Multiplication Table Of 21
The table of 21 is the list of products you get when you multiply 21 by each whole number in turn. Because 21 sits one above 20, and because $21 = 3 \times 7$, every row can be reached two easy ways.
Table Of 21 Up To 10
Multiplication | Product |
|---|---|
$21 \times 1$ | 21 |
$21 \times 2$ | 42 |
$21 \times 3$ | 63 |
$21 \times 4$ | 84 |
$21 \times 5$ | 105 |
$21 \times 6$ | 126 |
$21 \times 7$ | 147 |
$21 \times 8$ | 168 |
$21 \times 9$ | 189 |
$21 \times 10$ | 210 |
Table Of 21 Up To 20
Multiplication | Product |
|---|---|
$21 \times 11$ | 231 |
$21 \times 12$ | 252 |
$21 \times 13$ | 273 |
$21 \times 14$ | 294 |
$21 \times 15$ | 315 |
$21 \times 16$ | 336 |
$21 \times 17$ | 357 |
$21 \times 18$ | 378 |
$21 \times 19$ | 399 |
$21 \times 20$ | 420 |
What Is The Table Of 21 In Words?
Reading each row aloud builds the rhythm before the numbers settle in.
One times 21 is 21
Two times 21 is 42
Three times 21 is 63
Four times 21 is 84
Five times 21 is 105
Six times 21 is 126
Seven times 21 is 147
Eight times 21 is 168
Nine times 21 is 189
Ten times 21 is 210
What Is The 21 Times Table?
The 21 times table is repeated addition of 21. Each row adds one more group of twenty-one, so the table answers "how much is twenty-one, added to itself, again and again?"
Built from the ground up, the ladder looks like this:
$21$
$21 + 21 = 42$
$21 + 21 + 21 = 63$
$21 + 21 + 21 + 21 = 84$
Multiplication is the shortcut for this stacking, which is why $21 \times 4$ and "four twenty-ones added together" both give 84.
What Are The Multiples Of 21?
The multiples of 21 are the numbers you reach by skip-counting in twenty-ones. The first twenty multiples are:
21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420.
Every entry in the table of 21 is a multiple of 21, and each is also a multiple of 3 and of 7, since $21 = 3 \times 7$. There is a neat check: the ones digit of $21 \times k$ is just the ones digit of $k$, because 21 is one above 20.
How To Learn The 21 Times Table (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate a table rather than drilling its facts into recall, so a student can rebuild any row by reasoning and carry that number sense into algebra. The table of 21 sits right next to the easy 20s and splits neatly into 3 and 7, so no row needs to be stored on its own.
Every pattern below comes from two facts: $21 = 20 + 1$, and $21 = 3 \times 7$.
Pattern 1: Twenty times, then add the multiplier. Because $21k = 20k + k$, you multiply by 20 and add the multiplier. For $21 \times 6$: $20 \times 6 = 120$, then $120 + 6 = 126$.
Pattern 2: The ones digit copies the multiplier. Since 21 is one above 20, the ones digit of $21 \times k$ matches the ones digit of $k$: $21 \times 7$ ends in 7 (147), $21 \times 9$ ends in 9 (189).
Pattern 3: Three sevens, so use the tables you know. Because $21 = 3 \times 7$, reach a row through the 3 times table or the 7 times table: for $21 \times 4$, take $7 \times 4 = 28$ and triple it to 84, or $3 \times 4 = 12$ and multiply by 7.
Pattern 4: Split the multiplier by place value. For $21 \times 13$, read 13 as $10 + 3$, so $21 \times 13 = (21 \times 10) + (21 \times 3) = 210 + 63 = 273$ - the distributive idea you meet again as $21(10 + 3)$ in algebra.
How Do You Read And Use The Table Of 21?
Read each row left to right: $21 \times 6 = 126$ is "twenty-one multiplied six times gives one hundred twenty-six." The first number is the group size, the second is the count of groups, and the product is the total.
