Class 5 Maths Chapter 6 Be My Multiple I’ll Be Your Factor – Complete Notes

🔢 Chapter 6 – Be My Multiple, I’ll Be Your Factor

Class: 5 (CBSE)
Subject: Mathematics
Main Concepts: Multiples, Factors, Common Multiples, Common Factors, Factor Tree

📘 Introduction

In this chapter, we learn about the special relationship between multiples and factors. We understand these ideas using stories, games, tables, and real-life problems.

🐭 Story: The Mouse and the Cat

Kunjan the mouse jumps in steps of 2. The cat jumps in steps of 3.

Steps jumped by mouse = multiples of $2$ → $2, 4, 6, 8, \dots$
Steps jumped by cat = multiples of $3$ → $3, 6, 9, 12, \dots$

If both reach the same step, the mouse is in danger. These common steps are called common multiples.

✖️ What are Multiples?

A multiple is the result of multiplying a number by whole numbers.

Multiples of $4$:
$4 \\times 1 = 4$
$4 \\times 2 = 8$
$4 \\times 3 = 12$
$4 \\times 4 = 16$

🎮 Meow Game (Multiples)

In the Meow Game:

Say “Meow” instead of multiples of a chosen number
For $3$: $3, 6, 9, 12, \dots$

These numbers are called multiples of 3.

🎲 Dice Game

Two dice show numbers like $2$ and $3$. We can form $23$ or $32$.

$32$ is a multiple of $4$ because $4 \\times 8 = 32$.

🔁 Common Multiples

A number that is a multiple of two numbers is called a common multiple.

Multiples of $3$: $3, 6, 9, 12, 15, 18, \dots$
Multiples of $5$: $5, 10, 15, 20, 25, \dots$

Common multiples: $15, 30, 45, \dots$

The smallest common multiple is called the LCM (introduced later).

🌰 Tamarind Seeds Puzzle

Sunita groups tamarind seeds in $4$, $5$, and $6$. Each time one seed is left.

The smallest number that leaves remainder $1$ in all cases is found using common multiples.

📐 Rectangles on Grid

If a rectangle is made using $20$ squares:

Possible rectangles:
$1 \\times 20$
$2 \\times 10$
$4 \\times 5$

This shows different factors of $20$.

🔢 What are Factors?

A factor is a number that divides another number exactly.

Factors of $12$:
$1, 2, 3, 4, 6, 12$

We can write:

$12 = 1 \\times 12$
$12 = 2 \\times 6$
$12 = 3 \\times 4$

📊 Multiplication Chart & Factors

Using a multiplication chart, we can easily find factors.

Since $6 \\times 4 = 24$, both $6$ and $4$ are factors of $24$.

🔗 Common Factors

Common factors are numbers that divide two numbers exactly.

Factors of $40$: $1, 2, 4, 5, 8, 10, 20, 40$
Factors of $60$: $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60$

Common factors: $1, 2, 4, 5, 10, 20$

🌳 Factor Tree

A factor tree shows how a number can be broken into factors.

Example for $24$:
$24 = 6 \\times 4$
$6 = 3 \\times 2$
$4 = 2 \\times 2$

🧱 Tiling Problems

Tiles of lengths $2$, $3$, and $5$ feet are used. The shortest path length must be a common multiple.

Common multiples of $2, 3, 5$ → $30, 60, \dots$
Shortest length = $30$ feet

✍️ Practice Questions

1) Write first five multiples of $7$.

2) Write all factors of $18$.

3) Find common multiples of $4$ and $6$.

4) Draw a factor tree for $36$.

5) Find the smallest length that can be tiled using $3$ ft and $4$ ft tiles.

✅ Quick Revision

✔ Multiples are products of multiplication
✔ Factors divide a number exactly
✔ Common multiples are shared multiples
✔ Common factors divide both numbers
✔ Factor tree breaks a number into factors

🎉 Chapter Complete

After studying this chapter, students can confidently identify multiples, factors, common factors, and solve real-life tiling problems.

Class 5 Maths Worksheet – Be My Multiple, I’ll Be Your Factor

📝 Complete Worksheet – Be My Multiple, I’ll Be Your Factor

Class: 5 (CBSE)
Chapter: Be My Multiple, I’ll Be Your Factor
Focus: Multiples, Factors, Common Multiples & Factors 🎯

Section A – Multiple Choice Questions (MCQs)

Q1. Which of the following is a multiple of $6$?

(a) $14$

(b) $18$

(d) $35$

Q2. Which number is a factor of $24$?

(a) $5$

(b) $7$

(d) $9$

Q3. The common multiple of $3$ and $5$ is:

(a) $10$

(b) $12$

(d) $18$

Q4. Which number has exactly two factors?

(a) $4$

(b) $6$

(d) $7$

✔ Q1 → (b) $18$
✔ Q2 → (c) $8$
✔ Q3 → (c) $15$
✔ Q4 → (d) $7$

Section B – Fill in the Blanks

1) The numbers obtained by multiplying a number are called __________.

2) A number that divides another number exactly is called a __________.

3) $12 = 3 \\times 4$, so $3$ and $4$ are __________ of $12$.

4) The smallest common multiple of $2, 3,$ and $5$ is __________.

✔ multiples
✔ factor
✔ factors
✔ $30$

Section C – Very Short Answer Questions

1) Write the first three multiples of $7$.

2) How many factors does $1$ have?

3) Is $15$ a multiple of $3$?

✔ $7, 14, 21$
✔ One
✔ Yes

Section D – Short Answer Questions

Q1. Write all the factors of $18$.

Q2. Write any four multiples of $5$.

Q3. What are common factors? Give one example.

✔ Factors of $18$: $1, 2, 3, 6, 9, 18$
✔ $5, 10, 15, 20$
✔ Common factors divide two numbers exactly (e.g. $2$ is a common factor of $6$ and $8$)

Section E – Long Answer Questions

Q1. Explain common multiples with an example.

Q2. Draw and explain a factor tree for $24$.

✔ Multiples common to two numbers are common multiples. Example: Common multiples of $3$ and $4$ are $12, 24, 36$.
✔ $24 = 6 \\times 4$, $6 = 3 \\times 2$, $4 = 2 \\times 2$

Section F – HOTS / Thinking Questions ⭐

Q1. Can two numbers have more than one common multiple? Explain.

Q2. The lengths of tiles are $2$ ft, $3$ ft and $5$ ft. What is the shortest length that can be tiled without cutting?

✔ Yes, they have infinitely many common multiples.
✔ $30$ ft

🎯 Worksheet Complete

✔ Practice tables daily
✔ Revise factors & multiples clearly
✔ Try making factor trees at home
✔ You are now **exam-ready** ✅