15 Times Table Chart & Learning Guide
15× Table (1-12)
15× Up to 20
The 10+Half Trick
Patterns
Practice Quiz
Understanding the 15 Times Table
The 15 times table is an essential multiplication table that combines the simplicity of multiplying by 10 with the ease of multiplying by 5. Learning the 15 times table chart helps students develop advanced mental math skills and prepares them for more complex calculations. The table of 15 has clear patterns that make it easier to learn: every product alternates between ending in 5 and 0, and there's a powerful "multiply by 10, then add half" trick that makes calculations quick and simple.
Why Learn the 15 Times Table?
- Quarter-hour calculations: Essential for time (15 minutes = quarter hour)
- Money calculations: Useful for pricing (15 cents, 15 dollars)
- Mental math mastery: The 10+half trick enables fast calculations
- Clear patterns: Alternating 5-0 endings make it predictable
- Real-world applications: Measurements, percentages, conversions
- Advanced preparation: Foundation for higher mathematics
Complete 15 Times Table Chart
| Multiplication | Answer | Ends In | Tens Pattern |
|---|---|---|---|
| 15 × 1 | 15 | 5 | 1 (odd) |
| 15 × 2 | 30 | 0 | 3 (odd) |
| 15 × 3 | 45 | 5 | 4 (even) |
| 15 × 4 | 60 | 0 | 6 (even) |
| 15 × 5 | 75 | 5 | 7 (odd) |
| 15 × 6 | 90 | 0 | 9 (odd) |
| 15 × 7 | 105 | 5 | 10 (even) |
| 15 × 8 | 120 | 0 | 12 (even) |
| 15 × 9 | 135 | 5 | 13 (odd) |
| 15 × 10 | 150 | 0 | 15 (odd) |
| 15 × 11 | 165 | 5 | 16 (even) |
| 15 × 12 | 180 | 0 | 18 (even) |
Quick Reference - 15 Times Table:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300
The Powerful 10 + Half Trick
🎯 Multiply by 15 in Seconds!
The Formula: 15 × n = (10 × n) + (½ × 10 × n)
Example 1: 15 × 8
Step 1: Multiply by 10 → 8 × 10 = 80
Step 2: Find half of that → 80 ÷ 2 = 40
Step 3: Add them together → 80 + 40 = 120 ✓
Example 2: 15 × 12
Step 1: 12 × 10 = 120
Step 2: Half of 120 = 60
Step 3: 120 + 60 = 180 ✓
💡 Alternative Method: Add number to half itself, then ×10
Example: 15 × 6 = (6 + 3) × 10 = 9 × 10 = 90
Amazing Patterns in the 15 Times Table
Units Digit Pattern
Every multiple of 15 alternates between ending in 5 and 0:
15
30
45
60
75
90
Odd multipliers end in 5 | Even multipliers end in 0
Tens Place Pattern
The tens digit follows: Two odd, Two even (repeating)
15 (odd), 30 (odd) → Two odd
45 (even), 60 (even) → Two even
75 (odd), 90 (odd) → Two odd
105 (even), 120 (even) → Two even
Relationship to Other Tables
The 15 times table connects to others:
- 15 = 3 × 5: Combine 3× and 5× tables
- 15 = 10 + 5: Add 10× and 5× tables
- 15 × 2 = 30: Same as 3 × 10
- 15 × 4 = 60: Same as 6 × 10
15 Times Table Up to 20
| × | Answer | × | Answer |
|---|---|---|---|
| 15 × 1 | 15 | 15 × 11 | 165 |
| 15 × 2 | 30 | 15 × 12 | 180 |
| 15 × 3 | 45 | 15 × 13 | 195 |
| 15 × 4 | 60 | 15 × 14 | 210 |
| 15 × 5 | 75 | 15 × 15 | 225 |
| 15 × 6 | 90 | 15 × 16 | 240 |
| 15 × 7 | 105 | 15 × 17 | 255 |
| 15 × 8 | 120 | 15 × 18 | 270 |
| 15 × 9 | 135 | 15 × 19 | 285 |
| 15 × 10 | 150 | 15 × 20 | 300 |
Frequently Asked Questions
What is the 15 times table?
The 15 times table is a multiplication table showing products of 15 multiplied by numbers 1-12 (and beyond): 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180. Every answer alternates between ending in 5 (odd multipliers) and 0 (even multipliers).
What is the trick for learning the 15 times table?
The best trick for the 15 times table is the "10 + half" method: multiply the number by 10, then add half of that result. Example: 15 × 8 = (8 × 10) + (80 ÷ 2) = 80 + 40 = 120. This makes mental calculation fast and easy.
What pattern does the 15 times table chart follow?
The 15 times table chart follows two patterns: (1) Units digits alternate 5-0-5-0 (15, 30, 45, 60...), and (2) Tens digits follow "two odd, two even" sequence (1-odd, 3-odd, 4-even, 6-even, 7-odd, 9-odd...).
What is the 15 times table up to 20?
The 15 times table up to 20 extends from 15 × 1 = 15 through 15 × 20 = 300. Key values include: 15 × 15 = 225, 15 × 20 = 300. This extended range is useful for advanced calculations and real-world applications.
How do you quickly multiply by 15?
To quickly multiply by 15: (1) Multiply the number by 10, (2) Find half of that result, (3) Add them together. Alternative: Add the number to half of itself, then multiply by 10. Example: 15 × 6 = (6 + 3) × 10 = 90.
Why do all multiples of 15 end in 5 or 0?
All multiples of 15 end in 5 or 0 because 15 = 3 × 5, and when you multiply 5 by any integer, the result always ends in either 5 (if multiplied by odd) or 0 (if multiplied by even). This consistent pattern makes the table predictable.
What is 1 times 15 times table?
1 times 15 times table refers to the complete 15 multiplication table starting from 15 × 1 = 15. The sequence progresses: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, and continues following the same pattern.
How is the 15 times table used in real life?
The 15 times table is used for: calculating quarter-hours (15 minutes), money calculations (15 cents/dollars), percentages (15% tips), measurements (15 cm, 15 inches), scheduling (15-minute intervals), and quick mental math in shopping and budgeting.
What are times tables up to 15?
Times tables up to 15 refer to all multiplication tables from 1 through 15. This includes the standard 1-12 tables plus the extended 13, 14, and 15 tables. Learning up to 15 provides comprehensive multiplication knowledge for advanced math.
How long does it take to learn the 15 times table?
Most students can learn the 15 times table in 1-2 weeks with the 10+half trick. The alternating 5-0 pattern can be recognized in minutes. Practice 10-15 minutes daily, focusing on the trick method for quick mastery and automatic recall.
Tips for Mastering the 15 Times Table
Learning Strategy:
- Master the 10+half trick: This is the fastest method for any 15× calculation
- Know the 5 times table: Use 15 = 3 × 5 for double-checking
- Recognize the 5-0 pattern: Odd multipliers = 5, even = 0
- Practice the alternative: (n + n/2) × 10 method
- Learn related tables: Master 10× and 5× to support 15×
- Daily practice: 10-15 minutes with mental calculations
- Use skip counting: Count by 15s regularly (15, 30, 45...)
- Apply in real situations: Use 15× for time and money calculations