Prime factorization means expressing a number as a product of its prime factors. For example, 18 = 2 ×3². It breaks numbers into their smallest building blocks, which are prime numbers. 141: 3 × 47, 1728: 2⁶ × 3³, 1024: 2¹⁰. These numbers are expressed as products of their prime factors through repeated division by smaller primes.
Class 6 Mathematics Chapter 5 Prime Time question answer
Class 6 NCERT Ganita Prakash Chapter 5 Prime Time
Prime factorizations are:
• 141: Divisible by 3, 141 ÷ 3 = 47, so 141 = 3 × 47.
• 1728: Divisible by 2, 1728 = 2⁶ × 3³, as confirmed through successive divisions.
• 1024: All factors are 2, 1024 = 2¹⁰
Prime factorization breaks down numbers into the smallest building blocks, revealing these decompositions through iterative division.
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