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 sum of all even numbers between 1 and 50?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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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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How many ways can 4 people sit in a row?

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

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

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

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

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