prime factors of 56 by making factor tree Q3. Find the HCF of 12 and 18 by factor method.

Q4. Find the HCF of 12 and 16 by prime factorisation method

Q5. The product of two numbers is 150. If their LCM is 30, find their HCF

Q6. Find the LCM of 36 and 42 by division method​

Answer 1

Ans 2. 56 = 2×2×2×7

Ans 3. HCF of 12 and 18 by Prime Factorization

Prime factorization of 12 and 18 is (2 × 2 × 3) and (2 × 3 × 3) respectively. As visible, 12 and 18 have common prime factors. Hence, the HCF of 12 and 18 is 2 × 3 = 6.

Ans 4. HCF of 12 and 16 by Prime Factorization

Prime factorization of 12 and 16 is (2 × 2 × 3) and (2 × 2 × 2 × 2) respectively. As visible, 12 and 16 have common prime factors. Hence, the HCF of 12 and 16 is 2 × 2 = 4.

Ans 5. Do it yourself...

Ans 6. The LCM of 36 and 42 is the product of all prime numbers on the left, i.e. LCM(36, 42) by division method = 2 × 2 × 3 × 3 × 7 = 252.

Answer 2

Step-by-step explanation:

Refer to the attachment