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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How many ways can 4 people sit in a row?

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If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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What is the length of the diagonal of a square with a side length of 7 cm?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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What is the greatest common divisor (GCD) of 36 and 48?

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What is the area of an equilateral triangle with side length 10 cm?

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

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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