Multiplication Tables From 13 To 20
This single grid holds the tables of 13, 14, 15, 16, 17, 18, 19, and 20 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 17 row under column 4 reads 68, which is $17 \times 4 = 68$.
× | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
13 | 13 | 26 | 39 | 52 | 65 | 78 | 91 | 104 | 117 | 130 |
14 | 14 | 28 | 42 | 56 | 70 | 84 | 98 | 112 | 126 | 140 |
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?
Each row is one complete table. Read it left to right: the 14 row goes 14, 28, 42, and so on, which is "one times 14, two times 14, three times 14." The number at the top of the column tells you how many groups you are counting.
The single most useful move is to read the table you want and the multiplier you want, then find the crossing cell. To answer "what is 17 times 4?", run along the 17 row to column 4 and read 68.
How To Learn The Tables From 13 To 20 (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate these tables rather than drilling eighty separate facts into recall. Once you see how a teen 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.
Eight tables rest on a small set of structural ideas:
Place value builds every teen table. Any number from 13 to 19 is a ten plus a units digit, so $(10 + k) \times n = 10n + kn$. For $17 \times 6$, split 17 into 10 and 7: $(10 \times 6) + (7 \times 6) = 60 + 42 = 102$. This is the distributive idea that returns in algebra.
The even tables come from doubling. Because $14 = 2 \times 7$, $16 = 2 \times 8$, and $18 = 2 \times 9$, the 14s, 16s, and 18s are each a smaller table doubled. Learn the 7 times table, the 8 times table, and the 9 times table, then double each product.
The 15s end in 5 or 0. Every product of 15 lands on a 5 or a 0 (15, 30, 45, 60), because $15 = 3 \times 5$ carries that 5. The tens digit climbs one step every two rows.
The 20s are the 2s with a zero. Since $20 = 2 \times 10$, the 20 table is the 2 times table with a zero appended: 2, 4, 6 becomes 20, 40, 60.
The primes 13, 17, and 19 lean fully on place value. They have no small factor to double from, so the $10n + kn$ split is the reliable way to rebuild any of their rows.
Understand these few patterns and you can rebuild any of the eighty 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 13 row: "one times 13 is 13, two times 13 is 26, three times 13 is 39," on to "ten times 13 is 130."
The 16 row: "one times 16 is 16, two times 16 is 32," on to "ten times 16 is 160."
The 20 row: "one times 20 is 20, two times 20 is 40," on to "ten times 20 is 200."
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 13 To 20?
Tables up to 12 cover the school basics, but the 13-to-20 range is where genuine fluency shows up. Someone who has stretched recall from 12 to 20 finds long multiplication lighter, estimation sharper, and mental arithmetic less of a bottleneck.
You are not memorising for its own sake; you are removing the small pauses that interrupt every larger calculation. And you do not learn these tables one fact at a time - you learn the patterns above that generate them, which is what makes the range worth the effort.
Where Do These Tables Appear?
The teen and twenty tables quietly power everyday arithmetic. Scaling a recipe by 16, working out the cost of 18 identical items, splitting a bill among a group, converting weeks into days (a table of 14 for fortnights) - each is a multiplication that runs faster when the facts are automatic.
The reach goes well beyond school: long division, fractions, percentages, and ratios all sit on top of fluent times tables, which is why teachers treat the 13-to-20 range as the bridge from basic recall to real number sense.
Solved Examples
Example 1
What is $14 \times 9$?
Double the 7 table: $7 \times 9 = 63$, then double.
$63 \times 2 = 126$
Final answer: $14 \times 9 = 126$.
Example 2 (Wrong path first)
A hall has 17 rows of 6 seats. How many seats in total?
Wrong attempt. The rusher reads $17 \times 6$ as $10 \times 6 = 60$ and stops.
Why it breaks. That counts only the ten in seventeen and ignores the seven, so it is short by $7 \times 6 = 42$ seats.
Correct. Split 17 into 10 and 7: $(10 \times 6) + (7 \times 6) = 60 + 42 = 102$.
$17 \times 6 = 102$
Final answer: 102 seats.
Example 3
Find $15 \times 8$.
The 15s end in 5 or 0: $(10 \times 8) + (5 \times 8) = 80 + 40 = 120$.
Final answer: $15 \times 8 = 120$.
Example 4
Which is larger, $18 \times 7$ or $19 \times 6$?
$18 \times 7 = 126$ and $19 \times 6 = 114$.
Final answer: $18 \times 7 = 126$ is larger.
Example 5
$20 \times {?} = 160$.
The 20 table is the 2 table with a zero, so $160 \div 20 = 8$.
Final answer: $20 \times 8 = 160$.
Practice Questions
$13 \times 7 = {?}$
$16 \times 5 = {?}$
Fill in the blank: $15 \times {?} = 90$.
A box holds 18 pencils. How many in 4 boxes?
$19 \times 3 = {?}$
Which is larger, $17 \times 5$ or $14 \times 6$?
$20 \times 9 = {?}$
A fortnight is 14 days. How many days in 6 fortnights?
Answers: 1. 91 2. 80 3. 6 4. 72 5. 57 6. $17 \times 5 = 85$ is larger 7. 180 8. 84 days.
Conclusion
The tables from 13 to 20 sit on a handful of patterns: split each number into a ten and a units digit, double the smaller tables for the even ones, and lean on the 5-and-0 ending of the 15s and the zero-trick of the 20s. Learn those, and every product from $13 \times 1$ to $20 \times 10$ 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.
13 times table - split into 10 + 3.
14 times table - double the 7 table.
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 10 + 9, or 20 − 1.
20 times table - the 2 table with a zero.
How to teach multiplication - classroom-tested ways to build table fluency.
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