Introduction
Chapter Name : Factorization |
Sub Topic Code : 104_08_14_01_01 |
Topic Name : Introduction |
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Sub Topic Name : Factors Of Natural Numbers |
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Introduction
A number written as a product of primes is said to be in prime factors form
Pre-Requisites:
What do you mean by factors?
Activity:
Factorisation splits a number into simpler components. This principle can be applied to algebraic expressions as well.
Real Life Question:
How should I find LCM for large, complicated numbers?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Factors | The numbers that are multiplied to get another number |
| Prime factorization | A number that is written in the form of ‘product of primes’ |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Notepad | Take at least 20 numbers of your choice, preferably large & write prime factorization for them. |
Real life uses :
Most 5 digited or 6 digited number keys are known to be fed in the form of prime numbers for security purposes. (Not sure. Needs verification)
Practical examples around us
| Examples | Explainations |
|---|---|
| Prime factorization of 70 | 2 x 5 x 7 (1 is not included unless specifically told to be mentioned since 1 is a factor of all the numbers) |
| x5-6x3 + 3x4 -7x2 +1 | To solve this, one needs technique of factorization |
What you learn in Theory:
Algebraic expressions can be expressed in the form of products
What you learn in Practice:
Splitting an expression into simpler units will make it easier for operations