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### 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.