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 the perimeter of a square is 36 cm, what is the length of its diagonal?

View Question

If x:y = 2:3 and z:y = 4:3, what is x:z?

View Question

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

View Question

If the product of two numbers is 120 and their sum is 26, what are the numbers?

View Question

If a = 4 and b = 5, what is the value of (a+b)^2?

View Question

What is the sum of the first 50 positive integers?

View Question

What is the slope of a line passing through the points (2, 3) and (4, 7)?

View Question

If x² - 9x + 18 = 0, what are the roots of the equation?

View Question

The sides of a triangle are 7, 24, and 25. Is this a right triangle?

View Question

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

View Question