Multiplication Tables From 15 To 20
The tables from 15 to 20 are the products of each of these six numbers multiplied by $1, 2, 3$, and so on. They are the tables most students reach for after the basics, and every one of them can be rebuilt from the smaller tables rather than stored fresh.
Here is the master grid to the tenth multiple. Each individual table page linked at the end carries the same rows extended to $\times 20$.
× | 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 |
How Do You Read These Tables?
Reading a row is the whole skill. Take the row for 17 and the column for 8: they cross at 136, so $17 \times 8 = 136$. The first number is the size of each group, the second is how many groups you have, and the cell is the total.
Each row also climbs by a fixed step equal to its own number: the 15 row rises by 15 every column (15, 30, 45), the 18 row by 18. Spot the step and you can extend any row past where the grid stops.
How To Learn The Tables From 15 To 20 (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate a table rather than drilling its facts into recall. Each table from 15 to 20 is built from a smaller table you already hold, so you can rebuild any row by reasoning instead of reciting. That structural view is the number sense algebra later leans on.
How do you learn the 15 times table without rote recall? Split 15 into $10 + 5$, so $15 \times n = 10n + 5n$ - multiply by ten, then add half of that. For $15 \times 6$: $60 + 30 = 90$.
The 15s cycle 5, 0 in the units place and are half of the 30s: $15 \times 4 = 60$, and $30 \times 4 = 120$ is exactly double.
The 16s are the 8s doubled, because $16 = 2 \times 8$. Since $8 \times 7 = 56$, $16 \times 7 = 112$.
The 17s split into a ten and seven: $17 \times n = 10n + 7n$. For $17 \times 8$: $80 + 56 = 136$.
The 18s are the 9s doubled, because $18 = 2 \times 9$. Since $9 \times 6 = 54$, $18 \times 6 = 108$.
The 19s are the 20s minus one copy, because $19 = 20 - 1$: $19 \times n = 20n - n$. So $19 \times 7 = 140 - 7 = 133$; notice the tens digit rises by 2 and the units digit falls by 1 down the column.
The 20s are the 2 table with a zero, because $20 = 2 \times 10$. Since $2 \times 9 = 18$, $20 \times 9 = 180$.
What Do The Tables Look Like In Words?
Every row can be spoken as a sentence, which is how most learners first lock a table in. The 16 row reads "one times 16 is 16, two times 16 is 32, three times 16 is 48," on to "ten times 16 is 160."
The same spoken shape works for 15, 17, 18, 19, and 20 - only the number spoken changes. Read the row you find hardest aloud a few times, then test yourself against the grid.
Why Should You Learn The Tables From 15 To 20?
These tables build real fluency past the school basics. Long multiplication, estimation, and mental arithmetic all get lighter once 15 through 20 are automatic, so the small pauses that interrupt bigger calculations disappear.
They also unlock quick shortcuts elsewhere: the 15s power half-hour and quarter-hour time math, the 20s scale scores and prices fast, and the 25s and 30s just beyond this range follow the same round-number logic. You learn the patterns once and reuse them widely.
Where Do These Tables Appear?
These tables turn up wherever quantities cluster near twenty. Eggs and pastries come in boxes of 18 or 20, screen sizes and shoe measurements lean on 16ths and 20ths, and money counts fast in 20s. The 15s show up on every clock face, where 15 minutes is a quarter turn and $15 \times 4 = 60$ closes the hour. For pattern-based shortcuts across these, the Bhanzu guide to mental math tricks is a useful companion, and teachers treat fluent tables as the base of number sense rather than a memorisation chore.
Solved Examples
Example 1
Using the tables from 15 to 20, find $18 \times 5$.
Read down the 18 row to the fifth column, or halve $18 \times 10 = 180$.
$180 \div 2 = 90$.
Final answer: $18 \times 5 = 90$.
Example 2 (Wrong path first)
How many times should you multiply 17 to reach 136?
Wrong attempt. The rusher guesses 17 goes into 136 about seven times, since $17 \times 7 = 119$ feels close.
Why it breaks. $119$ is not $136$; the guess stopped one step short of the target.
Correct. Continue: $17 \times 8 = 119 + 17 = 136$.
Final answer: $17 \times 8 = 136$, so multiply 17 by 8.
Example 3
Find $19 \times 9$.
Use $19 = 20 - 1$: $19 \times 9 = (20 \times 9) - 9 = 180 - 9$.
$180 - 9 = 171$.
Final answer: $19 \times 9 = 171$.
Example 4
A room has 16 rows of 12 seats. How many seats?
The 16s are the 8s doubled: $8 \times 12 = 96$, doubled is $192$.
Final answer: 192 seats.
Example 5
Fill in the blank: $20 \times {?} = 260$.
Divide to find the missing factor: $260 \div 20 = 13$.
Final answer: $20 \times 13 = 260$.
Practice Questions
$15 \times 7 = {?}$
$16 \times 9 = {?}$
$17 \times 6 = {?}$
A tray holds 18 muffins. How many on 4 trays?
$19 \times 8 = {?}$
Which is larger, $16 \times 8$ or $20 \times 6$?
Fill in the blank: $18 \times {?} = 162$.
$20 \times 20 = {?}$
Answers: 1. 105 2. 144 3. 102 4. 72 5. 152 6. $16 \times 8 = 128$ is larger than $20 \times 6 = 120$ 7. 9 8. 400.
Conclusion
Tables from 15 to 20 each rebuild from a smaller table: the 16s double the 8s, the 18s double the 9s, the 19s subtract from the 20s, and the 20s are the 2s with a zero.
Reading a row and spotting its fixed step of 15, 16, 17, 18, 19, or 20 lets you extend it past the grid.
Each individual table has its own detailed page linked below.
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 full master-grid treatment for the 1-to-20 range.
15 times table, 16 times table, and 17 times table - the lower half of this range in full.
18 times table, table of 19, and 20 times table - the upper half in full.
Math is Fun — Multiplication Tables - printable charts and an interactive grid.
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