Factorising Expressions

What is Factorization?

Factorization is like finding the building blocks of a number or expression. It’s breaking it down into smaller pieces that, when multiplied together, give you the original number or expression.

Example: Factorizing 12

Let’s look at the number 12. We want to find two numbers that, when multiplied, give us 12.

Factors of 12:

• 1×12=121×12=12
• 2×6=122×6=12
• 3×4=123×4=12

So, the factors of 12 are 1, 2, 3, 4, 6, and 12

Why Factorize?

Factorizing helps us understand the parts of an expression and makes it easier to work with. It’s like breaking a big problem into smaller, more manageable pieces.

Practice: Factorize 3�+63y+6

Can you find two expressions that, when multiplied, give us 3�+63y+6?

Factors:

• 3×�+3×2=3�+63×y+3×2=3y+6

So, 3�+63y+6 can be factorized as 3×(�+2)3×(y+2).

Summary:

• Factorization is like finding the friends or building blocks of a number or expression.
• It helps us break down big problems into smaller, manageable pieces.
• Practice makes perfect! Try factorizing different expressions to get the hang of it.

Remember, factorization is a fundamental concept in mathematics, and as kids practice more, they’ll become more comfortable with breaking down numbers and expressions into their smaller parts.