3 Times Table
Master the 3 times table with tips, patterns, and interactive practice. Below you will find every fact from 3 × 1 through 3 × 12, along with helpful strategies to make learning easier.
3 × 1 through 3 × 12
| Equation | Answer |
|---|---|
| 3 × 1 | 3 |
| 3 × 2 | 6 |
| 3 × 3 | 9 |
| 3 × 4 | 12 |
| 3 × 5 | 15 |
| 3 × 6 | 18 |
| 3 × 7 | 21 |
| 3 × 8 | 24 |
| 3 × 9 | 27 |
| 3 × 10 | 30 |
| 3 × 11 | 33 |
| 3 × 12 | 36 |
Tips for Learning
A handy trick: add the digits of any multiple of 3 and the result is also a multiple of 3 (e.g. 27 → 2 + 7 = 9).
Patterns to Notice
The ones digit repeats in a cycle of 10: 3, 6, 9, 2, 5, 8, 1, 4, 7, 0.
Fun Fact
The number 3 appears everywhere in nature — from three-leaf clovers to the three primary colors of light.
How to Learn the 3 Times Table Step by Step
- Start with skip-counting by 3s: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36.
- Use groups of 3: arrange buttons, coins, or candies in groups of 3 and count totals.
- Teach the digit-sum check: the digits of any correct answer will add up to 3, 6, or 9.
- Practice in order, then shuffle. Focus extra time on 3×7, 3×8, and 3×9.
- Connect to the 6 times table: once 3s are solid, 6s are just doubling the answer.
Common Mistakes & How to Fix Them
Mistake: Mixing up 3×7=21 and 3×8=24
Fix: Use the anchor: 3×6=18. Then 18+3=21 (×7) and 21+3=24 (×8).
Mistake: Confusing 3×4=12 with 3×5=15
Fix: Remind them: 3×5 always ends in 5 (odd×5 rule).
Real-World Examples
- Wheels on tricycles — 5 tricycles have 3 × 5 = 15 wheels.
- Meals per day — 3 meals × 7 days = 21 meals per week.
- Triangle sides — to find the total perimeter of equal triangles, multiply sides by 3.
Related Times Tables
The 3 times table is the foundation for the 6 times table (double the 3s) and the 9 times table (triple the 3s). It also helps verify answers in the 12 times table since 12 = 3 × 4.
Quick Trick
Add the digits of the answer — they're always divisible by 3! (e.g., 27 → 2+7=9)
Practice Activities
- Clap game: count to 36 and clap on every multiple of 3.
- Triangle groups: arrange snacks in groups of 3 and count the total.
- Dice game: roll a die, multiply by 3, say the answer.
Frequently Asked Questions
How can my child check answers for the 3 times table?
Add the digits: if the sum is divisible by 3, the answer is correct. For example, 3 × 8 = 24, and 2 + 4 = 6, which is divisible by 3.
What makes the 3 times table tricky?
Unlike 2s or 5s, there is no single obvious pattern in the last digit. The digit-sum trick helps make it manageable.
What order should I teach the 3 times table facts?
Start with 3×1, 3×2, 3×5, and 3×10 (easiest). Then add 3×3, 3×4, 3×9. Save 3×6, 3×7, and 3×8 for last as these are the hardest.
Is there a song or rhyme for the 3 times table?
Skip-counting to a rhythm works well: "3, 6, 9 — the goose drank wine!" Many children find that chanting the sequence rhythmically helps it stick.
How does the 3 times table help with division?
Every 3× fact has a matching division fact. If your child knows 3 × 8 = 24, they also know 24 ÷ 3 = 8 and 24 ÷ 8 = 3.