Table of 27

How to say the table of 27

27 one is 27, 27 twos are 54, 27 threes are 81, 27 fours are 108, 27 fives are 135, 27 sixes are 162, 27 sevens are 189, 27 eights are 216, 27 nines are 243, 27 tens are 270.

A quick way to work it out

Thirty times minus three times. For 27 × 6: 180 − 18 = 162. Because 27 = 3 × 3 × 3 is a multiple of 9, the digits of every answer add up to 9 or a multiple of 9 (162 gives 1 + 6 + 2 = 9).

Patterns in the table of 27

• Last digit. The last digits of the first ten answers are 7, 4, 1, 8, 5, 2, 9, 6, 3 and 0. Each digit from 0 to 9 appears exactly once, which happens only for numbers ending in 1, 3, 7 or 9. After × 10 the same order repeats.
• Odd and even. 27 is odd, so the answers go odd, even, odd, even: 27, 54, 81, 108, 135 and 162. An odd number times an odd number is odd, and times an even number is even.
• Digit totals. Add the digits of any answer, and add again if you get two digits: you always reach 9. For example 189 gives 1 + 8 + 9 = 18. This is true for every multiple of 9.
• Steps of 27. Each answer is 27 more than the one above it. So if 27 × 7 slips your mind, take 27 × 6 = 162 and add 27 to get 189.
• Total of the first ten. Add the first ten answers and you get 1485. That is 55 × 27, because 1 + 2 + 3 and so on up to 10 is 55.

How the table of 27 is built

27 is not prime: it can be written as 3 × 9. So its table can be built from a smaller one. For example 27 × 6 is 3 × 54, and 9 × 6 = 54, so the answer is 3 × 54 = 162. The square of 27 is 27 × 27 = 729. 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. 27 × 8 is 20 × 8 plus 7 × 8, which is 160 + 56 = 216.

Where you meet 27

A cube of 3 small cubes each way holds 27 small cubes: 3 × 3 × 3.

Division facts from this table

Every line gives a division fact for free. From 27 × 7 = 189 you know that 189 ÷ 27 = 7 and 189 ÷ 7 = 27. To divide a number by 27, look for it in the answers above: 243 is on line 9, so 243 ÷ 27 = 9. More on this in division from tables.

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All tables: 1 to 10, 11 to 20, 21 to 30. Methods: table tricks.