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 sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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If x^2 + 4x + 4 = 0, what is the value of x?

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If the radius of a circle is doubled, what happens to its area?

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

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If x² - 9x + 18 = 0, what are the roots of the equation?

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

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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If the probability of an event is 1/4, what is the probability of its complement?

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

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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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