TablesHow to say the table of 22
22 one is 22, 22 twos are 44, 22 threes are 66, 22 fours are 88, 22 fives are 110, 22 sixes are 132, 22 sevens are 154, 22 eights are 176, 22 nines are 198, 22 tens are 220.
A quick way to work it out
Double the table of 11. For 22 × 4, 11 × 4 = 44 and double is 88. For 22 × 7: 77 doubled is 154. Or split into twenty times plus two times.
Patterns in the table of 22
- Last digit. The last digits run 2, 4, 6, 8 and 0 and then start again, a cycle of five. All of them are even, so no answer in the table of 22 can be odd.
- Odd and even. 22 is even, so every answer is even, whatever you multiply by.
- Digit totals. Add the digits of each answer until one digit is left. For the first nine answers you get 4, 8, 3, 7, 2, 6, 1, 5 and 9: every digit from 1 to 9, once each. This happens for every number that is not a multiple of 3.
- Steps of 22. Each answer is 22 more than the one above it. So if 22 × 7 slips your mind, take 22 × 6 = 132 and add 22 to get 154.
- Total of the first ten. Add the first ten answers and you get 1210. That is 55 × 22, because 1 + 2 + 3 and so on up to 10 is 55.
How the table of 22 is built
22 is not prime: it can be written as 2 × 11. So its table can be built from a smaller one. For example 22 × 6 is 2 × 66, and 11 × 6 = 66, so the answer is 2 × 66 = 132. The square of 22 is 22 × 22 = 484. On a multiplication chart the squares lie on the diagonal line from top left to bottom right.
Split it. Above 10, the sure method is to split the number into tens and units. 22 × 8 is 20 × 8 plus 2 × 8, which is 160 + 16 = 176.
Where you meet 22
Two teams of 11 put 22 players on a cricket or football field, and a cricket pitch is 22 yards long.
Division facts from this table
Every line gives a division fact for free. From 22 × 7 = 154 you know that 154 ÷ 22 = 7 and 154 ÷ 7 = 22. To divide a number by 22, look for it in the answers above: 198 is on line 9, so 198 ÷ 22 = 9. More on this in division from tables.
Try these
Tap a question to see the answer.
22 × 5 = ?
110. One way: 22 × 4 = 88, and one more 22 makes 110.
? × 22 = 176
8, because 8 × 22 = 176.
88 ÷ 22 = ?
4. Division reads the table backwards: 22 × 4 = 88.
One bus ticket costs ₹22. What do 8 tickets cost?
22 × 8 = 176 rupees.
Which of these is not in the table of 22: 66, 89, 110 and 176?
89. The others are 22 × 3, 22 × 5 and 22 × 8.
Next
All tables: 1 to 10, 11 to 20, 21 to 30. Methods: table tricks.