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

What is the HCF of 48 and 180?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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What is the sum of all angles in a hexagon?

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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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If 8x = 512, what is the value of x?

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

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

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

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A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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