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

A car travels 240 km in 4 hours. What is its average speed?

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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What is the sum of all even numbers between 1 and 100?

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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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If a = 4 and b = 5, what is the value of (a+b)^2?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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