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

The area of an equilateral triangle with side length 6 cm is:

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The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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If x^2 - 6x + 9 = 0, what is the value of x?

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What is the cube root of 729?

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

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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A sphere has a radius of 7 cm. What is its volume?

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If the average of five consecutive odd numbers is 25, what is the largest number?

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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A cube has a side length of 4 cm. What is its volume?

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