Tables from 21 to 30: Times & Multiplication Tables

Multiplication Tables From 21 To 30

This single grid holds the tables of 21, 22, 23, 24, 25, 26, 27, 28, 29, and 30 at once. To find any product, pick the row for the table you want and the column for the multiplier; where they cross is the answer. So the 23 row under column 4 reads 92, which is $23 \times 4 = 92$.

How Do You Read These Tables?

Each row is one complete table. Read it left to right: the 23 row goes 23, 46, 69, and so on, which is "one times 23, two times 23, three times 23." The number at the top of the column tells you how many groups you are counting.

The single most useful move is to pick the table you want and the multiplier you want, then find the crossing cell. To answer "what is 23 times 4?", run along the 23 row to column 4 and read 92.

How To Learn The Tables From 21 To 30 (Patterns, Not Memorizing)

Bhanzu teaches the few patterns that generate these 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.

Ten tables rest on a small set of structural ideas:

• Break and multiply - split into twenty plus the units. Any number from 21 to 29 is twenty plus a units digit, so $(20 + k) \times n = 20n + kn$. For $23 \times 4$: $(20 \times 4) + (3 \times 4) = 80 + 12 = 92$. This is the distributive idea that returns in algebra.

• The 25 table lands only on 00, 25, 50, or 75. Because $25 = 100 \div 4$, every fourth product completes a hundred: 25, 50, 75, 100. Learn the 25 times table as your fastest anchor in this range.

• The even tables all give even products. The tables of 22, 24, 26, 28, and 30 never land on an odd number, so a stray odd answer is an instant signal you have slipped.

• The 30 table is the 3 table with a zero. Since $30 = 3 \times 10$, the table of 30 is the 3 times table with a zero appended: 3, 6, 9 becomes 30, 60, 90.

• Round to the nearest ten, then adjust. Tables like 29 and 21 sit right beside a round number: $29 \times n = 30n - n$ and $21 \times n = 20n + n$. For $29 \times 6$: $30 \times 6 = 180$, minus $6$, gives 174.

Understand these few patterns and you can rebuild any of the hundred facts in the grid rather than store each one.

What Do The Tables Look Like In Words?

Saying a row aloud is one of the fastest ways to lock it in. Each row of the grid reads as a sentence, all the way to ten.

• The 21 row: "one times 21 is 21, two times 21 is 42," on to "ten times 21 is 210."

• The 25 row: "one times 25 is 25, two times 25 is 50," on to "ten times 25 is 250."

• The 30 row: "one times 30 is 30, two times 30 is 60," on to "ten times 30 is 300."

Pick the table you find hardest, read its row aloud a few times, then test yourself against the grid. Each individual table page linked below sets out its own table in words in full.

Why Should You Learn The Tables From 21 To 30?

Tables up to 20 cover most school arithmetic, but the 21-to-30 range is where mental calculation with larger numbers becomes effortless. Someone fluent to 30 estimates faster, checks change and totals in their head, and meets long multiplication with far fewer pauses.

You are not memorising for its own sake; you are removing the small hesitations that interrupt every larger calculation. And you do not learn these tables one fact at a time - you learn the break-and-multiply pattern that generates them, which is what makes the range worth the effort.

Where Do These Tables Appear?

The 21-to-30 tables sit under a lot of everyday counting. Money in packs of 25, boxes of two dozen (the 24 table), a month of about 30 days, or a class of 28 students - each is a multiplication that runs faster when the facts are automatic. The 25 table alone powers quarter-based money, quarter-hours, and anything measured in fours.

The reach goes well beyond school: long division, fractions, percentages, and ratios all sit on top of fluent times tables, which is why the 21-to-30 range marks the move from school recall to confident mental arithmetic.

Solved Examples

Example 1

What is $23 \times 4$?

Break 23 into 20 and 3, then multiply each part.

$(20 \times 4) + (3 \times 4) = 80 + 12$

$80 + 12 = 92$

Final answer: $23 \times 4 = 92$.

Example 2 (Wrong path first)

A shop stocks 29 crates of 7 tins each. How many tins in total?

Wrong attempt. The rusher rounds 29 up to 30 and calls it $30 \times 7 = 210$.

Why it breaks. Rounding 29 to 30 adds one extra to every crate, so seven crates are overcounted by $1 \times 7 = 7$. The real total must be 7 less than 210.

Correct. $210 - 7 = 203$.

Final answer: 203 tins.

Example 3

Find $25 \times 8$.

The 25 table lands on hundreds every fourth step: $25 \times 4 = 100$, so $25 \times 8 = 200$.

Final answer: $25 \times 8 = 200$.

Example 4

Which is larger, $27 \times 6$ or $26 \times 7$?

$27 \times 6 = 162$ and $26 \times 7 = 182$.

Final answer: $26 \times 7 = 182$ is larger.

Example 5

$30 \times {?} = 240$.

The 30 table is the 3 table with a zero, so $240 \div 30 = 8$.

Final answer: $30 \times 8 = 240$.

Practice Questions

1. $21 \times 7 = {?}$

2. $25 \times 6 = {?}$

3. Fill in the blank: $23 \times {?} = 138$.

4. A tray holds 24 eggs. How many eggs in 5 trays?

5. $29 \times 3 = {?}$

6. Which is larger, $27 \times 5$ or $22 \times 6$?

7. $30 \times 9 = {?}$

8. A box holds 28 crayons. How many crayons in 6 boxes?

Answers: 1. 147 2. 150 3. 6 4. 120 5. 87 6. $27 \times 5 = 135$ is larger 7. 270 8. 168 crayons.

Conclusion

The tables from 21 to 30 sit on one big idea - break each number into twenty and its units digit, then multiply the parts - plus a few anchors: the 25 table's 00/25/50/75 cycle, the even-only rows, and the 30 table as the 3 table with a zero. Learn those, and every product from $21 \times 1$ to $30 \times 10$ is something you can rebuild rather than recall. To take these tables further with a teacher, explore mental maths for kids or an elementary math tutor, and for pattern-based speed work try math programs for kids.

Read More

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

• Tables from 1 to 20 - the full 1-to-20 master grid.

• Table of 21 - twenty-one as 20 + 1, or 3 × 7.

• Table of 22 - double the 11 table.

• Table of 23 - the prime, split into 20 + 3.

• 24 times table - two dozen, double the 12 table.

• 25 times table - lands on 00, 25, 50, or 75.

• Table of 26 - double the 13 table.

• Table of 27 - triple the 9 table.

• Table of 28 - double the 14 table.

• Table of 29 - the prime, 30 − 1.

• Table of 30 - the 3 table with a zero.

• How to teach multiplication - classroom-tested ways to build table fluency.