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 72 and 120?

View Question

A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

View Question

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

View Question

If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

View Question

A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

View Question

What is the value of log₃(27)?

View Question

If sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?

View Question

If 2a + b = 10 and a - b = 4, what is the value of a?

View Question

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

View Question

If the length of a rectangle is doubled and the width is halved, what is the change in area?

View Question