Tables from 1 to 30: Times & Multiplication Tables

Multiplication Tables From 1 To 30

The tables from 1 to 30 are the products of each number from 1 to 30 multiplied by $1, 2, 3$, and so on. Rather than thirty separate lists to store, the grid below is one object you read two ways: pick the row for a number, run across to the column for the multiplier, and the cell where they meet is the product.

Here is the master grid to the tenth multiple. To keep it readable it stops at $\times 10$; each individual table page linked further down carries the same rows extended to $\times 20$.

Each row has its own full walkthrough - chart to $\times 20$, patterns, and common mistakes:

• Low tables: 2 times table, 3 times table, 4 times table, 5 times table, 6 times table, 7 times table, 8 times table, 9 times table.

• Teen tables: table of 11, 12 times table, 13 times table, 14 times table, 15 times table, 16 times table, 17 times table, 18 times table, table of 19, 20 times table.

• Twenties: table of 21, table of 22, table of 23, 24 times table, 25 times table, table of 26, table of 27, table of 28, table of 29, table of 30.

How Do You Read These Tables?

Reading a row is the whole skill. Take the row for 7 and the column for 8: they cross at 56, so $7 \times 8 = 56$. The first number is the size of each group, the second is how many groups you have, and the cell is the total.

The grid is symmetric, meaning $a \times b$ equals $b \times a$, so the crossing of row 7, column 8 gives the same 56 as row 8, column 7. That mirror halves the work - learn the upper triangle and the lower triangle comes free.

How To Learn The Tables From 1 To 30 (Patterns, Not Memorizing)

Bhanzu teaches the few patterns that generate a table rather than drilling hundreds of separate facts into recall. Once you see how each row is built, you can reason out any product you forget instead of hunting for it. That structural number sense is exactly what algebra later leans on.

A grid of thirty tables rests on a small set of ideas. What is the easiest way to learn the tables from 12 to 20? Not one fact at a time - split each number into a ten and a units digit, then reuse the tables you already hold.

• Round-ten tables are a base table with a zero. Since $20 = 2 \times 10$ and $30 = 3 \times 10$, the 20s are the 2s with a zero appended and the 30s are the 3s with a zero appended. Learn the 3 times table well and the thirties come almost free.

• Place value rebuilds every teen and twenty table. Any number is its tens part plus its units part, so $(10 + k) \times n = 10n + kn$. For $17 \times 8$, that is $(10 \times 8) + (7 \times 8) = 80 + 56 = 136$ - the distributive idea you meet again in algebra.

• Doubling chains link related tables. Because $4 = 2 \times 2$, $8 = 2 \times 4$, and $16 = 2 \times 8$, the 4s, 8s, and 16s are each the previous one doubled; the same chain ties the 3s, 6s, and 12s.

• Units-digit cycles reveal base-10 structure. The 5s end in 0 or 5, the 9s have digits that always sum to 9, the 15s cycle 5, 0, 5, 0 in the units place, and each table repeats a fixed units pattern - a quick self-check, not a magic step.

• Near a round number, adjust. Since $19 = 20 - 1$, the 19s are the 20s with one copy subtracted: $19 \times 6 = 120 - 6 = 114$.

What Do The Tables Look Like In Words?

Every row of the grid can be spoken as a sentence, which is how most young learners first lock a table in. The 6 row, for example, reads "one times 6 is 6, two times 6 is 12, three times 6 is 18," on to "ten times 6 is 60."

The same spoken shape works for every row from 1 to 30 - only the number spoken changes. Pick the table you find hardest, read its row aloud a few times, then test yourself against the grid. Each individual table page sets out its own table in words in full.

Why Should You Learn The Tables From 1 To 30?

Tables to 10 cover the school basics, but the 11-to-30 range is where genuine fluency lives. Long division, fractions, percentages, and ratios all sit on top of fluent multiplication, so automatic recall removes the small pauses that otherwise interrupt every larger calculation.

The higher tables are not memorised one fact at a time - they follow the patterns above, which is the real reason to learn them. A student who can rebuild $23 \times 6$ from $20 \times 6$ plus $3 \times 6$ carries a reusable method, not a fragile fact.

Where Do These Tables Appear?

Strong recall across 1 to 30 quietly powers everyday arithmetic: splitting a bill, scaling a recipe, comparing unit prices, or reading a timetable is a multiplication or division that runs faster when the facts are automatic. The higher rows show up in their own corners too - 24 in hours of a day, 30 in days of a month, 12 in a dozen, and 25 in quarters of a rupee or dollar. For pattern-based shortcuts across all of them, the Bhanzu guide to mental math tricks is a useful companion, and teachers treat fluent tables as the bedrock of number sense rather than a memorisation chore.

Solved Examples

Example 1

What is $23 \times 6$ using the tables from 1 to 30?

Split 23 into $20 + 3$.

$20 \times 6 = 120$ and $3 \times 6 = 18$.

$120 + 18 = 138$.

Final answer: $23 \times 6 = 138$.

Example 2 (Wrong path first)

A hall has 28 rows of 9 chairs. How many chairs in total?

Wrong attempt. The rusher reads $28 \times 9$, rounds 28 to 30, gets $270$, and writes that down.

Why it breaks. Rounding 28 up to 30 added two extra rows of 9, so 270 overcounts by $2 \times 9 = 18$.

Correct. $30 \times 9 = 270$, then subtract the $18$: $270 - 18 = 252$.

Final answer: 252 chairs.

Example 3

Find $17 \times 12$.

Split 12 into $10 + 2$: $17 \times 10 = 170$ and $17 \times 2 = 34$.

$170 + 34 = 204$.

Final answer: $17 \times 12 = 204$.

Example 4

Fill in the blank: $30 \times {?} = 450$.

Divide to find the missing factor: $450 \div 30 = 15$.

Final answer: $30 \times 15 = 450$.

Example 5

What is $19 \times 19$?

Use $19 = 20 - 1$, so $19 \times 19 = (20 \times 19) - 19 = 380 - 19$.

$380 - 19 = 361$.

Final answer: $19 \times 19 = 361$.

Practice Questions

1. $14 \times 7 = {?}$

2. $21 \times 5 = {?}$

3. Fill in the blank: $25 \times {?} = 250$.

4. A box holds 12 eggs. How many eggs in 26 boxes?

5. $18 \times 9 = {?}$

6. Which is larger, $27 \times 4$ or $13 \times 8$?

7. $29 \times 3 = {?}$

8. $30 \times 20 = {?}$

Answers: 1. 98 2. 105 3. 10 4. 312 5. 162 6. $27 \times 4 = 108$ is larger than $13 \times 8 = 104$ 7. 87 8. 600.

Conclusion

• Tables from 1 to 30 sit in one symmetric master grid, so each fact is learned once, not twice.

• The round-ten rows (10, 20, 30) are base tables with a zero; the teens and twenties rebuild by splitting into tens and units.

• Every individual table from 2 to 30 has its own detailed page linked above.

To take this further with a teacher, explore Bhanzu's mental maths for kids sessions or an elementary math tutor, and build calculation speed with speed math practice.

Read More

• Multiplication Tables - the master hub with every times table in one place.

• Tables from 1 to 20 - the same master-grid treatment for the 1-to-20 range.

• How to teach multiplication - a classroom-tested guide for parents building this fluency.

• Math is Fun — Multiplication Tables - printable charts and an interactive grid.