Tables From 12 To 20 : Charts, Patterns, and How To Learn Them

Multiplication Tables From 12 To 20

The tables from 12 to 20 are the multiplication facts for the numbers 12, 13, 14, 15, 16, 17, 18, 19, and 20. The grid below lists each one from ×1 to ×10 in a single view.

How Do You Read These Tables?

Pick a row for the table you want, then read across to the column for the multiplier. Row 16, column 7 reads 112, which is $16 \times 7 = 112$.

Each row also grows by a fixed step: the 14 row climbs by 14 each column, the 18 row by 18. If you lose a cell, add the row's number to the value on its left to rebuild it.

How To Learn The Tables From 12 To 20 (Patterns, Not Memorizing)

Bhanzu teaches the few patterns that generate these tables rather than drilling ninety separate facts into recall. Almost every table from 12 to 20 is a smaller, familiar table rebuilt through doubling or place value, so you can reason a row back instead of storing it. That habit of building from structure is the number sense algebra later leans on.

Place value builds every teen table. Any number from 12 to 19 is a ten plus a units digit, so $(10 + k) \times n = 10n + kn$. For $17 \times 6$: $(10 \times 6) + (7 \times 6) = 60 + 42 = 102$.

Doubling links half of these tables to smaller ones. Since $14 = 2 \times 7$, $16 = 2 \times 8$, and $18 = 2 \times 9$, the 14s, 16s, and 18s are each a smaller table doubled. The 18s are the 9 times table doubled, so $18 \times 4$ is $9 \times 4 = 36$, doubled to 72.

The 15s and 20s ride the fives and tens. Every 15 product ends in 0 or 5, and the 20s are the 2s with a zero appended, so $20 \times 7 = 140$. These are the easiest anchors in the range.

The 19s are the 20s minus one row. Because $19 = 20 - 1$, use $19 \times n = 20n - n$. For $19 \times 6$: $120 - 6 = 114$. Building from a round number and stepping back is often faster than building up.

What Do The Tables Look Like In Words?

Each row of the grid can be read as a sentence, which is how young learners often meet a table before they read it off a chart. The 12 row reads "one times 12 is 12, two times 12 is 24, three times 12 is 36," on to "ten times 12 is 120."

The same spoken pattern works for every table in the range. Every product in these tables is a multiple of the row number, so reading a row aloud is really skip-counting in that number.

Why Should You Learn The Tables From 12 To 20?

Tables up to 12 cover the school basics, but stretching to 20 builds real fluency. Long multiplication, division, fractions, and percentages all move faster when 16 × 8 or 19 × 7 is instant rather than a fresh calculation.

You are not learning ninety isolated facts; you are learning the patterns that generate them, so the load is far lighter than it looks. Reliable mental math tricks like doubling and rounding turn most of these rows into one or two easy steps.

Where Do These Tables Appear And Matter In Real Life?

These tables run through everyday counting in larger groups. A dozen (12) and its multiples price eggs and pastries, 16 ounces make a pound, 15- and 20-minute blocks structure schedules, and 20 shows up in scores, currencies, and percentages.

They also sit under school arithmetic: area of a 14-by-16 room, a recipe scaled 18 times, or a bill split across 12 people. Fluency here removes the small pauses that otherwise slow every larger calculation.

Solved Examples

Example 1

Find $12 \times 8$ from the grid.

Row 12, column 8, or split $12 = 10 + 2$: $(10 \times 8) + (2 \times 8) = 80 + 16$.

$12 \times 8 = 96$

Final answer: $12 \times 8 = 96$.

Example 2 (Wrong path first)

What is $18 \times 6$?

Wrong attempt. The rusher takes 18 as $9 \times 2$, computes $9 \times 6 = 54$, and writes 54.

Why it breaks. That is the 9 table's answer; 18 is double 9, so the 18s must be double the 9s.

Correct. $9 \times 6 = 54$, then double it.

$18 \times 6 = 108$

Final answer: $18 \times 6 = 108$.

Example 3

Find $19 \times 7$.

Use $19 = 20 - 1$: $20 \times 7 = 140$, then subtract one 7.

$140 - 7 = 133$

Final answer: $19 \times 7 = 133$.

Example 4

$15 \times {?} = 120$.

Divide to find the missing factor: $120 \div 15 = 8$.

Final answer: $15 \times 8 = 120$.

Example 5

A hall has 16 rows of 9 chairs. How many chairs?

$16 \times 9 = (10 \times 9) + (6 \times 9) = 90 + 54 = 144$.

Final answer: 144 chairs.

Practice Questions

1. $13 \times 6 = {?}$

2. $17 \times 4 = {?}$

3. Fill in the blank: $20 \times {?} = 160$.

4. $14 \times 7 = {?}$

5. Which is larger, $18 \times 5$ or $16 \times 6$?

6. $19 \times 9 = {?}$

7. A box holds 12 jars. How many jars in 12 boxes?

8. $15 \times 10 = {?}$

Answers: 1. 78 2. 68 3. 8 4. 98 5. $18 \times 5 = 90$ and $16 \times 6 = 96$, so $16 \times 6$ is larger 6. 171 7. 144 8. 150.

Conclusion

The tables from 12 to 20 look like ninety new facts but are really a handful of patterns: split into tens and units, double the smaller tables, and step the 19s down from the 20s. Learn the structure and the whole range becomes rebuildable rather than memorised.

To take these higher tables further with a teacher, a structured mental maths for kids program builds the doubling and rounding habits, and a middle school math tutor can connect table fluency to long multiplication and division.

Read More

• Tables from 1 to 20 hub - the full 1–20 master grid and every individual table.

• 12 times table - dozens, split into 10 + 2.

• 13 times table - split into 10 + 3.

• 14 times table - double the 7 table.

• 15 times table - ends in 5 or 0, half of 30.

• 16 times table - double the 8 table.

• 17 times table - split into 10 + 7.

• 18 times table - double the 9 table.

• Table of 19 - build down from the 20s.

• 20 times table - the 2 table with a zero.

• How to teach multiplication - pattern-first approaches for parents and teachers.

• Math is Fun — Multiplication Tables - printable charts and practice.