To learn it, recite the rows while checking that the ones digit copies the multiplier, then quiz yourself in a shuffled order so you are recalling facts rather than reciting a chant. The twenty-plus-one rule is your safety net, so if a row slips, rebuild it from the 20s.
Where Does The Table Of 21 Appear?
Twenty-one runs through games and coming-of-age counts. A game of cards to 21, a three-week stretch of 21 days, or a set of 21-gun salutes all read straight off this table. It also shows up wherever things group in sevens across three parts, such as 21 players across three seven-a-side teams, so the multiples give running totals without recounting.
Solved Examples Of The Table Of 21
Example 1
What is $21 \times 6$?
Use twenty-plus-one: $20 \times 6 = 120$.
$120 + 6 = 126$
Final answer: $21 \times 6 = 126$.
Example 2
A box holds 21 pencils. How many pencils are in 9 boxes?
Wrong attempt. A rusher reads $21 \times 9$ as roughly $20 \times 9 = 180$ and writes 180.
Why it breaks. Rounding 21 down to 20 drops one pencil from every box, so 180 undercounts by 9 whole pencils, one for each box.
Correct. Take $20 \times 9 = 180$, then add the 9 you dropped.
$180 + 9 = 189$
Final answer: 189 pencils.
Example 3
Find $21 \times 13$.
Split it: $21 \times 10 = 210$ and $21 \times 3 = 63$.
$210 + 63 = 273$
Final answer: $21 \times 13 = 273$.
Example 4
$21 \times {?} = 315$.
Divide to find the missing factor: $315 \div 21 = 15$.
Final answer: $21 \times 15 = 315$.
Example 5
A habit is said to take 21 days to form. How many days are three such stretches?
Triple the 21: $21 \times 3 = 63$.
Final answer: 63 days.
What Are Common Mistakes With The Table Of 21?
Mistake 1: Rounding to 20 and forgetting to add back
Where it slips in: Using the twenty-plus-one method but stopping at the $20 \times k$ step.
Don't do this: Writing $21 \times 6 = 120$ (that is $20 \times 6$, with no addition).
The correct way: Take $20 \times 6 = 120$, then add 6, giving $21 \times 6 = 126$.
Mistake 2: Adding 1 instead of the multiplier
Where it slips in: Knowing to add, but always adding 1 rather than the number you multiplied by.
Don't do this: Writing $21 \times 8 = 160 + 1 = 161$.
The correct way: You dropped one 8 by rounding down, so add 8: $160 + 8 = 168$. The step-up equals the multiplier.
Practice Questions On The Table Of 21
$21 \times 4 = {?}$
$21 \times 9 = {?}$
Fill in the blank: $21 \times {?} = 252$.
A packet holds 21 sweets. How many sweets are in 6 packets?
$21 \times 11 = {?}$
Which is larger, $21 \times 8$ or $21 \times 7$?
$21 \times 20 = {?}$
Use twenty-plus-one to find $21 \times 15$.
Answers: 1. 84 2. 189 3. 12 4. 126 5. 231 6. $21 \times 8 = 168$ is larger 7. 420 8. 315.
Conclusion
The table of 21 is easiest to hold not as twenty separate rows but as two simple moves: multiply by 20 and add the number, or split 21 into 3 and 7. Read the chart, check that the ones digit copies the multiplier, and rebuild any row you forget rather than storing it. To keep building this skill with a teacher, explore mental maths for kids, work through the patterns with an elementary math tutor, or explore structured math programs for kids.
Read More
Tables from 1 to 20 — every chart from 2 to 20 in one place.
20 times table — the round-number neighbour behind the twenty-plus-one pattern.
Table of 30 — a round-number table built from the threes.
Mental math tricks — more pattern-based shortcuts for fast calculation.
Math is Fun — Multiplication Tables — printable charts and practice from an external reference.
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