The 21 times table
Twenty-one is 3 × 7, so the 21s are the 7s tripled. Most learners find the 20 + 1 split even faster: the 2s with a zero, plus the number once.
- 21×1=21
- 21×2=42
- 21×3=63
- 21×4=84
- 21×5=105
- 21×6=126
- 21×7=147
- 21×8=168
- 21×9=189
- 21×10=210
- 21×11=231
- 21×12=252
How to learn the 21s
Each line means “21 groups of”. So 21 × 4 = 84 means four groups of 21 make 84. Every answer is just 21 more than the one before: 21, 42, 63, 84, 105…
The highlighted facts, 21 × 7 = 147, 21 × 8 = 168 and 21 × 9 = 189, are the ones learners usually find hardest. The tips below give you a way into each one.
Self-test: press “Hide answers”, say each answer out loud, then tap a fact to check it.
In real life
Three weeks are 21 days, so 21 × 4 = 84 days is twelve weeks, about three months.
Three ways to make the 21s easy
Twenty plus one
Work out 20 × the number, then add the number once more.
21 × 8 = 160 + 8 = 168Triple the 7s
Find the 7s answer and multiply it by 3.
7 × 9 = 63 → 21 × 9 = 63 × 3 = 189Check the last digit
A 21s answer always ends in the same digit as the number you multiply by.
21 × 7 = 147 (ends in 7), 21 × 12 = 252 (ends in 2)Spot the pattern
Last digits of 21 × 1 to 21 × 10:
Ends like the 1s. 21, 42, 63, 84, 105, 126, 147: the last digits go 1, 2, 3, 4, 5, 6, 7, the same as the number of steps.
Double the ones. For 21 × 1 to 21 × 4 the tens digit is double the ones digit: 21, 42, 63, 84.
A multiple of 3 and 7. Every 21s answer is a multiple of both 3 and 7. So its digits always add up to 3, 6 or 9 (keep adding): 168 → 1 + 6 + 8 = 15 → 6.
The matching division facts
Every multiplication fact gives you a division fact for free. If 21 × 7 = 147, then 147 ÷ 21 = 7.
- 21 ÷ 21 = 1
- 42 ÷ 21 = 2
- 63 ÷ 21 = 3
- 84 ÷ 21 = 4
- 105 ÷ 21 = 5
- 126 ÷ 21 = 6
- 147 ÷ 21 = 7
- 168 ÷ 21 = 8
- 189 ÷ 21 = 9
- 210 ÷ 21 = 10
- 231 ÷ 21 = 11
- 252 ÷ 21 = 12
21 times table worksheet
Free, no sign-up. A 2-page PDF: the full table with tricks and division facts, plus a worksheet (fill-in, missing numbers, division) with an answer key. US Letter, A4-safe.
Next steps
Tables that connect to the 21s
- 20 times table — 21 × a number is 20 × it, plus the number once more
- 7 times table — every 21s answer is in the 7s
- 3 times table — every 21s answer is in the 3s
- 14 times table — a good table to practice next
- ×22 times table
- ×33 times table
- ×44 times table
- ×55 times table
- ×66 times table
- ×77 times table
- ×88 times table
- ×99 times table
- ×1010 times table
- ×1111 times table
- ×1212 times table
- ×1313 times table
- ×1414 times table
- ×1515 times table
- ×1616 times table
- ×1717 times table
- ×1818 times table
- ×1919 times table
- ×2020 times table
- ×2121 times table
- ×2424 times table
- ×2525 times table
- ×3030 times table
Practice the 21s anywhere
Take the tables with you: games, quizzes and division drills at your own level, even offline.
- Six ways to practice, including Times Table Game, Speed Tap and Timed Quiz
- Pick your range: tables 1–10, 1–20 or 1–30
- Multiplication and division, with instant feedback and answer review
- Core practice works offline after setup
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