Factors and Multiples — Lesson
🌟 Let's Discover Factors and Multiples! 🌟
1) Hook — A Fun Story 🍎🍌
Raju and Meena went to the market to buy fruits. Raju bought 12 apples and Meena bought 18 bananas. They wanted to pack the fruits equally into small boxes without cutting any fruit. How many fruits can they put in each box?
To solve this, we need to learn about Factors and Multiples!
2) Core Concepts — What are Factors and Multiples?
Factors: Factors of a number are numbers that divide it exactly without leaving a remainder.
Example: Factors of 12 are numbers that divide 12 exactly.
| Number | Factors |
|---|---|
| 12 | 1, 2, 3, 4, 6, 12 |
| 18 | 1, 2, 3, 6, 9, 18 |
Multiples: Multiples of a number are what you get when you multiply the number by 1, 2, 3, and so on.
Example: Multiples of 4 are 4, 8, 12, 16, 20, ...
| Number | First 5 Multiples |
|---|---|
| 4 | 4, 8, 12, 16, 20 |
| 5 | 5, 10, 15, 20, 25 |
3) Key Formulas / Rules 📚
Rule 1: If a × b = c, then both a and b are factors of c.
Rule 2: Multiples of a number are infinite. Keep multiplying by 1, 2, 3, 4, ...
4) Did You Know? 🤔
The number 1 is a special factor! It is a factor of every number in the world! Just like how 1 rupee coin can be used to make any amount of money! 💰
5) Exam Tips ✍️
- Always check if the number divides exactly (no remainder) to be a factor.
- Remember, multiples go on forever! Write only what is asked.
- For questions like Raju and Meena's, find the Greatest Common Factor (GCF) to pack fruits equally.
- Practice tables well — they help find factors and multiples faster!
- Common mistake: Mixing factors and multiples. Factors divide the number; multiples are made by multiplying the number.
Factors and Multiples — Mcq
Factors and Multiples — Mnemonic
🎉 Fun Mnemonics for Factors & Multiples 🎉
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1. FACTOR FRIENDS 🤝
“Friends Always Come To Our Room!”
This means: Factors are the friends (numbers) who come together to make a number.
Example: 2 and 3 are friends of 6 because 2 × 3 = 6!
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2. MULTIPLE MAGIC ✨
“Many Umbrellas Look Tall, Please Use Lots Everytime!”
This silly phrase helps you remember Multiples are many jumps of a number.
Example: Multiples of 4 are 4, 8, 12, 16, and so on!
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3. Hindi Rhymes for Factors & Multiples 🇮🇳
“गुणक हैं जो बाँटते, भाजक हैं जो मिलाते!”
(Gunak hain jo baant-te, Bhaajak hain jo milaate!)
Meaning: Factors (गुणक) divide the number, Multiples (भाजक) combine to make the number.
Example: 3 divides 12 (factor), and 12 is a multiple of 3!
Keep these fun tricks in your mind and math will be a breeze! 🌟📚
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