What Are Multiplication Tables?
A multiplication table is the list of products you get when you multiply one number by each whole number in turn. The table of 6, for example, is 6, 12, 18, 24, and so on — each step adds one more group of six. Learning the tables turns slow repeated addition into instant recall, which is the foundation every later topic in arithmetic and algebra builds on.
What Does The Multiplication Table Chart From 1 To 10 Look Like?
The 1-to-10 grid is the heart of every times table. To find any product, pick the row for one factor and the column for the other; where they cross is the answer. So the 7 row under column 8 reads 56, which is $7 \times 8 = 56$.
× | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
2 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |
3 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 |
4 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 |
5 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 |
6 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 |
7 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 |
8 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 |
9 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 |
10 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
How Do You Read A Multiplication Table?
Each row is one complete table. Read it left to right: the 4 row goes 4, 8, 12, and so on, which is "one times 4, two times 4, three times 4." The number at the top of the column tells you how many groups you are counting, and the cell where a row and column meet is the product. Because $a \times b = b \times a$, the grid is a mirror image across its diagonal, so learning one half gives you the other for free.
How To Learn Multiplication Tables (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate the tables rather than drilling a hundred separate facts into recall. Once you see how a table is built, you can reason out any product you forget instead of hunting for it from memory. That is the number sense you carry forward into algebra.
The whole system rests on a short list of structural ideas:
The 2s, 4s, and 8s are a doubling chain. Double the 2s to get the 4s, double the 4s to get the 8s, because $4 = 2 \times 2$ and $8 = 2 \times 4$. Learn one and you reuse it for its relatives.
The 5s and 10s are the fastest anchors. The 5 table ends in 0 or 5 and is half of the matching ten, while the 10 table just appends a zero, so $10 \times n$ writes itself.
The 9 table has a digit-sum pattern. Every product in the 9 table has digits that add to 9 (18, 27, 36, 45), and the tens digit climbs by one while the units digit falls by one - the structure of base ten, not a magic trick.
Place value builds every larger table. Any two-digit number is a ten-part plus a units digit, so $(10a + k) \times n = 10an + kn$. For $23 \times 4$: $(20 \times 4) + (3 \times 4) = 80 + 12 = 92$ — the distributive idea you meet again in algebra.
Factor composition reuses tables you know. Because $12 = 2 \times 6$, $30 = 3 \times 10$, and $51 = 3 \times 17$, a larger table is often a smaller one doubled, tripled, or shifted by a zero.
Understand these few patterns and you can rebuild any fact in any table rather than store each one separately.
What Are All The Multiplication Tables?
Every individual times table is linked below, from the core 2-to-20 set through to the larger tables. Each page has its own chart to ×20, the table in words, the patterns specific to that number, worked examples, and practice.
Core Tables (2 To 20)
Table of 2 · Table of 3 · Table of 4 · Table of 5 · Table of 6 · Table of 7 · Table of 8 · Table of 9 · Table of 10 · Table of 11 · Table of 12 · Table of 13 · Table of 14 · Table of 15 · Table of 16 · Table of 17 · Table of 18 · Table of 19 · Table of 20
Tables 21 To 30
Table of 21 · Table of 22 · Table of 23 · Table of 24 · Table of 25 · Table of 26 · Table of 27 · Table of 28 · Table of 29 · Table of 30
Tables 31 To 50
Table of 31 · Table of 32 · Table of 33 · Table of 34 · Table of 35 · Table of 36 · Table of 37 · Table of 38 · Table of 39 · Table of 40 · Table of 41 · Table of 42 · Table of 43 · Table of 44 · Table of 45 · Table of 46 · Table of 47 · Table of 48 · Table of 49 · Table of 50
Tables 51 To 70
Table of 51 · Table of 52 · Table of 53 · Table of 54 · Table of 55 · Table of 56 · Table of 57 · Table of 58 · Table of 59 · Table of 60 · Table of 61 · Table of 62 · Table of 63 · Table of 64 · Table of 65 · Table of 66 · Table of 67 · Table of 68 · Table of 69 · Table of 70
Tables 71 To 100
Table of 71 · Table of 72 · Table of 73 · Table of 74 · Table of 75 · Table of 76 · Table of 77 · Table of 78 · Table of 79 · Table of 80 · Table of 81 · Table of 82 · Table of 83 · Table of 84 · Table of 85 · Table of 86 · Table of 87 · Table of 88 · Table of 89 · Table of 90 · Table of 91 · Table of 92 · Table of 93 · Table of 94 · Table of 95 · Table of 96 · Table of 97 · Table of 98 · Table of 99 · Table of 100
Larger Tables (Above 100)
Table of 102 · Table of 105 · Table of 108 · Table of 112 · Table of 115 · Table of 120 · Table of 121 · Table of 123 · Table of 124 · Table of 125 · Table of 135 · Table of 144 · Table of 145 · Table of 150 · Table of 180 · Table of 192 · Table of 196 · Table of 200 · Table of 215 · Table of 225 · Table of 250 · Table of 400 · Table of 450 · Table of 1000
What Are The Multiplication Table Ranges?
These range charts gather several tables into one grid, which is the fastest way to see the patterns that connect neighbouring tables:
Tables from 1 to 10 · Tables from 1 to 12 · Tables from 1 to 20 · Tables from 1 to 30 · Tables from 1 to 100 · Tables from 2 to 20 · Tables from 11 to 20 · Tables from 11 to 30 · Tables from 12 to 15 · Tables from 12 to 20 · Tables from 13 to 20 · Tables from 15 to 20 · Tables from 15 to 25 · Tables from 15 to 30 · Tables from 20 to 25 · Tables from 21 to 30 · Tables from 41 to 50
Why Are Multiplication Tables Important?
Fluent tables are the quiet engine under almost all later maths. Long multiplication, division, fractions, percentages, ratios, and early algebra all move faster when the basic products are automatic, because the working memory freed up can go to the actual problem instead of the arithmetic. The goal is not recall for its own sake - it is removing the small pauses that interrupt every larger calculation.
Where Do Multiplication Tables Appear?
Times tables run under an enormous amount of daily life: pricing several identical items, scaling a recipe, splitting a bill, converting weeks into days, working out areas, and reading any rate — speed, wages, data. Every one of those is a multiplication that runs faster when the tables are second nature, which is why they are taught early and revisited often.
Conclusion
Multiplication tables are a system, not a list of facts to cram: the doubling chain, the 5-and-10 anchors, the 9s digit-sum, and the place-value split generate every table from 2 to 1000. Learn those patterns, use the individual table pages above to practise, and any product becomes something you can rebuild rather than recall. To take table fluency further with a teacher, explore Bhanzu's mental maths for kids or an elementary math tutor, and for pattern-based speed work try math programs for kids.
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