Topic Details (Notes format)

How to Perform Prime Factorization

Subject: Mathematics

Book: Maths Mastery

Prime factorization is the process of breaking a number down into the product of its prime factors. For example, 60 can be factorized as 2 × 2 × 3 × 5, or 2² × 3 × 5. Common methods include repeatedly dividing by the smallest prime until the result is 1. Prime factorization underpins concepts like Greatest Common Divisor (GCD) and Least Common Multiple (LCM). It is extremely useful in simplifying fractions, analyzing cryptographic algorithms, and understanding integer properties. Regular practice with small to large numbers strengthens your factoring agility and cements foundational number theory skills.

Practice Questions

If the perimeter of a square is 40 cm, what is the area of the square?

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What is the HCF of 72 and 120?

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What is the square root of 0.25?

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If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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What is the sum of the first 20 odd numbers?

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If a square has a perimeter of 64 cm, what is its area?

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A man spends 75% of his income and saves Rs. 600. What is his total income?

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What is the square root of 144?

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The LCM of 12 and 15 is:

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What is the HCF of 48 and 180?

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