TablesHow to say the table of 26
26 one is 26, 26 twos are 52, 26 threes are 78, 26 fours are 104, 26 fives are 130, 26 sixes are 156, 26 sevens are 182, 26 eights are 208, 26 nines are 234, 26 tens are 260.
A quick way to work it out
Twenty-five times plus once, or double the table of 13. For 26 × 4: 100 + 4 = 104. For 26 × 6: 13 × 6 = 78, doubled is 156.
Patterns in the table of 26
- Last digit. The last digits run 6, 2, 8, 4 and 0 and then start again, a cycle of five. All of them are even, so no answer in the table of 26 can be odd.
- Odd and even. 26 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 8, 7, 6, 5, 4, 3, 2, 1 and 9: every digit from 1 to 9, once each. This happens for every number that is not a multiple of 3.
- Steps of 26. Each answer is 26 more than the one above it. So if 26 × 7 slips your mind, take 26 × 6 = 156 and add 26 to get 182.
- Total of the first ten. Add the first ten answers and you get 1430. That is 55 × 26, because 1 + 2 + 3 and so on up to 10 is 55.
How the table of 26 is built
26 is not prime: it can be written as 2 × 13. So its table can be built from a smaller one. For example 26 × 6 is 2 × 78, and 13 × 6 = 78, so the answer is 2 × 78 = 156. The square of 26 is 26 × 26 = 676. 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. 26 × 8 is 20 × 8 plus 6 × 8, which is 160 + 48 = 208.
Where you meet 26
The English alphabet has 26 letters. A year has 26 fortnights, since 26 × 14 = 364 days.
Division facts from this table
Every line gives a division fact for free. From 26 × 7 = 182 you know that 182 ÷ 26 = 7 and 182 ÷ 7 = 26. To divide a number by 26, look for it in the answers above: 234 is on line 9, so 234 ÷ 26 = 9. More on this in division from tables.
Try these
Tap a question to see the answer.
26 × 4 = ?
104. One way: 26 × 3 = 78, and one more 26 makes 104.
? × 26 = 208
8, because 8 × 26 = 208.
104 ÷ 26 = ?
4. Division reads the table backwards: 26 × 4 = 104.
A gardener plants 26 saplings in each bed. How many saplings go into 9 beds?
26 × 9 = 234 saplings.
Which of these is not in the table of 26: 78, 105, 130 and 208?
105. The others are 26 × 3, 26 × 5 and 26 × 8.
Next
All tables: 1 to 10, 11 to 20, 21 to 30. Methods: table tricks.