Multiplication Tables of 3 and 4
The multiplication tables of 3 and 4 are essential building blocks for Class 3 students. Knowing these tables by heart helps with quick calculations, division, and solving word problems.
The table of 3 gives multiples of 3 (3, 6, 9, 12...) and the table of 4 gives multiples of 4 (4, 8, 12, 16...). Both tables share some common multiples like 12 and 24.
What is Multiplication Tables of 3 and 4 - Class 3 Maths (Multiplication (Grade 3))?
| 3 × | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| = | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 |
| 4 × | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| = | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 |
Pattern in table of 3: The ones digits follow the pattern 3, 6, 9, 2, 5, 8, 1, 4, 7, 0 — and then repeat.
Pattern in table of 4: The ones digits alternate — 4, 8, 2, 6, 0, 4, 8, 2, 6, 0. All products are even numbers.
Solved Examples
Example 1: Finding a Product from Table of 3
Question: What is 3 × 7?
Think:
- 3 × 7 means 7 groups of 3
- 3, 6, 9, 12, 15, 18, 21
- Or: 3 × 7 = 21
Answer: 3 × 7 = 21
Example 2: Finding a Product from Table of 4
Question: What is 4 × 6?
Think:
- 4 × 6 means 6 groups of 4
- 4, 8, 12, 16, 20, 24
Answer: 4 × 6 = 24
Example 3: Word Problem — Wheels on Autos
Question: An auto-rickshaw has 3 wheels. How many wheels do 8 auto-rickshaws have?
Think:
- 8 groups of 3 = 8 × 3
- 8 × 3 = 24
Answer: 8 auto-rickshaws have 24 wheels.
Example 4: Word Problem — Table Legs
Question: Each table has 4 legs. How many legs do 9 tables have?
Think:
- 9 × 4 = 36
Answer: 9 tables have 36 legs.
Example 5: Missing Factor
Question: 3 × ___ = 18. Find the missing number.
Think:
- Count by 3s: 3, 6, 9, 12, 15, 18
- 18 is the 6th multiple of 3
- 3 × 6 = 18
Answer: The missing number is 6.
Example 6: Comparing Products
Question: Which is more: 3 × 9 or 4 × 7?
Think:
- 3 × 9 = 27
- 4 × 7 = 28
- 28 > 27
Answer: 4 × 7 = 28 is more.
Example 7: Link Between Tables of 3 and 4
Question: Which number appears in both the table of 3 and the table of 4?
Think:
- Table of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
- Table of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
- Common: 12, 24
Answer: 12 and 24 appear in both tables.
Example 8: Word Problem — Mangoes in Bags
Question: Priya packs 3 mangoes in each bag. She has 10 bags. How many mangoes in total?
Think:
- 10 × 3 = 30
Answer: Priya has 30 mangoes.
Example 9: Building Table of 4 from Table of 2
Question: If 2 × 8 = 16, what is 4 × 8?
Think:
- 4 is double of 2
- 4 × 8 = 2 × (2 × 8) = 2 × 16 = 32
Answer: 4 × 8 = 32. (The table of 4 is double the table of 2.)
Example 10: Skip Counting Connection
Question: Skip count by 3 starting from 3 to find 3 × 5.
Think:
- 3, 6, 9, 12, 15
- The 5th number is 15
Answer: 3 × 5 = 15
Real-World Applications
Where are tables of 3 and 4 used?
- Table of 3: Auto-rickshaws have 3 wheels → 8 autos = 8 × 3 = 24 wheels. Triangles have 3 sides → 5 triangles = 5 × 3 = 15 sides. Traffic lights have 3 colours.
- Table of 4: Cars have 4 wheels → 6 cars = 6 × 4 = 24 wheels. Tables have 4 legs → 9 tables = 9 × 4 = 36 legs. A square has 4 sides.
- Division: Knowing 3 × 8 = 24 means 24 ÷ 3 = 8 and 24 ÷ 8 = 3. Tables help with division too.
- Shopping: If pens cost ₹3 each, the cost of 9 pens = 9 × 3 = ₹27.
The tables of 3 and 4 are used frequently in word problems and practical calculations. Students should aim to recall any fact from these tables instantly.
Key Points to Remember
- Table of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
- Table of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40.
- Table of 4 = double of table of 2.
- All products in the table of 4 are even numbers.
- Common multiples of 3 and 4 (up to 40): 12, 24.
- Skip counting by 3 or 4 gives the same results as the multiplication table.
Practice Problems
- What is 3 × 8?
- What is 4 × 9?
- Fill in: 3 × ___ = 27.
- Fill in: 4 × ___ = 32.
- Kavi has 4 packs of crayons with 3 crayons each. How many crayons?
- Which is more: 3 × 10 or 4 × 7?
- Write the first 12 multiples of 3.
- How many wheels on 7 cars (4 wheels each)?
Frequently Asked Questions
Q1. How do I memorise the table of 3?
Practise skip counting by 3: 3, 6, 9, 12, 15... Say it aloud, write it repeatedly, and test yourself with flashcards. Notice the pattern in ones digits: 3, 6, 9, 2, 5, 8, 1, 4, 7, 0.
Q2. How do I memorise the table of 4?
Since table of 4 is double the table of 2, you can double each product of the 2 table. Also practise skip counting by 4: 4, 8, 12, 16, 20...
Q3. Why are all products in the table of 4 even?
Because 4 is an even number. An even number multiplied by any number always gives an even product.
Q4. What is the relationship between tables of 3 and 4?
There is no direct doubling relationship, but they share common multiples at 12, 24, 36, etc. (every 12th number). These are multiples of their LCM (12).
Q5. How is the table of 3 useful?
The table of 3 helps with problems involving triangles (3 sides), auto-rickshaws (3 wheels), tripling quantities, and dividing by 3.
Q6. How is the table of 4 useful?
The table of 4 helps with problems involving squares (4 sides), cars (4 wheels), table legs, and dividing by 4.
Q7. What comes after 3 × 10 in the table of 3?
3 × 11 = 33 and 3 × 12 = 36. The pattern continues — add 3 each time.
Q8. Is 3 × 7 the same as 7 × 3?
Yes. Multiplication is commutative, so 3 × 7 = 7 × 3 = 21. The order does not change the product.
Related Topics
- Multiplication Tables of 6 and 7
- Multiplication Table of 2
- Multiplication Concept (Grade 3)
- Multiplication Tables of 8 and 9
- Multiplication by 10 and 100
- Multiplication of 2-Digit by 1-Digit
- Multiplication Word Problems (Grade 3)
- Properties of Multiplication
- Multiplying by 0 and 1
- Multiplication Tables (2 to 10)
- Multiplication of 2-Digit Numbers (Grade 3)
