The Full 12×12 Multiplication Table
| × | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
| 2 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 |
| 3 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 | 33 | 36 |
| 4 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 | 44 | 48 |
| 5 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 |
| 6 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 | 66 | 72 |
| 7 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 | 77 | 84 |
| 8 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 | 88 | 96 |
| 9 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 | 99 | 108 |
| 10 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 | 110 | 120 |
| 11 | 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 110 | 121 | 132 |
| 12 | 12 | 24 | 36 | 48 | 60 | 72 | 84 | 96 | 108 | 120 | 132 | 144 |
How Many Facts Do You Actually Need to Learn?
The full 12×12 table has 144 cells, which sounds daunting. But because multiplication is commutative (3×7 = 7×3), the table is symmetric. Remove duplicates and you're down to 78 unique facts. Remove the trivially easy ×1, ×2, and ×10 tables, and you're left with around 55 facts that actually need practice. That's much more manageable.
The ones people consistently find hardest: 6×7=42, 6×8=48, 7×8=56, 7×12=84, and really anything in the 7 or 8 times table. Those deserve the most drilling.
Patterns and Tricks for Each Table
The 2 Times Table
Just count in even numbers. Or double the number. Every answer is even. The easiest one after ×1.
The 5 Times Table
Every answer ends in 0 or 5. Multiply by 10 and halve it: 5 × 8 = (10 × 8) ÷ 2 = 40.
The 9 Times Table
Two tricks here. First: the digit sum of every answer adds up to 9 (9, 18, 27, 36... 1+8=9, 2+7=9, 3+6=9). Second: the tens digit is always one less than the number you're multiplying by, and the two digits add to 9.
9 × 8 = ? Tens = 7, Ones = 2. Answer: 72
There's also the finger trick: hold out all 10 fingers. For 9 × n, fold down the nth finger. Fingers to the left = tens digit, fingers to the right = ones digit. (Sounds gimmicky but it works instantly for kids.)
The 10 Times Table
Just add a zero. 10 × 7 = 70. Done. The easiest table of all, really.
The 11 Times Table (up to 9)
For 11 × any single digit: just repeat the digit. 11 × 3 = 33, 11 × 7 = 77, 11 × 9 = 99. For 11 × 10 to 12, just work them out normally — 110, 121, 132.
The 12 Times Table
Think of it as ×10 plus ×2: 12 × 7 = (10 × 7) + (2 × 7) = 70 + 14 = 84. Splitting into two easier multiplications works for any table.
The Hardest Facts — Focused Practice List
These are the ones that cause the most hesitation in tests. Worth spending specific time on these rather than cycling through the whole table equally:
| Fact | Answer | Memory Hook |
|---|---|---|
| 6 × 7 | 42 | The answer to everything (ref. Hitchhiker's Guide) |
| 6 × 8 | 48 | 6 and 8 are even; 48 ends in 8 |
| 7 × 8 | 56 | "5, 6, 7, 8" — 56 = 7 × 8 |
| 7 × 12 | 84 | 12 × 7: 70 + 14 = 84 |
| 8 × 9 | 72 | 9 trick: 8-1=7, so 72 |
| 8 × 12 | 96 | 80 + 16 = 96 |
| 9 × 12 | 108 | 90 + 18 = 108 |
How to Learn Times Tables Efficiently
A few approaches that work better than just re-reading the table over and over:
- Spaced repetition — Test yourself on facts at increasing intervals. Get one right today, test again tomorrow, then in three days, then a week. This is how long-term memory actually works.
- Focus on the hard ones — Spending equal time on 2×5 (trivial) and 7×8 (hard) is inefficient. Front-load your practice time on facts that don't come automatically.
- Use the patterns — The 9-times trick and the "double the half" for 5s are genuinely faster than memorization for some people.
- Reverse direction too — Practice "what times 7 equals 56?" not just "7 × 8 = ?" Division fluency depends on knowing multiplication from both ends.
Why Times Tables Still Matter
Yes, calculators exist. But mental arithmetic matters for estimation, checking if an answer is reasonable, and speed in exams where you can't always reach for a calculator. More importantly, fluent multiplication underpins fraction work, factoring, mental algebra, and general number sense. It's one of those foundational skills where the investment pays dividends across basically everything else.
For practice and drilling specific tables, the SolveCalc times table tool lets you generate and test any range of multiplication facts.
Conclusion
The 12×12 table is really about 55 genuinely unique facts once you account for the symmetry and the easy tables. Patterns in the 5s, 9s, and 11s reduce the load further. The hardest cluster is the 6×7, 7×8, 6×8 family — those need deliberate repetition more than anything else. Once the tables are locked in, so much of everything else in math becomes smoother. It's worth the effort.