Prime factorization is the process of breaking down a number into its prime factors. It involves dividing the number by the smallest prime number and continuing until all factors are prime. This method helps in finding the prime factors of a number and is useful for calculating HCF and LCM.
This chapter focuses on prime numbers composite numbers and prime factorization. It explains how to find factors and multiples of numbers and introduces divisibility rules. Prime factorization is used to simplify numbers and solve problems involving HCF and LCM. The chapter enhances students’ problem-solving skills and logical reasoning.
The prime factorization of 72 is 2³ × 3². To break it down:
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
So the prime factorization is 2³ × 3².
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