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 3x = 81, what is the value of x?

View Question

If x + y = 10 and xy = 21, what is the value of x³ + y³?

View Question

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

View Question

The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

View Question

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

View Question

What is the square root of 0.25?

View Question

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

View Question

The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

View Question

What is the HCF of 72 and 120?

View Question

If a:b = 5:7 and b:c = 6:11, what is a:c?

View Question