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 a number is divisible by 9, it is also divisible by which of the following?

View Question

A man spends 75% of his income and saves Rs. 600. What is his total income?

View Question

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

View Question

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

View Question

A number is increased by 20% and then decreased by 10%. What is the net change?

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

A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

View Question

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

View Question

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

View Question

What is the square root of 0.25?

View Question