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Learning Objective
At the end of the lesson, you will understand the concept of factorization, identify factors of numbers, and apply factorization in solving equations.
What do you already know about factorization and its applications?
What is Factorization?
Factorization is the process of breaking down numbers or expressions into their constituent factors. These factors, when multiplied together, give the original number or expression.
Why Learn Factorization?
Factorization simplifies mathematical expressions, helps in solving equations, and is crucial for understanding higher-level maths concepts like algebra.
Identifying Factors
Factors are numbers that divide another number completely without leaving a remainder. For example, factors of 12 are 1, 2, 3, 4, 6, 12.
Prime Factorization
Prime factorization is expressing a number as the product of its prime factors. E.g., 28 = 2 x 2 x 7.
Factorization in Algebra
In algebra, factorization involves finding expressions that multiply to form a given polynomial, e.g., x^2 - 5x + 6 = (x - 2)(x - 3).
Applications of Factorization
Factorization is used to simplify expressions, solve quadratic equations, and find the greatest common divisor (GCD) of numbers.
Interactive Factorization Exercise
Engage in an interactive exercise where students factorize numbers and expressions using an online tool or worksheet.
Write down 3 things you learned in this lesson.
Write down 2 things you want to know more about.
Ask 1 question about something you haven't quite understood yet.