Multiplication Tables From 15 To 30
This single grid holds the tables of 15 through 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 24 row under column 6 reads 144, which is $24 \times 6 = 144$.
× | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
15 | 15 | 30 | 45 | 60 | 75 | 90 | 105 | 120 | 135 | 150 |
16 | 16 | 32 | 48 | 64 | 80 | 96 | 112 | 128 | 144 | 160 |
17 | 17 | 34 | 51 | 68 | 85 | 102 | 119 | 136 | 153 | 170 |
18 | 18 | 36 | 54 | 72 | 90 | 108 | 126 | 144 | 162 | 180 |
19 | 19 | 38 | 57 | 76 | 95 | 114 | 133 | 152 | 171 | 190 |
20 | 20 | 40 | 60 | 80 | 100 | 120 | 140 | 160 | 180 | 200 |
21 | 21 | 42 | 63 | 84 | 105 | 126 | 147 | 168 | 189 | 210 |
22 | 22 | 44 | 66 | 88 | 110 | 132 | 154 | 176 | 198 | 220 |
23 | 23 | 46 | 69 | 92 | 115 | 138 | 161 | 184 | 207 | 230 |
24 | 24 | 48 | 72 | 96 | 120 | 144 | 168 | 192 | 216 | 240 |
25 | 25 | 50 | 75 | 100 | 125 | 150 | 175 | 200 | 225 | 250 |
26 | 26 | 52 | 78 | 104 | 130 | 156 | 182 | 208 | 234 | 260 |
27 | 27 | 54 | 81 | 108 | 135 | 162 | 189 | 216 | 243 | 270 |
28 | 28 | 56 | 84 | 112 | 140 | 168 | 196 | 224 | 252 | 280 |
29 | 29 | 58 | 87 | 116 | 145 | 174 | 203 | 232 | 261 | 290 |
30 | 30 | 60 | 90 | 120 | 150 | 180 | 210 | 240 | 270 | 300 |
How Do You Read These Tables?
Each row is one complete table. Read it left to right: the 22 row goes 22, 44, 66, which is "one times 22, two times 22, three times 22." The number at the top of the column tells you how many groups you are counting.
The quickest move is to pick the table and the multiplier, then read the crossing cell. To answer "what is 15 times 7?", run along the 15 row to column 7 and read 105.
How To Learn The Tables From 15 To 30 (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate these tables rather than drilling more than a hundred separate facts into recall. Once you see how each 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.
Sixteen tables rest on a small set of structural ideas:
Place value builds the two-part tables. Any number here is a tens part plus a units part, so $27 \times 6 = (20 \times 6) + (7 \times 6) = 120 + 42 = 162$. The same $ (\text{tens} + \text{units}) $ split works for every row and returns in algebra as the distributive idea.
The even tables come from doubling smaller ones. Because $16 = 2 \times 8$, $22 = 2 \times 11$, $24 = 2 \times 12$, and $26 = 2 \times 13$, each is a smaller table doubled. Lean on the 2 times table to double any product you already know.
The round tens are a base table with a zero. Since $20 = 2 \times 10$ and $30 = 3 \times 10$, the 20s are the 2s and the 30s are the 3 times table with a zero appended.
The 5-ending tables stay tidy. The 15s and 25s always land on a 5 or a 0, because each carries a 5 from the 5 times table; the 25s in particular step 25, 50, 75, 100.
The multiples of 3 and 9 share a digit-sum check. The 21s ($3 \times 7$) and 27s ($3 \times 9$) are all multiples of 3, so their digit sums are divisible by 3 - a fast way to catch a slip, and the same idea underpins the 9 times table.
Understand these few patterns and you can rebuild any product 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 15 row: "one times 15 is 15, two times 15 is 30," on to "ten times 15 is 150."
The 24 row: "one times 24 is 24, two times 24 is 48," on to "ten times 24 is 240."
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 15 To 30?
The 15-to-30 range is where multiplication stops being a recall drill and becomes genuine fluency. Someone comfortable with these tables handles long multiplication, unit pricing, and estimation without reaching for a calculator.
You are not memorising for its own sake; you are removing the pauses that interrupt every larger calculation. And you do not learn sixteen tables one fact at a time - you learn the patterns above that generate them, which is what makes the range manageable.
Where Do These Tables Appear?
These tables run through daily arithmetic and beyond. A day has 24 hours (a table of 24), a quarter-hour is a step in the 15 table, a rupee or dollar counted in 25s uses the 25s, and a full turn of 360 degrees is twelve 30-degree steps.
The reach goes further: long division, fractions, percentages, and ratios all sit on top of fluent times tables. The 15-to-30 range is the bridge from basic recall to the number sense that higher math assumes you already have.
Solved Examples
Example 1
What is $15 \times 7$?
The 15s end in 5 or 0: $(10 \times 7) + (5 \times 7) = 70 + 35 = 105$.
Final answer: $15 \times 7 = 105$.
Example 2 (Wrong path first)
A theatre has 24 rows of 6 seats. How many seats in total?
Wrong attempt. The rusher reads $24 \times 6$ as $20 \times 6 = 120$ and stops.
Why it breaks. That counts only the twenty in twenty-four and ignores the four, so it is short by $4 \times 6 = 24$ seats.
Correct. Split 24 into 20 and 4: $(20 \times 6) + (4 \times 6) = 120 + 24 = 144$.
$24 \times 6 = 144$
Final answer: 144 seats.
Example 3
Find $25 \times 8$.
The 25s step 25, 50, 75, 100, so $25 \times 8 = 200$ (a quarter of 800).
Final answer: $25 \times 8 = 200$.
Example 4
Which is larger, $27 \times 5$ or $22 \times 6$?
$27 \times 5 = 135$ and $22 \times 6 = 132$.
Final answer: $27 \times 5 = 135$ is larger.
Example 5
$30 \times {?} = 210$.
The 30 table is the 3 table with a zero, so $210 \div 30 = 7$.
Final answer: $30 \times 7 = 210$.
Practice Questions
$16 \times 5 = {?}$
$21 \times 4 = {?}$
Fill in the blank: $25 \times {?} = 200$.
A box holds 18 eggs. How many in 5 boxes?
$23 \times 3 = {?}$
Which is larger, $28 \times 5$ or $26 \times 6$?
$30 \times 9 = {?}$
A day has 24 hours. How many hours in 7 days?
Answers: 1. 80 2. 84 3. 8 4. 90 5. 69 6. $26 \times 6 = 156$ is larger 7. 270 8. 168 hours.
Conclusion
The tables from 15 to 30 sit on a handful of patterns: split each number into tens and units, double smaller tables for the even ones, append a zero for 20 and 30, and lean on the tidy 5-and-0 endings of the 15s and 25s. Learn those, and every product from $15 \times 1$ 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 speed math.
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.
15 times table - ends in 5 or 0.
16 times table - double the 8 table.
17 times table - split into 10 + 7.
18 times table - double the 9 table.
19 times table - split into 20 − 1.
20 times table - the 2 table with a zero.
Table of 21 - a multiple of 3, since $21 = 3 \times 7$.
Table of 22 - double the 11 table.
Table of 23 - a prime, built by place-value split.
Table of 24 - the hours-in-a-day table, double the 12s.
Table of 25 - a quarter of 100.
Table of 26 - double the 13 table.
Table of 27 - a multiple of 3, since $27 = 3 \times 9$.
Table of 28 - double the 14 table.
Table of 29 - a prime, or 30 − 1.
Table of 30 - the 3 table with a zero.
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