Multiplication Facts
Up to 12 × 12 there are 144 facts, but only 78 different pairs to learn, because 3 × 4 and 4 × 3 are the same fact.
How few facts are left at each step
Learn the tables in this order and count each pair once. The number of facts you still need to learn drops fast:
| After learning | Pairs still to learn (of 78) |
|---|---|
| 1s, 2s, 5s and 10s | 36 |
| + 3s, 4s, 9s and 11s | 10 |
| + 6s and 12s | 3 |
| + 7s and 8s | 0 |
Counted on the 1–12 chart, with a fact and its turn-around counted once.
Fact families
Each multiplication fact comes with a turn-around and two division facts. Knowing 7 × 8 = 56 means you also know 8 × 7 = 56, 56 ÷ 7 = 8 and 56 ÷ 8 = 7. Practicing the family together makes division much easier later.
Practice the facts
- Interactive multiplication chart with a hide-answers mode
- Multiplication quiz for any mix of tables
- Flash cards for all 144 facts
- Tricks for each table
Questions and answers
What are multiplication facts?
Multiplication facts are the products of two whole numbers, usually from 1 × 1 up to 10 × 10 or 12 × 12, that students learn to recall quickly, like 6 × 7 = 42.
How many multiplication facts are there up to 12 × 12?
The 12 × 12 chart has 144 squares. Counting a fact and its turn-around once (3 × 4 and 4 × 3), there are 78 different pairs.
What is a fact family?
Three numbers that belong together, with two multiplication and two division facts: 6 × 8 = 48, 8 × 6 = 48, 48 ÷ 6 = 8 and 48 ÷ 8 = 6.
When are students expected to know their multiplication facts?
In the US Common Core standards, by the end of grade 3 students should know from memory all products of two one-digit numbers. In England, the national curriculum expects facts up to 12 × 12 by the end of year 4.